Details

Time bar (total: 20.7s)

analyze6.0ms (0%)

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

Compiled 15 to 14 computations (6.7% saved)

sample4.4s (21.1%)

Results
2.8s4199×body1024valid
891.0ms2068×body512valid
410.0ms420×body2048valid
260.0ms1569×body256valid
0.0msbody256invalid
Bogosity

preprocess98.0ms (0.5%)

Algorithm
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
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (/.f64 (-.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)

simplify28.0ms (0.1%)

Algorithm
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
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
60.5b
Counts
9 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
60.5b
(-.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)

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
1.0b
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
5.5b
(-.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)

series46.0ms (0.2%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
43.0ms
x
@inf
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
1.0ms
x
@0
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
0.0ms
x
@inf
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (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)))))

rewrite127.0ms (0.6%)

Algorithm
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
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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simplify202.0ms (1%)

Algorithm
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
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)))

eval263.0ms (1.3%)

Compiler

Compiled 10542 to 9219 computations (12.5% saved)

prune79.0ms (0.4%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New27817295
Fresh000
Picked011
Done000
Total27818296
Error
58.4b
Counts
296 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
60.5b
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
60.5b
(/.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))))
60.5b
(/.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))))))))))
60.5b
(/.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))))))))
60.5b
(/.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)))))))))
60.5b
(/.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)))))))
60.5b
(/.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)))))
59.5b
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
60.3b
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
60.5b
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
61.5b
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
59.5b
(-.f64 (*.f64 1/2 (PI.f64)) (expm1.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
60.5b
(+.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)))
60.5b
(+.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))))))))
60.5b
(*.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)))))))))
60.5b
(*.f64 (/.f64 1 (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))))
60.5b
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
60.5b
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
Compiler

Compiled 1332 to 1201 computations (9.8% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
0.0b
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
0.0b
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
5.5b
(-.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)

series3.0ms (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)))))))
0.0ms
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)))

rewrite156.0ms (0.8%)

Algorithm
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
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)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
Outputs
((#(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 (*.f64 x -1/2)))) (*.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 -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))))))))))) (#(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 (*.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))))))))))) (#(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 (*.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))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (asin.f64 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-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 (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))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (*.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)) (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 (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)))) 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simplify273.0ms (1.3%)

Algorithm
egg-herbie
Rules
1092×associate-*r*
848×associate-*l*
688×+-commutative
566×*-commutative
432×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070525253
1200821627
Stop Event
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)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
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(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.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 (asin.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))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.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 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.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 x -1/2)))))
(-.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)))))
(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 (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(fma.f64 -1/32 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 (sqrt.f64 1/2) (fma.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (+.f64 (fma.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(acos.f64 (sqrt.f64 (+.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))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) 1))
(fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -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 (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 (PI.f64) 1/2 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2 (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (PI.f64) 1/2 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 0)))
(+.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))))))))
(fma.f64 (PI.f64) 1/2 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2 (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (PI.f64) 1/2 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 0)))
(+.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))))))))
(fma.f64 (PI.f64) 1/2 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2 (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (PI.f64) 1/2 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 0)))
(+.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))))))))
(fma.f64 (PI.f64) 1/2 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2 (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (PI.f64) 1/2 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 0)))
(+.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))))))))
(fma.f64 (PI.f64) 1/2 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2 (fma.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (PI.f64) 1/2 (fma.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 0)))
(+.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))))))))
(fma.f64 (PI.f64) 1/2 (fma.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))))))))
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(-.f64 (*.f64 1/2 (PI.f64)) (/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(-.f64 (*.f64 (PI.f64) 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 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
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(-.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 0))
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(-.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
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(-.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (+.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 0))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (PI.f64)))) (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (PI.f64)))) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (-.f64 1 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (PI.f64)))) (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (PI.f64)))) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) -1)
(-.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(-.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(-.f64 (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 (PI.f64) 1/2))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(-.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 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 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(*.f64 1 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(*.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))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(*.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))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(*.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))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (+.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)) (*.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 1/3)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(fabs.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(log.f64 (exp.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(expm1.f64 (log1p.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
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(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(exp.f64 (log.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1))
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(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
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(-.f64 (*.f64 1/2 (PI.f64)) (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 1/2 x)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (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 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (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 1/2 (PI.f64)) (asin.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 (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 1/2 (PI.f64)) (asin.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 (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 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.0b
(asin.f64 (sqrt.f64 1/2))
Compiler

Compiled 26 to 24 computations (7.7% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite79.0ms (0.4%)

Algorithm
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
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))))))))

simplify57.0ms (0.3%)

Algorithm
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
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))

localize93.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))
1.0b
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
5.4b
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
5.5b
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
Compiler

Compiled 74 to 62 computations (16.2% 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
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
0.0ms
x
@inf
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))

rewrite93.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
930×swap-sqr
586×associate-*r/
580×distribute-rgt-in
548×associate-*l/
528×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01795
134395
2395695
Stop Event
node limit
Counts
3 → 114
Calls
Call 1
Inputs
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
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 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 0)))) (#(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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2)) (log.f64 (cbrt.f64 (exp.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 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) (log.f64 (sqrt.f64 (exp.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 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) (log.f64 (pow.f64 (cbrt.f64 (exp.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 0 (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 (+.f64 0 (*.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 0 (*.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 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2))) (log.f64 (cbrt.f64 (exp.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 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (log.f64 (sqrt.f64 (exp.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 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.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 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.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 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 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simplify166.0ms (0.8%)

Algorithm
egg-herbie
Rules
1004×distribute-lft-in
928×fma-def
900×distribute-rgt-in
624×+-commutative
600×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01857416
14086084
215846084
358476084
Stop Event
node limit
Counts
150 → 101
Calls
Call 1
Inputs
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(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
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(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
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(/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.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 1/4 (pow.f64 (PI.f64) 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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.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 1/4 (pow.f64 (PI.f64) 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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.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 1/4 (pow.f64 (PI.f64) 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 (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))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 0)
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2)))
(+.f64 0 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))
(+.f64 (+.f64 0 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) (*.f64 (PI.f64) 1/2))
(+.f64 (+.f64 0 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) 1) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))) 1))
(-.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)))
(-.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)
(-.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)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.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)) 1)
(*.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 (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 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))))))
(/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.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 1/4 (pow.f64 (PI.f64) 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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.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 1/4 (pow.f64 (PI.f64) 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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.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 1/4 (pow.f64 (PI.f64) 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 (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))
(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))
(+.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 (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 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(*.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 (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 1/4 (pow.f64 (PI.f64) 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 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (+.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 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 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (+.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) (+.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 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)))) (+.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 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))))))
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))))))
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(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(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))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 (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 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (*.f64 (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 1/2 (PI.f64) (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 (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 (fma.f64 x -1/2 1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (PI.f64) 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 (fma.f64 x -1/2 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)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 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))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.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))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 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 (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 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 1/2 (PI.f64) (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 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (+.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.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 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (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 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 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 (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 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 1/2 (PI.f64) (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 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (+.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.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 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (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 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) (+.f64 (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 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (fma.f64 1/2 (PI.f64) (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 (+.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)))) (+.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.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 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (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 1/4 (pow.f64 (PI.f64) 2))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 1/3)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))

localize119.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
1.0b
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
5.5b
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
58.6b
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
Compiler

