bug323 (missed optimization)

Time bar (total: 16.7s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 12 to 9 computations (25% saved)

sample2.0s (12.1%)

Results
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2.0ms512valid
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0.0ms2048valid
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0.0ms2048valid
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0.0ms256valid
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0.0ms1024valid
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0.0ms2048valid
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0.0ms2048valid
0.0ms256valid
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0.0ms1024valid
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0.0ms2048valid
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0.0ms512valid
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0.0ms256valid
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0.0ms512valid
0.0ms2048valid
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1.0ms512valid
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2.0ms1024valid
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0.0ms1024valid
0.0ms1024valid
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0.0ms2048valid
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0.0ms1024valid
0.0ms512valid
4.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms2048valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
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0.0ms256valid
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0.0ms256valid
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0.0ms512valid
0.0ms1024valid
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0.0ms1024valid
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0.0ms512valid
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0.0ms512valid
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0.0ms1024valid
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0.0ms256valid
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0.0ms256valid
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0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
73.0ms512valid
0.0ms1024valid
1.0ms1024valid
0.0ms256valid
Bogosity

preprocess226.0ms (1.4%)

Algorithm
egg-herbie
Rules
68×fma-neg
30×sub-neg
20×associate-+l-
18×distribute-lft-neg-in
18×fma-define
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(acos.f64 (-.f64 1 x))
00-0-x
00-0-(-.f64 1 x)
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01368
13360
27360
310360
414160
516660
618860
719760
Stop Event
saturated
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 (neg.f64 x)))
(neg.f64 (acos.f64 (-.f64 1 (neg.f64 x))))
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 (neg.f64 x)))
(acos.f64 (+.f64 1 x))
(neg.f64 (acos.f64 (-.f64 1 (neg.f64 x))))
(neg.f64 (acos.f64 (+.f64 1 x)))
Compiler

Compiled 27 to 20 computations (25.9% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
6.6%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize50.0ms (0.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
6.6%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(acos.f64 (-.f64 1 x))
1.0ms
x
@inf
(acos.f64 (-.f64 1 x))
1.0ms
x
@-inf
(acos.f64 (-.f64 1 x))

rewrite218.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
676×fma-define
460×unpow-prod-down
414×log1p-expm1-u
414×expm1-log1p-u
390×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
19014
2113314
Stop Event
node limit
Counts
1 → 61
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
Outputs
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 0)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))

simplify79.0ms (0.5%)

Algorithm
egg-herbie
Rules
1418×fma-neg
632×associate-/l*
442×distribute-rgt-in
442×div-sub
438×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01651592
15041525
216061513
353831513
Stop Event
node limit
Counts
65 → 70
Calls
Call 1
Inputs
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 0)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Outputs
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(acos.f64 (-.f64 1 x))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(acos.f64 (-.f64 1 x))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))

eval27.0ms (0.2%)

Compiler

Compiled 1062 to 898 computations (15.4% saved)

prune30.0ms (0.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New531770
Fresh000
Picked011
Done000
Total531871
Accuracy
10.6%
Counts
71 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.8%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.6%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
6.6%
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
6.6%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
6.6%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
6.6%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
6.6%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.6%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
10.5%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
10.5%
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
6.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
10.5%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
6.6%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
6.6%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.6%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
6.6%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
6.6%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 713 to 618 computations (13.3% saved)

localize2.4s (14.1%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
10.1%
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
9.8%
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
6.6%
(acos.f64 (-.f64 1 x))
98.4%
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
98.4%
(cbrt.f64 (*.f64 (PI.f64) 1/2))
97.9%
(asin.f64 (-.f64 1 x))
13.4%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
99.8%
(sqrt.f64 (acos.f64 (-.f64 1 x)))
99.2%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
6.6%
(acos.f64 (-.f64 1 x))
97.9%
(asin.f64 (-.f64 1 x))
10.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
98.6%
(sqrt.f64 (asin.f64 (-.f64 1 x)))
97.9%
(asin.f64 (-.f64 1 x))
6.6%
(acos.f64 (-.f64 1 x))
3.2%
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))
Compiler

