bug323 (missed optimization)

Time bar (total: 20.3s)

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)

sample1.9s (9.4%)

Results
1.3s4194×1024valid
349.0ms2016×512valid
194.0ms1795×256valid
110.0ms251×2048valid
Bogosity

preprocess226.0ms (1.1%)

Algorithm
egg-herbie
Rules
68×fma-def
28×sub-neg
18×distribute-lft-neg-in
18×associate--r+
18×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(acos.f64 (-.f64 1 x))
00-0-x
00-0-(-.f64 1 x)
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01368
12660
24060
37060
411160
515460
618060
718960
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
6.4%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize58.0ms (0.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
6.4%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(acos.f64 (-.f64 1 x))
0.0ms
x
@0
(acos.f64 (-.f64 1 x))
0.0ms
x
@inf
(acos.f64 (-.f64 1 x))

rewrite178.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
460×unpow-prod-down
391×log1p-expm1-u
391×expm1-log1p-u
368×add-exp-log
356×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
18714
2101814
Stop Event
node limit
Counts
1 → 52
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
Outputs
(+.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 (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 (neg.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 (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 (cbrt.f64 (pow.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 (*.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 (-.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 (*.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))))
(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))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.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))))

simplify157.0ms (0.8%)

Algorithm
egg-herbie
Rules
1136×fma-def
932×associate-*r*
810×associate-*l*
806×log-prod
792×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01561676
13461589
29821498
350691498
Stop Event
node limit
Counts
56 → 62
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)) (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 (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 (neg.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 (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 (cbrt.f64 (pow.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 (*.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 (-.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 (*.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))))
(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))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.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)) (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 (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 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 0) (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (cbrt.f64 (pow.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 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 0) (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.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 (cbrt.f64 (pow.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))))))
(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 (-.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 (*.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 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(/.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)) (fma.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)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(/.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))
(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))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(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 (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 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 0) (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.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)))

eval23.0ms (0.1%)

Compiler

Compiled 1024 to 861 computations (15.9% saved)

prune24.0ms (0.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New521062
Fresh000
Picked011
Done000
Total521163
Accuracy
9.9%
Counts
63 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.5%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.4%
(/.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
6.4%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.4%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
9.8%
(+.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))))
9.8%
(+.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))))
6.4%
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.4%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
9.9%
(+.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))))
6.4%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.4%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 457 to 394 computations (13.8% saved)

localize3.8s (18.9%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.5%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
9.3%
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
9.1%
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
6.4%
(acos.f64 (-.f64 1 x))
98.5%
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
98.4%
(pow.f64 (PI.f64) 3)
98.1%
(asin.f64 (-.f64 1 x))
10.0%
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
9.6%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.4%
(acos.f64 (-.f64 1 x))
98.1%
(asin.f64 (-.f64 1 x))
9.4%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
98.6%
(sqrt.f64 (asin.f64 (-.f64 1 x)))
98.1%
(asin.f64 (-.f64 1 x))
6.4%
(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 290 to 229 computations (21% saved)

series138.0ms (0.7%)

Counts
13 → 104
Calls

36 calls:

TimeVariablePointExpression
36.0ms
x
@0
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
27.0ms
x
@0
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
21.0ms
x
@inf
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
16.0ms
x
@-inf
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
15.0ms
x
@inf
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))

rewrite210.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
720×log1p-expm1-u
614×expm1-udef
612×log1p-udef
322×associate-*r*
209×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033331
1484246
26187246
Stop Event
node limit
Counts
13 → 473
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))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(asin.f64 (-.f64 1 x))
(pow.f64 (PI.f64) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.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 (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 (+.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 (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)))))
(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))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (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 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (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 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.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 1 (asin.f64 (-.f64 1 x)))
(*.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 (*.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 (*.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 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 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)))))
(log.f64 (/.f64 1 (exp.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))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(-.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 (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 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (+.f64 0 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 0 (sqrt.f64 (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)) 1/4) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) 1/3)
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(fabs.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.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 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.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 (-.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 (fma.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 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(*.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 (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 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.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 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))) (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))) (fma.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 (fma.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 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3)) (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3)) (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))) (neg.f64 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.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 (fma.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 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(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))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.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)))
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(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.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 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))) (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))) (fma.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 (fma.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 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3)) (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3)) (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))) (neg.f64 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.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 (fma.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 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(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))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.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 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.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 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 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)))

simplify91.0ms (0.4%)