Compiled 153 to 134 computations (12.4% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite98.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
622×associate-*r/
548×distribute-rgt-in
540×associate-*l/
492×distribute-lft-in
324×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015130
131890
2391658
Stop Event
node limit
Counts
2 → 171
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
Outputs
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simplify131.0ms (0.6%)

Algorithm
egg-herbie
Rules
1318×associate-/r/
734×associate-+r+
662×associate-+l+
642×associate-*l*
570×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036411345
110537147
243357131
Stop Event
node limit
Counts
195 → 259
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 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 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 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1)
(-.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 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))) 1)
(-.f64 (exp.f64 (log1p.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))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (-.f64 1 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(-.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1)
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(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 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(+.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 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(+.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 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(+.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 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(+.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 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(+.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 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(+.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 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(+.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 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(+.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 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(+.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 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(+.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 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(+.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 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
(+.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1)
(+.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) 1)
(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (expm1.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(-.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))) 1)
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
(-.f64 (exp.f64 (log1p.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))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 1))
(-.f64 (expm1.f64 (log1p.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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (expm1.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (-.f64 1 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1) (*.f64 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))) (expm1.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(-.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) 1) (*.f64 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))) (expm1.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 2 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
(*.f64 2 (+.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
(*.f64 2 (-.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
(*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 0)
(fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
(*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0)
(fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(*.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2)
(*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -4)
(*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (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 1/2 x)))))) (*.f64 2 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(*.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4) 1)
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
(*.f64 1 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
(*.f64 (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) (sqrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 4))
(*.f64 4 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (-.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))
(fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 4))
(*.f64 4 (*.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))))))
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0
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0
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0
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0
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0
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(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (fma.f64 (cbrt.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)))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))
(fma.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 4) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (+.f64 (*.f64 (cbrt.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 (cbrt.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 2 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(*.f64 2 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 4)))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 4)))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (pow.f64 (cbrt.f64 (*.f64 2 (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)))
(fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 2) (*.f64 (cbrt.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 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (-.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2) (*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))))
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 4))))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (*.f64 (cbrt.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))))))) (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 1/2 x)))))) (-.f64 (*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2)))
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(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (*.f64 (cbrt.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 (cbrt.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)))))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(*.f64 0 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
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0
(*.f64 -1 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))
(*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -2))
(*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -4)
(*.f64 (*.f64 (sqrt.f64 (*.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)) (+.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 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 2 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
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(fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(*.f64 (*.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 (sqrt.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 2 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(*.f64 2 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 4)))
(*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 2 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 4)))
(*.f64 (*.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 (sqrt.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)))))))))
(fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(*.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (+.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 4))
(*.f64 4 (*.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))))))
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(fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
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(fma.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
0
(*.f64 (*.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 2)) (+.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
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0
(*.f64 (*.f64 (sqrt.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))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
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0
(*.f64 (*.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) (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))
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0
(*.f64 (*.f64 (sqrt.f64 (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 (sqrt.f64 2) (sqrt.f64 2)))
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0
(*.f64 (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (+.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)))
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(/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(*.f64 (/.f64 2 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(/.f64 (/.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0) (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 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))))
(/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(*.f64 (/.f64 2 (*.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(/.f64 (/.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0) -1) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (neg.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 (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 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0) (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 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(/.f64 (/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fabs.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (/.f64 2 (fabs.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (/.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0) (neg.f64 (sqrt.f64 2))) (sqrt.f64 (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 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 -2 (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 2))) (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (/.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0) (pow.f64 1 1/2)) (sqrt.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 1/2 x))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 2 (/.f64 (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 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0) (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 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(/.f64 (/.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fabs.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (/.f64 2 (fabs.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))
(/.f64 (neg.f64 (+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 0)) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (neg.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 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (neg.f64 (+.f64 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 (neg.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 3/2)) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(/.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2) (/.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -1/2))
(/.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/2)
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1/4) 2)
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3)
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(pow.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fabs.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1/2))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))

localize224.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(pow.f64 (PI.f64) 3)
1.0b
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)
4.9b
(-.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)))))))
5.4b
(-.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 294 to 255 computations (13.3% saved)

series5.0ms (0%)

Counts
4 → 36
Calls

9 calls:

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

rewrite173.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
574×add-sqr-sqrt
558×*-un-lft-identity
550×pow1
540×add-cbrt-cube
540×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026174
1591158
27505158
Stop Event
node limit
Counts
4 → 172
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) 2)) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))) 3)
(pow.f64 (PI.f64) 3)
Outputs
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simplify245.0ms (1.2%)

Algorithm
egg-herbie
Rules
926×associate-+r+
796×associate-+l+
690×associate-*r*
678×associate-/r*
668×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040917044
1107914396
2493114396
Stop Event
node limit
Counts
208 → 261
Calls
Call 1
Inputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (PI.f64)))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (PI.f64)))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (PI.f64)))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (PI.f64)))
(*.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))
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(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))))
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(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))
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(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))
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(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)))
Outputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (PI.f64))))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (PI.f64))))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (PI.f64))))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (PI.f64))))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (PI.f64))))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (PI.f64))))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (PI.f64))))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (PI.f64)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (PI.f64))))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (PI.f64)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (PI.f64))))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (PI.f64)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (PI.f64))))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (PI.f64)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (PI.f64))))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (PI.f64)))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (PI.f64))))
(fma.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 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 (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 (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 (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 (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 (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 (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 (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 1/2 x)))) 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 1/2 x)))) 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 1/2 x)))) 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 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 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))
(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))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.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 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))))
(fma.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 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))))
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(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))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
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(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))))
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(+.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)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))) (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)))
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(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))
(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
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(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4 (fma.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2))))
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(fma.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) (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))))
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(fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) -4))
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(+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) (fma.f64 (neg.f64 (PI.f64)) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (+.f64 (PI.f64) (neg.f64 (PI.f64))))))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 (*.f64 0 (PI.f64)) (PI.f64))))
(+.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 (*.f64 0 (PI.f64)) (PI.f64))))
(fma.f64 (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))) (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)) (*.f64 (neg.f64 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(fma.f64 (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4))) (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (neg.f64 (PI.f64))))
(fma.f64 (cbrt.f64 (*.f64 16 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4))) (cbrt.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (neg.f64 (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 2 (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))))))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 2 (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 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (neg.f64 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) (fma.f64 (neg.f64 (PI.f64)) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (+.f64 (PI.f64) (neg.f64 (PI.f64))))))
(-.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (+.f64 (*.f64 0 (PI.f64)) (PI.f64))))
(+.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 (*.f64 0 (PI.f64)) (PI.f64))))
(-.f64 (exp.f64 (log1p.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 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 2 (*.f64 (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 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 2 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 (pow.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 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 (*.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 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.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 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 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 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.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)))))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 (cbrt.f64 (pow.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)))))) (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 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 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.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 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 (*.f64 (pow.f64 (*.f64 2 (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 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 (*.f64 (pow.f64 (*.f64 2 (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 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 (*.f64 (pow.f64 (*.f64 2 (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 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(*.f64 (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2) (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2)) (*.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 2) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (cbrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 (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 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.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 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) 6))
(fabs.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)))
(sqrt.f64 (pow.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 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 1/2 x)))) 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 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(cbrt.f64 (pow.f64 (*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 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 (fma.f64 x -1/2 1/2))) 3))
(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 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(exp.f64 (*.f64 3 (log.f64 (*.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 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 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 1/2 x)))) 3))
(*.f64 8 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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) 2) (PI.f64))
(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 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(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 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(pow.f64 (PI.f64) 3)
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (*.f64 (PI.f64) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (PI.f64) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (pow.f64 (PI.f64) 4))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (*.f64 (PI.f64) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (PI.f64) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (pow.f64 (PI.f64) 4))))
(*.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) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(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 (pow.f64 (PI.f64) 3) 3))
(pow.f64 (PI.f64) 3)
(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)