Compiled 215 to 170 computations (20.9% saved)

series162.0ms (1%)

Counts
14 → 104
Calls

36 calls:

TimeVariablePointExpression
32.0ms
x
@0
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
29.0ms
x
@0
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
23.0ms
x
@inf
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
22.0ms
x
@inf
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
17.0ms
x
@-inf
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))

rewrite243.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1082×log1p-expm1-u
310×expm1-log1p-u
276×associate-*r*
185×add0
182×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031340
1503245
26115245
Stop Event
node limit
Counts
14 → 703
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(sqrt.f64 (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(cbrt.f64 (*.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 0)
(+.f64 0 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (-.f64 0 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 0))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) 0) (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 0))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
(+.f64 (asin.f64 (-.f64 1 x)) 0)
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 0))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 0 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -1 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (asin.f64 (-.f64 1 x)) 0)
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 0 (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(-.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(-.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (asin.f64 (-.f64 1 x)) -1)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (asin.f64 (-.f64 1 x)) 0))))
(/.f64 (-.f64 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)))) (*.f64 2 (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)))) (*.f64 2 (-.f64 (+.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 0) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(neg.f64 (asin.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1 (asin.f64 (-.f64 1 x)) 0)
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) 0)
(fma.f64 -1 (asin.f64 (-.f64 1 x)) 0)
(+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 0)
(+.f64 0 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 0)
(-.f64 0 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) -1)
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)))
(*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
(*.f64 (*.f64 -1 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
(/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (+.f64 (asin.f64 (-.f64 1 x)) (-.f64 0 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 0))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2)
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))
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(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(fma.f64 1 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))

simplify123.0ms (0.7%)

Algorithm
egg-herbie
Rules
1162×fma-define
874×associate-*r*
713×add0
654×associate-/r*
576×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728807
12142807
Stop Event
node limit
Counts
807 → 400
Calls
Call 1
Inputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
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(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
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(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
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(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
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(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
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(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
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(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
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(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
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(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
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(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)))
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(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 0)
(+.f64 0 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (-.f64 0 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 0))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) 0) (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 0))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
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(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
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(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
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(-.f64 (/.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 3 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (-.f64 (+.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (/.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))) (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 1 (/.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (+.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (-.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))) (neg.f64 (-.f64 (+.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (neg.f64 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (neg.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(fma.f64 1 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
0
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
0
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
0
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
0
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
0
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
0
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
0
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
0
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
0
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
0
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
0
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
0
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
0
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
0
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
0
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
0
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
0
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
0
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
0
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
0
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
0
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
0
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
0
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
0
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)))
0
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)))
0
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)))
0
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)))
0
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)))
0
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(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
0
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
0
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
0
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
0
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
0
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
0
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
0
(acos.f64 (-.f64 1 x))
0
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
0
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
0
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
0
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
0
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
0
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
0
(fma.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
0
(fma.f64 1 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
0
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
0
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
0
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
0
(fma.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
0
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
0
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
0
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
0
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
0
(fma.f64 (sqrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
0
(fma.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
0
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
0

eval1.0s (6.1%)

Compiler

Compiled 38712 to 33077 computations (14.6% saved)

prune212.0ms (1.3%)

Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1527191546
Fresh6612
Picked145
Done011
Total1534301564
Accuracy
10.8%
Counts
1564 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.5%
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.6%
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.5%
(fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (-.f64 0 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0)))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.6%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
6.6%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
10.5%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.5%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
3.0%
(-.f64 (*.f64 (PI.f64) 1/2) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
6.6%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
6.6%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
10.5%
(+.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
7.1%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
6.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
6.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
6.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
6.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
10.5%
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.5%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
10.5%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
6.6%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
6.6%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.6%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
6.6%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
6.6%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1033 to 908 computations (12.1% saved)

localize1.0s (6.2%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
98.4%
(cbrt.f64 (*.f64 (PI.f64) 1/2))
97.9%
(asin.f64 (-.f64 1 x))
97.5%
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)
13.4%
(fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (-.f64 0 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0)))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
99.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
99.4%
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
10.1%
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
6.6%
(acos.f64 (-.f64 1 x))
98.5%
(cbrt.f64 (asin.f64 (-.f64 1 x)))
98.5%
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
97.9%
(asin.f64 (-.f64 1 x))
10.1%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
99.9%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
97.9%
(asin.f64 (-.f64 1 x))
98.4%
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2)
98.4%
(cbrt.f64 (*.f64 (PI.f64) 1/2))
97.9%
(asin.f64 (-.f64 1 x))
15.2%
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Compiler

Compiled 315 to 255 computations (19% saved)

series25.0ms (0.2%)

Counts
10 → 88
Calls

24 calls:

TimeVariablePointExpression
3.0ms
x
@0
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
3.0ms
x
@-inf
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
3.0ms
x
@0
(fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (-.f64 0 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0)))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
3.0ms
x
@inf
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
2.0ms
x
@0
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))

rewrite135.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
374×associate-*r*
257×log1p-expm1-u
257×expm1-log1p-u
252×unpow-prod-down
249×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044230
1752160
Stop Event
node limit
Counts
10 → 630
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (-.f64 0 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0)))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (asin.f64 (-.f64 1 x)) (+.f64 0 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1) (*.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1) (*.f64 (*.f64 (PI.f64) 1/2) 1))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (*.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (asin.f64 (-.f64 1 x)) 1))
(+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1) 0)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)) (+.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 -1/3 (acos.f64 (-.f64 1 x))))) (/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) (+.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 -1/3 (acos.f64 (-.f64 1 x))))))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/27)) (/.f64 1 (+.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)) (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) (*.f64 2 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))))))
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(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(*.f64 (-.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)) (/.f64 1 (+.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 -1/3 (acos.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)) (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) (*.f64 2 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)))) (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/27))))
(/.f64 1 (/.f64 (+.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 -1/3 (acos.f64 (-.f64 1 x)))) (-.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/27)) (+.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)) (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) (*.f64 2 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)) (+.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 -1/3 (acos.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/27))) (neg.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)) (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) (*.f64 2 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9))))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 -1/3 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/27) (pow.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)) (+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) (-.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) (*.f64 4 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 0)
(+.f64 0 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(+.f64 0 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 1))
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 1) 0)
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 0)
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (/.f64 0 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))) 1)
(*.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/2))
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 1/4) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))
(*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))
(*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) (pow.f64 (cbrt.f64 1/2) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 4))
(*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 4) (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 4))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) 1) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 1/4))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2))
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8) (*.f64 (pow.f64 (PI.f64) 4) 1/16)))
(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)))
(/.f64 (pow.f64 (PI.f64) 2) (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (pow.f64 (PI.f64) 4) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4)))
(/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(/.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8))
(/.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))))
(/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))))
(/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) 1) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4)))
(/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(/.f64 (+.f64 0 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (+.f64 0 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8) (*.f64 0 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) 0) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8))
(/.f64 (-.f64 0 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4)))
(/.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(exp.f64 (*.f64 4 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 1))
(fma.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 0)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) 0)

simplify227.0ms (1.4%)