Algorithm
egg-herbie
Rules
924×associate-*r*
812×associate-*l*
764×fma-def
352×times-frac
312×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05811738
112481738
Stop Event
node limit
Counts
577 → 307
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)))
(-.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))))
(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)))
(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 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
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(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(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))
(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))
(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))
(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))
(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))
(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))
(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))
(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))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 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 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)))
(+.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)))
(+.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 (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))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))) (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))) (fma.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 (fma.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 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(/.f64 (fma.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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3)) (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3)) (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))) (neg.f64 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.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 (fma.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 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(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))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.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 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.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 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 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
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
0
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
0
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
0
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
0
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
0
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
0
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
0
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
0
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
0
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
0
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
0
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
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
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
0
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
0
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
0
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 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 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
(+.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 (*.f64 -1 x)))) 1/3)) (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 (*.f64 -1 x)))) 1/3)) (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 (*.f64 -1 x)))) 1/3)) (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 (*.f64 -1 x)))) 1/3)) (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)))
0
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
0
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
0
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
0
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
0
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
0
(*.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))
0
(*.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)))))
0
(*.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)))))
0
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(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
0
(+.f64 0 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
0
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 4)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)))
0
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))) 1)
0
(*.f64 1 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
0
(*.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 1)
0
(*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))
0
(*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
0
(*.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
0
(pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 1)
0
(pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) 3)
0
(pow.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3) 1/3)
0
(pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) 2)
0
(sqrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2))
0
(cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3))
0
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
0
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
0
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) 1))
0
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
0
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
0
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
0
(-.f64 (/.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (-.f64 (*.f64 1/3 (*.f64 (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 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
0
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
0
(-.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))))
0
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
0
(*.f64 1 (acos.f64 (-.f64 1 x)))
0
(*.f64 (acos.f64 (-.f64 1 x)) 1)
0
(*.f64 (fma.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 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
0
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
0
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
0
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
0
(*.f64 (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))))
0
(*.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
0
(*.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)))))
0
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))) (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3))))
0
(/.f64 1 (/.f64 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))))
0
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
0
(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
0
(/.f64 (fma.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 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
0
(/.f64 (fma.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)))))
0
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
0
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3)) (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))))
0
(/.f64 (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3)) (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))))
0
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
0
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))))
0
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))) (neg.f64 (-.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
0
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
0
(/.f64 (neg.f64 (fma.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 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
0
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (-.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
0
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
0
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
0
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
0
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
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
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
0
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
0
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
0
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
0
(fma.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
0
(fma.f64 1 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)) (*.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 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
0
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 1/3 (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)) (asin.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 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2)))
0
(fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (*.f64 1/3 (*.f64 (acos.f64 (-.f64 1 x)) 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

eval735.0ms (3.6%)

Compiler

Compiled 36786 to 31087 computations (15.5% saved)

prune179.0ms (0.9%)

Pruning

32 alts after pruning (28 fresh and 4 done)

PrunedKeptTotal
New1292241316
Fresh145
Picked235
Done011
Total1295321327
Accuracy
10.1%
Counts
1327 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.5%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
9.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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))))))
6.4%
(/.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
6.4%
(/.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
4.5%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
9.9%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
9.9%
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64)))) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
6.4%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
9.9%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
9.8%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
6.4%
(-.f64 (*.f64 (PI.f64) 1/2) (/.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)))))
6.4%
(-.f64 (*.f64 (PI.f64) 1/2) (*.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))))))
6.4%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
4.6%
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
6.4%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
9.8%
(+.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))))
9.9%
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.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))))
9.8%
(+.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))))
9.8%
(+.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))))
9.8%
(+.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))))
6.8%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.3%
(+.f64 (log.f64 (cbrt.f64 (pow.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))))))))
9.9%
(+.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)))
4.5%
(+.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
9.8%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
9.8%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (asin.f64 (-.f64 1 x))))
6.4%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
9.8%
(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))))))
9.8%
(log.f64 (exp.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))))))
9.9%
(log.f64 (exp.f64 (+.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))))))
6.4%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.4%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1727 to 1487 computations (13.9% saved)