eval2.4s (11.4%)

Compiler

Compiled 73089 to 64121 computations (12.3% saved)

prune986.0ms (4.8%)

Pruning

32 alts after pruning (30 fresh and 2 done)

PrunedKeptTotal
New1420231443
Fresh5712
Picked101
Done325
Total1429321461
Error
58.4b
Counts
1461 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
60.5b
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
60.5b
(/.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 (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)))))))
60.5b
(/.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)))))))))
60.5b
(/.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)))))))
60.5b
(/.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))))
60.3b
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
60.5b
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
61.5b
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
59.5b
(-.f64 (*.f64 1/2 (PI.f64)) (expm1.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
60.5b
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.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)))
60.5b
(+.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 (expm1.f64 (log1p.f64 (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)))
60.5b
(+.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 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2)))
60.5b
(+.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 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) -2)))
60.5b
(+.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)))))) (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
60.5b
(+.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)))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))
61.0b
(+.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)))))) (sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2)))
60.5b
(+.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)))))) (log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))
60.5b
(+.f64 (fma.f64 (neg.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 1/2 x))))) 3/2)) (*.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)))
60.5b
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2 (*.f64 1/2 (PI.f64))) (*.f64 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))))))))
60.5b
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 -2 (sqrt.f64 (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)))
60.5b
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (*.f64 -2 (sqrt.f64 (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 x 1/2)))) -2)))
59.5b
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
60.5b
(*.f64 (/.f64 (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 (*.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)))))))))
60.5b
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -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 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) (+.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)))))))))
61.0b
(*.f64 (/.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)))) (+.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)))))))))
60.5b
(*.f64 (/.f64 1 (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))))
59.5b
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))))
60.5b
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) -2))))
60.3b
(log.f64 (exp.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))))
60.5b
(log.f64 (exp.f64 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
60.5b
(log.f64 (exp.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
60.5b
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
Compiler

Compiled 2428 to 2205 computations (9.2% saved)

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
0.0b
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
5.4b
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))))
5.5b
(fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
Compiler

Compiled 105 to 86 computations (18.1% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite128.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1324×associate-*r/
1098×associate-*l/
408×add-sqr-sqrt
392×*-un-lft-identity
390×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020158
1410100
24890100
Stop Event
node limit
Counts
4 → 228
Calls
Call 1
Inputs
(fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(acos.f64 (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 (fma.f64 x -1/2 1/2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (/.f64 2 (PI.f64))) (+.f64 (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (/.f64 2 (PI.f64))) (+.f64 (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (PI.f64) 1/2) (/.f64 -2 (/.f64 2 (PI.f64)))) (*.f64 -2 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (PI.f64) 1/2) (/.f64 -2 (/.f64 2 (PI.f64)))) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 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simplify298.0ms (1.4%)

Algorithm
egg-herbie
Rules
1294×associate-/r*
798×associate-*r/
778×associate--r+
768×associate-+r-
758×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044315146
1114113580
2481213580
Stop Event
node limit
Counts
276 → 268
Calls
Call 1
Inputs
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
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(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
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(-.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(-.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(-.f64 (-.f64 (*.f64 (PI.f64) 1/2) (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 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2))) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(*.f64 1 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 1) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(pow.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(log.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
Outputs
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(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)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 0)
(fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 1/2 (PI.f64)))))) (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (*.f64 1/2 (PI.f64))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))))))
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(*.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2) (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 1/2 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 1/2 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(/.f64 (*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) 1) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (*.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 1/2 (PI.f64) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2)
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3)
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3) 1/3)
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(fabs.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(log.f64 (exp.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(expm1.f64 (log1p.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(exp.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(exp.f64 (*.f64 (log.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log1p.f64 (expm1.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))

localize28.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
0.0b
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
5.4b
(+.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)

series4.0ms (0%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
3.0ms
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)))

rewrite123.0ms (0.6%)