Algorithm
egg-herbie
Rules
1158×fma-define
1138×times-frac
898×associate-*r*
858×associate-*l*
816×add0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07368589967349
1237227796
Stop Event
node limit
Counts
718 → 462
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/27))) (neg.f64 (+.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)) (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) (*.f64 2 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9))))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9))) (neg.f64 (+.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 -1/3 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/27) (pow.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)) (+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) (-.f64 (*.f64 4 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9)) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) (*.f64 4 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 0)
(+.f64 0 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(+.f64 0 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 1))
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 1) 0)
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 0)
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (/.f64 0 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))) 1)
(*.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/2))
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 1/4) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))
(*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))
(*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) (pow.f64 (cbrt.f64 1/2) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 4))
(*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 4) (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 4))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) 1) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 1/4))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2))
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8) (*.f64 (pow.f64 (PI.f64) 4) 1/16)))
(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)))
(/.f64 (pow.f64 (PI.f64) 2) (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (pow.f64 (PI.f64) 4) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4)))
(/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(/.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8))
(/.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))))
(/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))))
(/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) 1) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4)))
(/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(/.f64 (+.f64 0 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (+.f64 0 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8) (*.f64 0 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) 0) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8))
(/.f64 (-.f64 0 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4)))
(/.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(exp.f64 (*.f64 4 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 1))
(fma.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 0)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) 0)
Outputs
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (PI.f64))) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
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(/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) 1) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8))
(/.f64 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8) 16))
(/.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) 1) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8))
(/.f64 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8) 16))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)
(exp.f64 (*.f64 4 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)
(exp.f64 (*.f64 (*.f64 4 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 1))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)
(fma.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) 0)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) 0)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 8)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) 0)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8)))

eval931.0ms (5.6%)

Compiler

Compiled 45754 to 38906 computations (15% saved)

prune205.0ms (1.2%)

Pruning

42 alts after pruning (35 fresh and 7 done)

PrunedKeptTotal
New1724221746
Fresh71320
Picked325
Done055
Total1734421776
Accuracy
10.9%
Counts
1776 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.5%
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
10.5%
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
10.6%
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 4/3) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.4%
(fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 4) (-.f64 0 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0)))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.4%
(fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (-.f64 0 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0)))) (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
10.5%
(fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (-.f64 0 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0)))) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8))) (-.f64 0 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0)))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.5%
(fma.f64 (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) 1) (/.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.5%
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.5%
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 3) (*.f64 (pow.f64 (PI.f64) 4) 1/16))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.6%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
6.6%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
10.5%
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (PI.f64))) (asin.f64 (-.f64 1 x)))
10.5%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
4.8%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1) 3))
4.8%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 3))
10.5%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.5%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 3))
10.5%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
4.8%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3)))
10.5%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
10.5%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) 4)))
6.6%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
6.6%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
7.1%
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
6.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
6.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
10.5%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))))
10.5%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))
6.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))))
10.5%
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.5%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
10.5%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
6.6%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
6.6%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.6%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
6.6%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
6.6%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1585 to 1401 computations (11.6% saved)

localize2.9s (17.6%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.4%
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
10.1%
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
9.8%
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
6.6%
(acos.f64 (-.f64 1 x))
98.4%
(*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))
98.4%
(cbrt.f64 (*.f64 (PI.f64) 1/2))
97.9%
(asin.f64 (-.f64 1 x))
13.4%
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
98.5%
(cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
98.5%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 3)
10.1%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 3))
6.6%
(acos.f64 (-.f64 1 x))
100.0%
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
6.6%
(acos.f64 (-.f64 1 x))
97.9%
(asin.f64 (-.f64 1 x))
10.2%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.6%
(acos.f64 (-.f64 1 x))
3.2%
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))
Compiler

Compiled 319 to 254 computations (20.4% saved)

series18.0ms (0.1%)