localize3.6s (17.6%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
98.4%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
98.4%
(cbrt.f64 (PI.f64))
98.1%
(asin.f64 (-.f64 1 x))
10.0%
(-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
98.1%
(asin.f64 (-.f64 1 x))
9.6%
(log.f64 (exp.f64 (+.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))))))
6.4%
(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)))
98.6%
(sqrt.f64 (asin.f64 (-.f64 1 x)))
98.5%
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
98.1%
(asin.f64 (-.f64 1 x))
9.4%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
100.0%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
98.1%
(asin.f64 (-.f64 1 x))
98.6%
(+.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)))))
98.5%
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
98.1%
(asin.f64 (-.f64 1 x))
10.0%
(-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
Compiler

Compiled 452 to 346 computations (23.5% saved)

series6.0ms (0%)

Counts
9 → 84
Calls

21 calls:

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

rewrite116.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
472×associate-*r*
293×log1p-expm1-u
293×expm1-log1p-u
276×pow1
274×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042257
1688193
Stop Event
node limit
Counts
9 → 428
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(log.f64 (exp.f64 (+.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 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(cbrt.f64 (PI.f64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
Outputs
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/8) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3/2) (*.f64 (pow.f64 (PI.f64) 3/2) 1/8) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 1) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))
(*.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(*.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (/.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9))) (neg.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2)
(sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(fma.f64 (pow.f64 (PI.f64) 3/2) (*.f64 (pow.f64 (PI.f64) 3/2) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (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 (exp.f64 (log1p.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (fma.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (/.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) 2) (fma.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 2)) (cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 2) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9))) (neg.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2)
(sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(fma.f64 (pow.f64 (PI.f64) 3/2) (*.f64 (pow.f64 (PI.f64) 3/2) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (PI.f64)))) 1)
(*.f64 1 (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)))))
(pow.f64 (PI.f64) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)))
(fabs.f64 (cbrt.f64 (PI.f64)))
(log.f64 (exp.f64 (cbrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (PI.f64)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(pow.f64 (PI.f64) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 2)
(pow.f64 (pow.f64 (PI.f64) 3) 1)
(pow.f64 (pow.f64 (PI.f64) 2) 3/2)
(pow.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/3)
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 6)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (PI.f64))) 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 2)) 3/2))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))

simplify246.0ms (1.2%)

Algorithm
egg-herbie
Rules
1322×div-sub
656×times-frac
560×fma-def
530×associate-*r*
486×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055825312
1138821346
2577121298
Stop Event
node limit
Counts
512 → 336
Calls
Call 1
Inputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(-.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))))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.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)))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x))))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/8) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3/2) (*.f64 (pow.f64 (PI.f64) 3/2) 1/8) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
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(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))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.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))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(fma.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (-.f64 (acos.f64 (-.f64 1 x)) (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)))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/8) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3/2) (*.f64 (pow.f64 (PI.f64) 3/2) 1/8) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 1) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))
(*.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(*.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (/.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9))) (neg.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2)
(sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(fma.f64 (pow.f64 (PI.f64) 3/2) (*.f64 (pow.f64 (PI.f64) 3/2) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (PI.f64)))) 1)
(*.f64 1 (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)))))
(pow.f64 (PI.f64) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)))
(fabs.f64 (cbrt.f64 (PI.f64)))
(log.f64 (exp.f64 (cbrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (PI.f64)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(pow.f64 (PI.f64) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 2)
(pow.f64 (pow.f64 (PI.f64) 3) 1)
(pow.f64 (pow.f64 (PI.f64) 2) 3/2)
(pow.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/3)
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 6)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (PI.f64))) 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 2)) 3/2))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
Outputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
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(cbrt.f64 (PI.f64))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/3))
(cbrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 1))
(cbrt.f64 (PI.f64))
(log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 2)
(pow.f64 (PI.f64) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1)
(pow.f64 (PI.f64) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 3/2)
(pow.f64 (PI.f64) 3)
(pow.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/3)
(pow.f64 (PI.f64) 3)
(sqrt.f64 (pow.f64 (PI.f64) 6))
(pow.f64 (PI.f64) 3)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 6)))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (PI.f64))) 2))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 2)) 3/2))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)

eval1.8s (8.6%)