Algorithm
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
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))
(sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))
(acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.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)))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (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 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))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 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simplify201.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
041713368
1112910742
2504510742
Stop Event
node limit
Counts
168 → 231
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))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(-.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))))
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(+.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))))))
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)))
(+.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)))
(+.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)))
(+.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)))
(+.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)))
(+.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)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(fma.f64 -1/32 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2))))
(+.f64 (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(fma.f64 -1/32 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 (sqrt.f64 1/2) (fma.f64 -1/128 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)) (*.f64 -1/4 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2))) (+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (/.f64 (*.f64 -1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5))))
(+.f64 (fma.f64 -1/4 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 1/2))) (/.f64 (*.f64 -1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5))))
(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)))
(-.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)
(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 (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 (-.f64 (exp.f64 (log1p.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1) (*.f64 -1/2 (PI.f64)))
(fma.f64 -1/2 (PI.f64) (expm1.f64 (log1p.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 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 (exp.f64 (log1p.f64 (*.f64 -1/2 (PI.f64)))) 1) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (expm1.f64 (log1p.f64 (*.f64 -1/2 (PI.f64)))))
(-.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 4 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2))) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.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 -1/2 (PI.f64) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -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 (exp.f64 (log1p.f64 (*.f64 -1/2 (PI.f64)))) 1) (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (expm1.f64 (log1p.f64 (*.f64 -1/2 (PI.f64)))))
(-.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 (-.f64 (exp.f64 (log1p.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))) 1) (*.f64 -1/2 (PI.f64)))
(fma.f64 -1/2 (PI.f64) (expm1.f64 (log1p.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2)) 1)
(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 1 (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 -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 (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))))
(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 (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))
(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 (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))))
(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 (*.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 4 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2))) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2))))
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(/.f64 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 x 1/4)))))
(/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (fma.f64 (+.f64 x 1) (*.f64 x 1/4) 1/4)))
(/.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 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/4)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/4)))) (sqrt.f64 (fma.f64 1/2 x 1/2)))
(/.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 (sqrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8))) (sqrt.f64 (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 x 1/4)))))
(/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) (sqrt.f64 (fma.f64 (+.f64 x 1) (*.f64 x 1/4) 1/4)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 1/4 x)))) 1) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.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 1/4 (*.f64 x (*.f64 x 1/4)))) (sqrt.f64 (fma.f64 1/2 x 1/2)))
(/.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 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 x 1/4)))) (cbrt.f64 (-.f64 1/8 (*.f64 (pow.f64 x 3) 1/8)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) (cbrt.f64 (fma.f64 (+.f64 x 1) (*.f64 x 1/4) 1/4))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(/.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))))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 x))) (cbrt.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/4))))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (cbrt.f64 (fma.f64 1/2 x 1/2))) (cbrt.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/4)))))
(pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/2)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(pow.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))) 1)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(sqrt.f64 (fma.f64 -1/2 x 1/2))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))
(sqrt.f64 (fma.f64 -1/2 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 (fma.f64 -1/2 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 (fma.f64 -1/2 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 (fma.f64 -1/2 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 (fma.f64 -1/2 x 1/2))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 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 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(+.f64 (neg.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(+.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (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 (fma.f64 -1/2 x 1/2)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.f64 1 (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 (fma.f64 -1/2 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))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 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))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(*.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))))))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (fma.f64 1/2 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (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 (-.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 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (fma.f64 1/2 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(/.f64 (-.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 1/4 (pow.f64 (PI.f64) 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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (fma.f64 1/2 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (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 (*.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 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (fma.f64 1/2 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(/.f64 (-.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 1/4 (pow.f64 (PI.f64) 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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (fma.f64 1/2 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (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 (*.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))))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (fma.f64 1/2 (PI.f64) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))))
(/.f64 (-.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 1/4 (pow.f64 (PI.f64) 2))))
(pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (sqrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (cbrt.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 1/3)
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(sqrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2))
(fabs.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(log.f64 (exp.f64 (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 (fma.f64 -1/2 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (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 (fma.f64 -1/2 x 1/2)))
(cbrt.f64 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(expm1.f64 (log1p.f64 (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 (fma.f64 -1/2 x 1/2)))
(exp.f64 (log.f64 (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 (fma.f64 -1/2 x 1/2)))
(exp.f64 (*.f64 (log.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1))
(acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(log1p.f64 (expm1.f64 (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 (fma.f64 -1/2 x 1/2)))

localize110.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
1.0b
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
60.7b
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) -2))))
60.7b
(fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) -2))
Compiler

Compiled 120 to 105 computations (12.5% saved)

series84.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
53.0ms
x
@0
(fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) -2))
17.0ms
x
@-inf
(fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) -2))
13.0ms
x
@inf
(fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) -2))
0.0ms
x
@0
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) -2))))
0.0ms
x
@inf
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) -2))))

rewrite115.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1216×associate-*r/
1036×associate-*l/
412×add-sqr-sqrt
392×*-un-lft-identity
388×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022120
1442104
24818104
Stop Event
node limit
Counts
4 → 195
Calls
Call 1
Inputs
(fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) -2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) -2))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
Outputs
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simplify199.0ms (1%)

Algorithm
egg-herbie
Rules
1452×associate-*r/
1004×associate-*l/
988×associate--r+
850×associate-/r*
578×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037912447
187811711
2379110905
Stop Event
node limit
Counts
243 → 224
Calls
Call 1
Inputs
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(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
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(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
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(asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))
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(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))))
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(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
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(cbrt.f64 (pow.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (log.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
Outputs
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(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)))
(log.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(log.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(log.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(log.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(log.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(log.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(log.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(log.f64 (+.f64 1 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(log.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(log.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(log.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(log.f64 (+.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 0)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 0 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))))) (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))))) (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (*.f64 -2 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (+.f64 2 (*.f64 (PI.f64) 1/2)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2) (+.f64 2 (*.f64 (PI.f64) 1/2)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (+.f64 0 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) (*.f64 (PI.f64) 1/2))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (+.f64 0 (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 2))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))))) (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))))))
(+.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -2 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 2)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -2)) 2)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (-.f64 1 (*.f64 (PI.f64) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 1 (*.f64 1/2 (PI.f64))))
(fma.f64 1/2 (PI.f64) (expm1.f64 (log1p.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 1)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))) (-.f64 1 (*.f64 1/2 (PI.f64))))
(fma.f64 1/2 (PI.f64) (expm1.f64 (log1p.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
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(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))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(fabs.f64 (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)))
(fma.f64 1 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) -1)
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(fma.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -1)
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) -1)
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))
(+.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 0)
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(+.f64 0 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (log.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (log.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))))) (log.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) (log.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) 1)
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))) 1)
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(*.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(*.f64 1 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(*.f64 (sqrt.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(*.f64 (cbrt.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2) (cbrt.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(pow.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(pow.f64 (sqrt.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 2)
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(pow.f64 (cbrt.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 3)
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(pow.f64 (pow.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3) 1/3)
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(sqrt.f64 (pow.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) 2))
(fabs.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))
(log.f64 (+.f64 1 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(cbrt.f64 (pow.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 3))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(expm1.f64 (log1p.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(exp.f64 (log.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) 1))
(log1p.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))))

localize124.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
1.0b
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
2.2b
(+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
5.5b
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
Compiler

Compiled 224 to 197 computations (12.1% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite115.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
864×associate-*r/
748×associate-*l/
744×distribute-lft-in
388×add-sqr-sqrt
372×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01894
138684
2486858
Stop Event
node limit
Counts
2 → 160
Calls
Call 1
Inputs
(+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) -2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (neg.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) (*.f64 2 (sqrt.f64 (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 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) -2 (*.f64 2 (sqrt.f64 (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 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (-.f64 1 (fma.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (-.f64 1 (fma.f64 (neg.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1 (*.f64 2 (sqrt.f64 (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 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) (*.f64 2 (sqrt.f64 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x -1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))

simplify145.0ms (0.7%)