Counts
8 → 76
Calls

21 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 3))
3.0ms
x
@inf
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 3))
3.0ms
x
@0
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 3))
1.0ms
x
@0
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
1.0ms
x
@inf
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))

rewrite204.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
480×log1p-expm1-u
390×associate-*r*
244×associate-*l*
221×add0
217×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034247
1531207
27505207
Stop Event
node limit
Counts
8 → 354
Calls
Call 1
Inputs
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 3))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 3)
(cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
Outputs
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(+.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
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(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))) 1))
(+.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 0)
(+.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) 0))
(+.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (*.f64 (*.f64 (PI.f64) 1/2) 0))
(+.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (*.f64 0 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (*.f64 0 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))
(+.f64 0 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))))) 1)
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 3) (+.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -8) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 0 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 0))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -8) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0) (-.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 0))
(pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -8) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 3))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))) 1))
(fma.f64 1 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 0)
(fma.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)) 0)
(fma.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (PI.f64) 1/2) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -8) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))) 0)
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) 0)
(+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 0)
(+.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
(*.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 1)
(*.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 1/3 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3) (+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) (-.f64 0 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 0))))
(/.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) 0) (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 0))
(pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9))
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 1))
(fma.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 0)
(fma.f64 (acos.f64 (-.f64 1 x)) 1/3 0)
(fma.f64 1/3 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 0)
(fma.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 0)

simplify230.0ms (1.4%)

Algorithm
egg-herbie
Rules
910×fma-define
876×log-prod
680×+-commutative
651×add0
624×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063115744
1194215238
2763915238
Stop Event
node limit
Counts
430 → 410
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(*.f64 1/3 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 1/3 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 1/3 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 1/3 (acos.f64 (+.f64 1 (*.f64 -1 x))))
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(/.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x))) 2) (-.f64 0 (*.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x))) 0))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x))) 2) 0) (-.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x))) 0))
(/.f64 (-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x))))
(pow.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))) 1))
(+.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 0)
(+.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) 0))
(+.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (*.f64 (*.f64 (PI.f64) 1/2) 0))
(+.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (*.f64 0 (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (*.f64 0 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))
(+.f64 0 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))))) 1)
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 3) (+.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -8) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 0 (*.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 0))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -8) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0) (-.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 0))
(pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -8) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 3))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))) 1))
(fma.f64 1 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) 0)
(fma.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)) 0)
(fma.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4) (*.f64 (PI.f64) 1/2) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -8) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4)))) 0)
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) 0)
(+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 0)
(+.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 1)
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2))) (log.f64 (-.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
(*.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 1)
(*.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 1/3 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3) (+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) (-.f64 0 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 0))))
(/.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) 0) (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 0))
(pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9))
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 1))
(fma.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 0)
(fma.f64 (acos.f64 (-.f64 1 x)) 1/3 0)
(fma.f64 1/3 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 0)
(fma.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 0)
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(*.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
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(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 1)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (*.f64 1/3 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(/.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3) (+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) (-.f64 0 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 0))))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/27) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9))
(*.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1/3)
(/.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) 0) (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 0))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9) (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(*.f64 1/3 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 1)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 3)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3) 1/3)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/9))
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(exp.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 1))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(fma.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 0)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(fma.f64 (acos.f64 (-.f64 1 x)) 1/3 0)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(fma.f64 1/3 (acos.f64 (-.f64 1 x)) 0)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 0)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(fma.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 0)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)

eval1.3s (8%)

Compiler

Compiled 67956 to 57611 computations (15.2% saved)

prune300.0ms (1.8%)

Pruning

45 alts after pruning (34 fresh and 11 done)

PrunedKeptTotal
New242092429
Fresh52530
Picked145
Done077
Total2426452471
Accuracy
10.9%
Counts
2471 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.5%
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
10.5%
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
10.6%
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 4/3) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8))) (-.f64 0 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0)))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2) -4))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.4%
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) -4))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.4%
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
10.5%
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
4.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.5%
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 3) (*.f64 (pow.f64 (PI.f64) 4) 1/16))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
7.1%
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
6.6%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
6.6%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
10.5%
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (PI.f64))) (asin.f64 (-.f64 1 x)))
10.5%
(-.f64 (*.f64 (PI.f64) 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 (-.f64 1 x)))))
10.5%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
4.8%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1) 3))
4.8%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 3))
10.5%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.5%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 3))
10.5%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
4.8%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3)))
10.5%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
10.5%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) 4)))
6.6%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
6.6%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
7.1%
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
6.6%
(+.f64 (*.f64 (*.f64 2 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))))
6.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
10.5%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))))
10.5%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))
6.6%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))))
10.6%
(+.f64 (log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.5%
(+.f64 (log.f64 (exp.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.5%
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.5%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
10.5%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
6.6%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
6.6%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.6%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
6.6%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
6.6%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2474 to 2114 computations (14.6% saved)

regimes49.0ms (0.3%)