Compiler

Compiled 92723 to 75588 computations (18.5% saved)

prune314.0ms (1.5%)

Pruning

44 alts after pruning (38 fresh and 6 done)

PrunedKeptTotal
New2726222748
Fresh71623
Picked325
Done044
Total2736442780
Accuracy
10.1%
Counts
2780 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.5%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
9.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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))))))
6.4%
(/.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
6.4%
(/.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
4.5%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) 2) 3) (PI.f64)) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
9.8%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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))))))
4.5%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (expm1.f64 (log1p.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))))))
4.5%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 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))))))
7.2%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
7.2%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
4.5%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
4.5%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))) (+.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))))))
9.9%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (/.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)))) 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))))))
8.0%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 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)))))
9.9%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
9.9%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
8.0%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3)))
6.4%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
4.5%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2) 2))
4.5%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2))
9.8%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2))
9.9%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
9.9%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) 2))
9.8%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
6.4%
(-.f64 (*.f64 (PI.f64) 1/2) (/.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)))))
6.4%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
4.6%
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
6.4%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.8%
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
9.8%
(+.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))))
9.9%
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.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))))
9.8%
(+.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))))
9.9%
(+.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)))
4.5%
(+.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
9.8%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
6.4%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
9.8%
(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))))))
9.8%
(log.f64 (exp.f64 (+.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))))))
9.8%
(log.f64 (exp.f64 (+.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))))))
9.8%
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))
4.5%
(log.f64 (exp.f64 (+.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))))
9.9%
(log.f64 (exp.f64 (+.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))))))
6.4%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.4%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2547 to 2178 computations (14.5% saved)

localize2.0s (10%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
98.4%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
98.4%
(cbrt.f64 (PI.f64))
98.1%
(asin.f64 (-.f64 1 x))
10.0%
(-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3))
98.4%
(pow.f64 (PI.f64) 3)
98.4%
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
98.1%
(asin.f64 (-.f64 1 x))
10.0%
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
99.9%
(/.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))))
99.3%
(pow.f64 (acos.f64 (-.f64 1 x)) 2)
9.4%
(-.f64 (*.f64 (PI.f64) 1/2) (/.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)))))
6.4%
(acos.f64 (-.f64 1 x))
100.0%
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
6.4%
(acos.f64 (-.f64 1 x))
98.5%
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
98.5%
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
98.1%
(asin.f64 (-.f64 1 x))
10.0%
(-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
Compiler

Compiled 578 to 450 computations (22.1% saved)

series16.0ms (0.1%)

Counts
6 → 56
Calls

18 calls:

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

rewrite94.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
372×associate-*r*
256×associate-*l*
252×log1p-expm1-u
252×expm1-log1p-u
242×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036315
1599124
Stop Event
node limit
Counts
6 → 290
Calls
Call 1
Inputs
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (/.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 (acos.f64 (-.f64 1 x)) 2)
(/.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3))
Outputs
(+.f64 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (PI.f64) (*.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 1))
(+.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 1 (acos.f64 (-.f64 1 x))))
(+.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (acos.f64 (-.f64 1 x))))
(+.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (PI.f64))
(+.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (PI.f64) (PI.f64) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))))
(*.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (PI.f64) (acos.f64 (-.f64 1 x))))) (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) (PI.f64) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (neg.f64 (+.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (PI.f64) 3) (pow.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (PI.f64) 2) (*.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x))))) (-.f64 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(fma.f64 1 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (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) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.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 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.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 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.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 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.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 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.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 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(fabs.f64 (acos.f64 (-.f64 1 x)))
(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))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.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))))
(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 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1)
(*.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2) (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (*.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) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (-.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (acos.f64 (-.f64 1 x))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 1 (acos.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (acos.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (neg.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (pow.f64 (acos.f64 (-.f64 1 x)) 6)) 1) (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (pow.f64 (acos.f64 (-.f64 1 x)) 4)) 1) (*.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (neg.f64 (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 3)) (+.f64 (*.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (+.f64 (*.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))))
(/.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 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (*.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (*.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (pow.f64 (acos.f64 (-.f64 1 x)) 6)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (pow.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.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))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1/3))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.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 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (PI.f64) 3) 1/8))
(*.f64 1 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
(*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (acos.f64 (-.f64 1 x)))
(*.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (-.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9))) (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)) (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (-.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))

simplify212.0ms (1%)