Algorithm
egg-herbie
Rules
1180×associate-/l*
1100×associate-*r*
996×associate-*l*
870×associate-/r*
590×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039312768
113427464
273847464
Stop Event
node limit
Counts
176 → 248
Calls
Call 1
Inputs
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))
(-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) -2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (neg.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) -2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (-.f64 1 (fma.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (-.f64 1 (fma.f64 (neg.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (+.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (-.f64 1 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (-.f64 1 (neg.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (-.f64 1 (*.f64 -1 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (-.f64 1 (*.f64 (neg.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4))) (cbrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
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(pow.f64 (pow.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3) 1/3)
(sqrt.f64 (*.f64 2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)))
(log.f64 (exp.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 -2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (pow.f64 (exp.f64 -2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(exp.f64 (log.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (neg.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 2) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (sqrt.f64 2) (neg.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 1 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 1 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (neg.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (neg.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) (cbrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) (cbrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (neg.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 (neg.f64 (acos.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))) (asin.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 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(*.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 1 (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)))) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1/4) (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 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (cbrt.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 (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 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1/4)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1/4))
(*.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.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 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.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 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (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 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.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 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.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 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (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 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) (+.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.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 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (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))))))))
(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)))) 2) 1/2)
(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))))))
Outputs
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
(+.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
(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 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
(-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) -2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(+.f64 0 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) -2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)
(-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(+.f64 0 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) -2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)
(-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 (neg.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) 1 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
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(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
(fma.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(+.f64 0 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) -2 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 4)
(fma.f64 (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (neg.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))
0
(fma.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) (cbrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (cbrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(fma.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) (cbrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (neg.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(fma.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 4)) (cbrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(fma.f64 (cbrt.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (cbrt.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.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 (fma.f64 x -1/2 1/2))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1 (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 (fma.f64 x -1/2 1/2))))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(+.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 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 (fma.f64 x -1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 1 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1/4) (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1/4) (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 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))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (*.f64 (cbrt.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))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.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))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1/4)) (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1/4))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (cbrt.f64 (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))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (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 (+.f64 1/2 (*.f64 x -1/2)))) (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 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (*.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 (+.f64 1/2 (*.f64 x -1/2)))) 3)) (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (+.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 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.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 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (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 (PI.f64) (*.f64 (PI.f64) 1/4))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.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 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (*.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 (+.f64 1/2 (*.f64 x -1/2)))) 3))) (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (+.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 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.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 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (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 (PI.f64) (*.f64 (PI.f64) 1/4))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) (+.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (*.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 (+.f64 1/2 (*.f64 x -1/2)))) 3)) 1) (+.f64 (*.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))) (+.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 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.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 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (*.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 3)) (fma.f64 (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 (PI.f64) (*.f64 (PI.f64) 1/4))))
(pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 1)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 2)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) 1/2)
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(pow.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3) 1/3)
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))
(fabs.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (exp.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(expm1.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(exp.f64 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 1))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log1p.f64 (expm1.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
(asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))

localize110.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
1.0b
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
5.5b
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
58.6b
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
Compiler

Compiled 207 to 180 computations (13% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
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))

rewrite77.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
952×unswap-sqr
864×swap-sqr
560×distribute-rgt-in
558×associate-*r/
522×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01637
132933
2384733
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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 (fma.f64 x -1/2 1/2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (-.f64 1 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (+.f64 (*.f64 (PI.f64) 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 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 1) (+.f64 (*.f64 (PI.f64) 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 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))))

simplify82.0ms (0.4%)

Algorithm
egg-herbie
Rules
1382×distribute-lft-in
1300×distribute-rgt-in
906×fma-def
570×associate-+r-
554×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01162280
12822256
28642256
325422256
471962256
Stop Event
node limit
Counts
46 → 46
Calls
Call 1
Inputs
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (-.f64 1 (*.f64 (PI.f64) 1/2)))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2)))))
(/.f64 (*.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2)))))
(/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2)))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
Outputs
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2)))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (-.f64 1 (*.f64 (PI.f64) 1/2)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))))) (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 2)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))))) (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 2)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))))) (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (pow.f64 (cbrt.f64 (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 2)))
(/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (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 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(/.f64 (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 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(/.f64 (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))) (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (neg.f64 (*.f64 1/2 (PI.f64)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (fma.f64 -2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (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 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(/.f64 (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 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(/.f64 (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))) (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (neg.f64 (*.f64 1/2 (PI.f64)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (fma.f64 -2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(/.f64 (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 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(/.f64 (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 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(/.f64 (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))) (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8) (pow.f64 (*.f64 1/2 (PI.f64)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) -2 (neg.f64 (*.f64 1/2 (PI.f64)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (fma.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3) -8 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (fma.f64 -2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 -1/2 (PI.f64)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))

eval2.5s (12.1%)

Compiler

Compiled 75512 to 66849 computations (11.5% saved)

prune868.0ms (4.2%)

Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New1590131603
Fresh91625
Picked101
Done246
Total1602331635
Error
58.3b
Counts
1635 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
60.6b
(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))
60.5b
(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))
60.5b
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
60.5b
(/.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 (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)))))))
60.5b
(/.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)))))))))
60.5b
(/.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)))))))
59.4b
(/.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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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)))))
59.4b
(/.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)))))))
59.4b
(/.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)))))))))
60.3b
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
60.5b
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
61.5b
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
59.5b
(-.f64 (*.f64 (/.f64 4 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2))) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2))))
60.5b
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.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)))
60.5b
(+.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 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2)))
60.5b
(+.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)))))) (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
60.5b
(+.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)))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))
60.5b
(+.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)))))) (log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))
60.5b
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2 (*.f64 1/2 (PI.f64))) (*.f64 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))))))))
60.5b
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
61.0b
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) (sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2)))
60.5b
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))
60.4b
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
60.3b
(+.f64 (*.f64 2 (acos.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2))) (*.f64 (PI.f64) -1/2))
59.5b
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
60.5b
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) -1/2))
60.5b
(*.f64 (/.f64 1 (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))))
60.5b
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) -2))))
60.3b
(log.f64 (exp.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))))
59.5b
(log.f64 (exp.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))))
60.5b
(log.f64 (exp.f64 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
60.5b
(log.f64 (exp.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
60.5b
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
Compiler

Compiled 2137 to 1948 computations (8.8% saved)

localize323.0ms (1.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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))))
1.0b
(*.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)))
1.0b
(*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
5.4b
(-.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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
Compiler

Compiled 261 to 226 computations (13.4% saved)

series16.0ms (0.1%)

Counts
4 → 36
Calls

9 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
(-.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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
1.0ms
x
@0
(-.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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
1.0ms
x
@0
(*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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))))
1.0ms
x
@inf
(*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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))))
1.0ms
x
@-inf
(*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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))))

rewrite81.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
616×add-sqr-sqrt
598×*-un-lft-identity
594×pow1
574×add-exp-log
572×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028216
1622128
Stop Event
node limit
Counts
4 → 122
Calls
Call 1
Inputs
(-.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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 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 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2)))
(*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (*.f64 (pow.f64 (PI.f64) 4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (PI.f64) 4) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (PI.f64) 4) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (+.f64 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simplify221.0ms (1.1%)