Counts
68 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1) 3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 4/3) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 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 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) 1) (/.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3)))
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) -4))) (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2) -4))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 3))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 3) (*.f64 (pow.f64 (PI.f64) 4) 1/16))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) -4))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (*.f64 2 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) 4)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (-.f64 0 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0)))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (-.f64 0 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0)))) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) (neg.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4) (-.f64 0 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0)))) (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 8))) (-.f64 0 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0)))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 4) (-.f64 0 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 0)))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))))
(+.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (exp.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
Outputs
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Calls

3 calls:

30.0ms
x
11.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.6%1x
10.6%1(acos.f64 (-.f64 1 x))
10.6%1(-.f64 1 x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes20.0ms (0.1%)

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

3 calls:

12.0ms
x
3.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.5%1(-.f64 1 x)
10.5%1(acos.f64 (-.f64 1 x))
10.5%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
Calls

3 calls:

7.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.5%1(acos.f64 (-.f64 1 x))
10.5%1(-.f64 1 x)
10.5%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes20.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
Calls

3 calls:

12.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.4%2(-.f64 1 x)
9.4%2x
9.4%2(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes18.0ms (0.1%)

Counts
10 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
Outputs
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
Calls

3 calls:

11.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.4%2x
9.4%2(acos.f64 (-.f64 1 x))
9.4%2(-.f64 1 x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes18.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
Outputs
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
Calls

3 calls:

10.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.4%2x
9.4%2(acos.f64 (-.f64 1 x))
9.4%2(-.f64 1 x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes16.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
Calls

3 calls:

9.0ms
x
3.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.4%2x
9.4%2(acos.f64 (-.f64 1 x))
9.4%2(-.f64 1 x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

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

3 calls:

6.0ms
x
3.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.4%2x
9.4%2(acos.f64 (-.f64 1 x))
9.4%2(-.f64 1 x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
Outputs
(acos.f64 (-.f64 1 x))
Calls

3 calls:

2.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
6.6%1x
6.6%1(acos.f64 (-.f64 1 x))
6.6%1(-.f64 1 x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.9999999999999999
1.0
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.9999999999999999
1.0
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.9999999999999999
1.0
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.9999999999999999
1.0
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.9999999999999999
1.0
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify26.0ms (0.2%)

Algorithm
egg-herbie
Rules
178×unsub-neg
106×cancel-sign-sub-inv
66×+-commutative
62×distribute-lft-neg-in
54×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0484294967721
1984294967721
21554294967721
31804294967721
41894294967721
52264294967721
62664294967721
72734294967721
83004294967721
93784294967721
104724294967721
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (acos.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
Outputs
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (exp.f64 (*.f64 1/3 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (acos.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
Compiler

Compiled 151 to 129 computations (14.6% saved)

soundness2.0s (12%)

Rules
1418×fma-neg
1158×fma-define
1138×times-frac
1082×log1p-expm1-u
1082×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
19014
2113314
031340
1503245
26115245
044230
1752160
07368589967349
1237227796
0914
19014
2113314
01651592
15041525
216061513
353831513
0914
19014
2113314
0914
19014
2113314
031340
1503245
26115245
031340
1503245
26115245
031340
1503245
26115245
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 760 to 616 computations (18.9% saved)

end0.0ms (0%)

preprocess113.0ms (0.7%)

Compiler

Compiled 312 to 250 computations (19.9% saved)

Profiling

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