Algorithm
egg-herbie
Rules
1186×associate-+r+
1056×associate-+l+
1056×associate-/r*
802×associate-*r*
704×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034311162
197810614
2461510614
Stop Event
node limit
Counts
158 → 197
Calls
Call 1
Inputs
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 (-.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 -1/2 (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2))))
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(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3)) 2)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 2) 3))
(log.f64 (exp.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) 3)))
(fma.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) (*.f64 4 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(fma.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
Outputs
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) -1/16))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) -1/16))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) -1/16))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) -1/16))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) -1/16))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) -1/16))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) -1/16))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) -1/16))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) -1/16))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) -1/16))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) -1/16))
(-.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) -1/16))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 4))
(*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4))
(*.f64 (-.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 -1/2 (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2))))
(*.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (fma.f64 4 (pow.f64 (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 1/2 (PI.f64))))
(*.f64 (-.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 -1/2 (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2))))
(*.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (fma.f64 4 (pow.f64 (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 1/2 (PI.f64))))
(*.f64 (-.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 -1/2 (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2))))
(*.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (fma.f64 4 (pow.f64 (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 1/2 (PI.f64))))
(*.f64 (-.f64 (*.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x))))) (*.f64 -1/2 (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) 1/2))) 2))))
(*.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (fma.f64 4 (pow.f64 (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 1/2 (PI.f64))))
(*.f64 (-.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 -1/2 (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(*.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (fma.f64 4 (pow.f64 (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 1/2 (PI.f64))))
(*.f64 (-.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 -1/2 (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(*.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (fma.f64 4 (pow.f64 (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 1/2 (PI.f64))))
(*.f64 (-.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 -1/2 (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(*.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (fma.f64 4 (pow.f64 (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 1/2 (PI.f64))))
(*.f64 (-.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 -1/2 (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))))
(*.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (fma.f64 4 (pow.f64 (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 1/2 (PI.f64))))
(*.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.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 -1/2 (PI.f64))))
(*.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (fma.f64 4 (pow.f64 (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 1/2 (PI.f64))))
(*.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.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 -1/2 (PI.f64))))
(*.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (fma.f64 4 (pow.f64 (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 1/2 (PI.f64))))
(*.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.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 -1/2 (PI.f64))))
(*.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (fma.f64 4 (pow.f64 (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 1/2 (PI.f64))))
(*.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (pow.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 -1/2 (PI.f64))))
(*.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (fma.f64 4 (pow.f64 (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 1/2 (PI.f64))))
(+.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (*.f64 (pow.f64 (PI.f64) 4) 1/16))
(fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(+.f64 (*.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (PI.f64) 4) 1/16))))
(fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (*.f64 (pow.f64 (PI.f64) 4) 1/8)))
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(fma.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))) (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 4 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 1/2 (PI.f64))))))
(*.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))
(*.f64 (fma.f64 4 (pow.f64 (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 1/2 (PI.f64))))

localize20.0ms (0.1%)

Compiler

Compiled 27 to 25 computations (7.4% saved)

localize275.0ms (1.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2))
1.0b
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)
5.4b
(log.f64 (exp.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))))
5.5b
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2))
Compiler

Compiled 102 to 89 computations (12.7% saved)

series6.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite101.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
632×distribute-rgt-in
586×distribute-lft-in
530×associate-*r/
510×associate-*l/
408×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021120
142896
2468896
Stop Event
node limit
Counts
4 → 149
Calls
Call 1
Inputs
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)) -2))
(log.f64 (exp.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))))
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2)
(asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))))
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simplify137.0ms (0.7%)

Algorithm
egg-herbie
Rules
1220×distribute-lft-in
1072×distribute-rgt-in
870×*-commutative
704×unswap-sqr
550×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03479557
18048293
227338037
Stop Event
node limit
Counts
197 → 200
Calls
Call 1
Inputs
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 (+.f64 (*.f64 1/16 (sqrt.f64 1/2)) (*.f64 -3/16 (sqrt.f64 1/2))) (pow.f64 x 2))))
(+.f64 (*.f64 (+.f64 (*.f64 -7/64 (sqrt.f64 1/2)) (*.f64 3/64 (sqrt.f64 1/2))) (pow.f64 x 3)) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 (+.f64 (*.f64 1/16 (sqrt.f64 1/2)) (*.f64 -3/16 (sqrt.f64 1/2))) (pow.f64 x 2)))))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))))) 2)
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (-.f64 1 (*.f64 (PI.f64) 1/2)))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (log1p.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))))
(*.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(*.f64 1 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 2)) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 3) (pow.f64 (*.f64 (PI.f64) 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))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 2))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) 2)) 1) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 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 (fma.f64 x -1/2 1/2))) -2) (-.f64 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2) (*.f64 (PI.f64) 1/2)))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 2))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))))
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) -2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1)
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/4))
(*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/8) (*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/8) (pow.f64 (fma.f64 x -1/2 1/2) 1/4)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4)) (pow.f64 (fma.f64 x -1/2 1/2) 1/4)))
(*.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (pow.f64 (fma.f64 x -1/2 1/2) 1/8)) (pow.f64 (fma.f64 x -1/2 1/2) 1/8))
(*.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 1/2) 1/4)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x -1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 1/2))
(/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 1/4 x)))))
(/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 -1/4 (*.f64 x x)))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 1/4 x)))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1/4 (*.f64 -1/4 (*.f64 x x))))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 1/4 x)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (cbrt.f64 (+.f64 1/4 (*.f64 -1/4 (*.f64 x x))))) (cbrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 1/4 x)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/4 (*.f64 -1/4 (*.f64 x x))))) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3)))) 1) (sqrt.f64 (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 1/4 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/4 (*.f64 -1/4 (*.f64 x x)))) 1) (sqrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 1/4 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 -1/4 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (cbrt.f64 (-.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 (fma.f64 x -1/2 1/2))
(fabs.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) 1))
(+.f64 (neg.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (*.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 (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 (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 (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 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 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 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 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 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 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 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 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 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 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 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 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))
(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 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1/2) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 x)) 1/4) 2))) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 1/2)) (*.f64 1/2 (PI.f64)))
(fma.f64 -2 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))
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(/.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 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(-.f64 (*.f64 1/2 (PI.f64)) (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 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (+.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (PI.f64) (*.f64 1/4 (PI.f64)))))
(/.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 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(-.f64 (*.f64 1/2 (PI.f64)) (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 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (+.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (PI.f64) (*.f64 1/4 (PI.f64)))))
(/.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 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))
(-.f64 (*.f64 1/2 (PI.f64)) (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 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (+.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 3)) (fma.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (fma.f64 1/2 (PI.f64) (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (PI.f64) (*.f64 1/4 (PI.f64)))))
(pow.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 1)
(asin.f64 (pow.f64 (fma.f64 -1/2 x 1/2) 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 (pow.f64 (fma.f64 -1/2 x 1/2) 1/2))
(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 (pow.f64 (fma.f64 -1/2 x 1/2) 1/2))
(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 (pow.f64 (fma.f64 -1/2 x 1/2) 1/2))
(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))
(sqrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2))
(fabs.f64 (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 (pow.f64 (fma.f64 -1/2 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 (pow.f64 (fma.f64 -1/2 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 (pow.f64 (fma.f64 -1/2 x 1/2) 1/2))
(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 (pow.f64 (fma.f64 -1/2 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 (pow.f64 (fma.f64 -1/2 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 (pow.f64 (fma.f64 -1/2 x 1/2) 1/2))
(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 (pow.f64 (fma.f64 -1/2 x 1/2) 1/2))
(asin.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))

localize125.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))
1.0b
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))
1.0b
(pow.f64 (sqrt.f64 2) 2)
5.5b
(fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))
Compiler

Compiled 195 to 170 computations (12.8% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite45.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
862×associate-*r*
822×add-sqr-sqrt
806×*-un-lft-identity
764×pow1
752×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061
11221
210741
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 2) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 2)))))

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
2
Outputs
2

localize107.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
1.0b
(asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))
5.5b
(fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))
58.6b
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2))))))
Compiler

Compiled 201 to 172 computations (14.4% saved)

eval1.5s (7.4%)

Compiler

Compiled 63186 to 55570 computations (12.1% saved)

prune488.0ms (2.4%)

Pruning

40 alts after pruning (35 fresh and 5 done)

PrunedKeptTotal
New1186111197
Fresh02424
Picked101
Done358
Total1190401230
Error
58.3b
Counts
1230 → 40
Alt Table
Click to see full alt table
StatusErrorProgram
60.6b
(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))
60.5b
(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))
60.5b
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
60.5b
(/.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 (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)))))))
59.4b
(/.f64 (/.f64 (fma.f64 4096 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) 3) (*.f64 (pow.f64 (pow.f64 (PI.f64) 4) 3) -1/4096)) (fma.f64 (pow.f64 (PI.f64) 4) (*.f64 1/16 (fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))) (pow.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 4))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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)))))
59.4b
(/.f64 (/.f64 (-.f64 (*.f64 4096 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 3)) (*.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3))) (+.f64 (pow.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 4) (*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) 1/16))))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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)))))
60.5b
(/.f64 (-.f64 (pow.f64 (*.f64 4096 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 3)) 1/3) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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)))))
59.4b
(/.f64 (-.f64 (pow.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 2) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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)))))
60.5b
(/.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)))))))))
60.5b
(/.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)))))))
59.4b
(/.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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (fma.f64 64 (pow.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3) (pow.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)) (fma.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))) 2) (*.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))) (-.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))))
59.4b
(/.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)))))))
59.4b
(/.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)))))))))
60.3b
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (-.f64 1 x)))))))
60.5b
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
61.5b
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
59.5b
(-.f64 (*.f64 (/.f64 4 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2))) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2))))
60.5b
(+.f64 (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (sqrt.f64 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 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2)))
60.5b
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.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)))
60.5b
(+.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)))))) (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
60.5b
(+.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)))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))
60.5b
(+.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)))))) (+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (PI.f64) -1/2)))
60.5b
(+.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)))))) (log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)))))
60.5b
(+.f64 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2 (*.f64 1/2 (PI.f64))) (*.f64 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))))))))
60.4b
(+.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
60.5b
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
61.0b
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) (sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2)))
60.5b
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))
60.4b
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (sqrt.f64 (-.f64 (+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 2)) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
60.4b
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))
60.3b
(+.f64 (*.f64 2 (acos.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2))) (*.f64 (PI.f64) -1/2))
59.5b
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
60.5b
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 1/2))) (*.f64 (PI.f64) -1/2))
60.5b
(*.f64 (/.f64 1 (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))))
60.5b
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 1) -2))))
59.5b
(log.f64 (exp.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))))
60.5b
(log.f64 (exp.f64 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
60.5b
(log.f64 (exp.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
60.3b
(log.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))))))
60.5b
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
Compiler

Compiled 1600 to 1452 computations (9.3% saved)

regimes295.0ms (1.4%)

Counts
65 → 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 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 2 (acos.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2))) (*.f64 (PI.f64) -1/2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(log.f64 (exp.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (expm1.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(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))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
(log.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))))))
(log.f64 (exp.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))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 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)))))))
(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)))))))
(*.f64 (/.f64 1 (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))))
(log.f64 (exp.f64 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(+.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)))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.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 (*.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 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (sqrt.f64 (-.f64 (+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 2)) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(-.f64 (*.f64 (/.f64 4 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2))) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2))))
(+.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)))))) (+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (PI.f64) -1/2)))
(+.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 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2 (*.f64 1/2 (PI.f64))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (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 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (*.f64 -2 (sqrt.f64 (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 x 1/2)))) -2)))
(+.f64 (fma.f64 (neg.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 1/2 x))))) 3/2)) (*.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 (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 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.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 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 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(+.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)))))) (log.f64 (exp.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 (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 (expm1.f64 (log1p.f64 (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 (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)))))) (sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2)))
(+.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 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) -2)))
(/.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))))
(+.f64 (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (sqrt.f64 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 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2)))
(/.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))))
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) (sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2)))
(+.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)))))) (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 -2 (sqrt.f64 (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)))
(/.f64 (-.f64 (pow.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 2) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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 (-.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 (pow.f64 (*.f64 4096 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 3)) 1/3) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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 (*.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 (-.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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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 (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 (*.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) 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 (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)))) (+.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 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -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 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) (+.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 4096 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 3)) (*.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3))) (+.f64 (pow.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 4) (*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) 1/16))))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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 (-.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))))))))))
(/.f64 (/.f64 (fma.f64 4096 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) 3) (*.f64 (pow.f64 (pow.f64 (PI.f64) 4) 3) -1/4096)) (fma.f64 (pow.f64 (PI.f64) 4) (*.f64 1/16 (fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))) (pow.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 4))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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 (*.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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (fma.f64 64 (pow.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3) (pow.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)) (fma.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))) 2) (*.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))) (-.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))))
Outputs
(/.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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (fma.f64 64 (pow.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3) (pow.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)) (fma.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))) 2) (*.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))) (-.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))))
Calls

7 calls:

67.0ms
x
40.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
8.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
7.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
6.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
59.4b1x
59.4b1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
59.4b1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
59.4b1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
59.4b1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
59.4b1(/.f64 (-.f64 1 x) 2)
59.4b1(-.f64 1 x)
Compiler

Compiled 2832 to 2490 computations (12.1% saved)

regimes210.0ms (1%)

Counts
64 → 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 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 2 (acos.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2))) (*.f64 (PI.f64) -1/2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
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(/.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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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 (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 (*.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) 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 (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)))) (+.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 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (*.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -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 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2) -4))) (+.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 4096 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) 3)) (*.f64 1/4096 (pow.f64 (pow.f64 (PI.f64) 4) 3))) (+.f64 (pow.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 4) (*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 4) (*.f64 (pow.f64 (PI.f64) 4) 1/16))))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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 (-.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))))))))))
(/.f64 (/.f64 (fma.f64 4096 (pow.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) 3) (*.f64 (pow.f64 (pow.f64 (PI.f64) 4) 3) -1/4096)) (fma.f64 (pow.f64 (PI.f64) 4) (*.f64 1/16 (fma.f64 16 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 4) (*.f64 1/16 (pow.f64 (PI.f64) 4)))) (pow.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) 4))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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)))))
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 2) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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)))))
Calls

7 calls:

39.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
30.0ms
x
9.0ms
(-.f64 1 x)
6.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
5.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
Results
ErrorSegmentsBranch
59.4b1x
59.4b1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
59.4b1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
59.4b1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
59.4b1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
59.4b1(/.f64 (-.f64 1 x) 2)
59.4b1(-.f64 1 x)
Compiler

Compiled 2682 to 2360 computations (12% saved)

regimes169.0ms (0.8%)

Counts
52 → 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 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 2 (acos.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2))) (*.f64 (PI.f64) -1/2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(log.f64 (exp.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (expm1.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(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))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
(log.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))))))
(log.f64 (exp.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))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 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)))))))
(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)))))))
(*.f64 (/.f64 1 (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))))
(log.f64 (exp.f64 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))))
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(+.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)))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.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 (*.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 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (sqrt.f64 (-.f64 (+.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2) 2)) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(-.f64 (*.f64 (/.f64 4 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2))) (pow.f64 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) 2)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 x)))) (*.f64 (PI.f64) 1/2))))
(+.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)))))) (+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2)))) (*.f64 (PI.f64) -1/2)))
(+.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 (fma.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2 (*.f64 1/2 (PI.f64))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (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 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))))) (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) 3)) (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (+.f64 (pow.f64 (sqrt.f64 2) 2) -2))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))) (*.f64 -2 (sqrt.f64 (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 x 1/2)))) -2)))
(+.f64 (fma.f64 (neg.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 1/2 x))))) 3/2)) (*.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 (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 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.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 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 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) (*.f64 -2 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))))) (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2)))
(+.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)))))) (log.f64 (exp.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 (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 (expm1.f64 (log1p.f64 (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 (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)))))) (sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2)))
(+.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 (cbrt.f64 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 3)) -2)))
(/.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))))
(+.f64 (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) (sqrt.f64 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 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2)))
(/.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))))
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (-.f64 (*.f64 2 (sqrt.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))))))) (sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2)) 2)))
(+.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)))))) (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 -4 (pow.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(+.f64 (*.f64 (sqrt.f64 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (asin.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))))) (*.f64 -2 (sqrt.f64 (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)))
Outputs
(/.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)))))))
Calls

7 calls:

53.0ms
x
8.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
5.0ms
(/.f64 (-.f64 1 x) 2)
5.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
5.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
59.4b1x
59.4b1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
59.4b1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
59.4b1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
59.4b1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
59.4b1(/.f64 (-.f64 1 x) 2)
59.4b1(-.f64 1 x)
Compiler

Compiled 1799 to 1585 computations (11.9% saved)

regimes38.0ms (0.2%)

Counts
18 → 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 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 2 (acos.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2))) (*.f64 (PI.f64) -1/2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(log.f64 (exp.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (expm1.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
(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))))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))) 3)
(log.f64 (exp.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -2 (asin.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 x)) 1/4) 2))))))
(log.f64 (exp.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))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))) -2))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (-.f64 (exp.f64 (log1p.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))))) 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))
Outputs
(log.f64 (exp.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -1/2))))
Calls

7 calls:

9.0ms
x
5.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
4.0ms
(/.f64 (-.f64 1 x) 2)
3.0ms
(-.f64 1 x)
3.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
Results
ErrorSegmentsBranch
59.5b1x
59.5b1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
59.5b1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
59.5b1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
59.5b1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
59.5b1(/.f64 (-.f64 1 x) 2)
59.5b1(-.f64 1 x)
Compiler

Compiled 326 to 283 computations (13.2% saved)

regimes27.0ms (0.1%)

Counts
10 → 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 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 2 (acos.f64 (pow.f64 (pow.f64 (+.f64 1/2 (*.f64 x -1/2)) 1/4) 2))) (*.f64 (PI.f64) -1/2))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
(log.f64 (exp.f64 (+.f64 (*.f64 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) -2) (*.f64 (PI.f64) 1/2))))
(-.f64 (*.f64 1/2 (PI.f64)) (expm1.f64 (log1p.f64 (*.f64 2 (asin.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2))))))))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))) -2))))
Outputs
(+.f64 (*.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x))))) (*.f64 (PI.f64) -1/2))
Calls

7 calls:

6.0ms
x
3.0ms
(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
3.0ms
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
2.0ms
(-.f64 1 x)
Results
ErrorSegmentsBranch
59.5b1x
59.5b1(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
59.5b1(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
59.5b1(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
59.5b1(sqrt.f64 (/.f64 (-.f64 1 x) 2))
59.5b1(/.f64 (-.f64 1 x) 2)
59.5b1(-.f64 1 x)
Compiler

Compiled 188 to 163 computations (13.3% saved)

regimes5.0ms (0%)

Accuracy

Total -1.5b remaining (-2.5%)

Threshold costs -1.5b (-2.5%)

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

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
60.5b1x
Compiler

Compiled 21 to 19 computations (9.5% saved)

simplify32.0ms (0.2%)

Algorithm
egg-herbie
Rules
68×*-commutative
52×+-commutative
24×cancel-sign-sub-inv
22×sub-neg
22×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078862
1137862
2179862
3200862
4214862
5218862
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (fma.f64 64 (pow.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3) (pow.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)) (fma.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))) 2) (*.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))) (-.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 2) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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 (*.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)))))))
(log.f64 (exp.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 (PI.f64) -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 (*.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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (fma.f64 64 (pow.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3) (pow.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)) (fma.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))) 2) (*.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))) (-.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))))
(/.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 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (fma.f64 64 (pow.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3) (pow.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)) (fma.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))) 2) (*.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))) (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (*.f64 -1/4 (pow.f64 (PI.f64) 2))))))))
(/.f64 (+.f64 (*.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2))) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 2) -1/4))) (/.f64 (fma.f64 64 (pow.f64 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3) (pow.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64)))) 3)) (fma.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))) 2) (*.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2) (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) (*.f64 1/2 (PI.f64))) (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 -1/2 x 1/2))) 2)) (*.f64 (pow.f64 (PI.f64) 2) -1/4)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 2) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (neg.f64 (*.f64 (PI.f64) -1/2))) (+.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 (pow.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 2) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 1/2 (PI.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 (pow.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)) 2) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 2) -1/4))) (*.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 1/2 (PI.f64))) (+.f64 (*.f64 4 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 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 (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 x -1/2)))) 2)))
(/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) 2) -4)) (+.f64 (*.f64 -1/2 (PI.f64)) (*.f64 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) -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 2 (acos.f64 (sqrt.f64 (+.f64 1/2 (*.f64 x -1/2)))) (*.f64 -1/2 (PI.f64)))))
(log.f64 (exp.f64 (fma.f64 2 (acos.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 x)))) (*.f64 -1/2 (PI.f64)))))
(+.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 278 to 248 computations (10.8% saved)

soundness236.0ms (1.1%)

Algorithm
egg-herbie
Rules
1186×associate-+r+
1092×associate-*r*
1056×associate-+l+
1056×associate-/r*
848×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070525253
1200821627
034311162
197810614
2461510614
Stop Event
node limit
node limit
Compiler

Compiled 413 to 351 computations (15% saved)

end247.0ms (1.2%)

Compiler

Compiled 273 to 238 computations (12.8% saved)

Profiling

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