Algorithm
egg-herbie
Rules
980×associate-*r*
856×associate-*l*
778×fma-def
768×exp-prod
594×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057817880
1154116762
2717116762
Stop Event
node limit
Counts
346 → 322
Calls
Call 1
Inputs
(-.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 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
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(pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
Outputs
(-.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 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (fma.f64 1/2 (PI.f64) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 -1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (fma.f64 1/2 (PI.f64) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 -1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (fma.f64 1/2 (PI.f64) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 -1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (fma.f64 1/2 (PI.f64) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 -1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (fma.f64 1/2 (PI.f64) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 -1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (fma.f64 1/2 (PI.f64) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 -1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (fma.f64 1/2 (PI.f64) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 -1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (fma.f64 1/2 (PI.f64) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 -1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))))
(+.f64 (fma.f64 1/2 (PI.f64) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 -1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))))
(+.f64 (fma.f64 1/2 (PI.f64) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 -1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))))
(+.f64 (fma.f64 1/2 (PI.f64) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 -1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (*.f64 1/2 (PI.f64)) (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))))
(+.f64 (fma.f64 1/2 (PI.f64) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 -1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (acos.f64 (-.f64 1 x)) 2)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (acos.f64 (-.f64 1 x)) 2)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (acos.f64 (-.f64 1 x)) 2)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (acos.f64 (-.f64 1 x)) 2)
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
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(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
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(fma.f64 1/8 (pow.f64 (PI.f64) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
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eval1.5s (7.4%)

Compiler

Compiled 79453 to 65141 computations (18% saved)

prune341.0ms (1.7%)

Pruning

47 alts after pruning (38 fresh and 9 done)

PrunedKeptTotal
New2001182019
Fresh132033
Picked145
Done156
Total2016472063
Accuracy
10.1%
Counts
2063 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.5%
(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))))
4.5%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.8%
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
9.9%
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/8) (neg.f64 (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))))))
9.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
9.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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))))))
6.4%
(/.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
6.4%
(/.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
4.5%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) 2) 3) (PI.f64)) 1/8) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 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))))))
4.5%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) 2) 3) (PI.f64)) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
9.8%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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))))))
9.9%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)) 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))))))
7.2%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
7.2%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
4.5%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 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))))))
8.0%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 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)))))
9.9%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
9.9%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
9.9%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
8.0%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3)))
6.4%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
9.8%
(-.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)))))
9.8%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
4.5%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2) 2))
4.5%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2))
9.8%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3/2))
9.8%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2))
9.9%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
9.9%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) 2))
9.8%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
9.8%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
4.5%
(-.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)))
9.9%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))))
9.9%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
4.5%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))))
6.4%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
4.6%
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
6.4%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.8%
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
9.9%
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.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))))
6.4%
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
9.9%
(+.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)))
6.4%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
9.8%
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))
4.5%
(log.f64 (exp.f64 (+.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))))
6.4%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.4%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 3445 to 2870 computations (16.7% saved)

regimes52.0ms (0.3%)

Counts
75 → 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)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.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 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3/2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2) 2))
(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) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (/.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)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2))
(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) (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 (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)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.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 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (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) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(/.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 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 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.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)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64)))) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/8) (neg.f64 (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 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (+.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))) (cbrt.f64 (pow.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))) (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))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(/.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))) (+.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))))))
(log.f64 (exp.f64 (+.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.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 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (expm1.f64 (log1p.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 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 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 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (/.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)))) 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 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) 2) 3) (PI.f64)) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)) 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 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) 2) 3) (PI.f64)) 1/8) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 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 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (cbrt.f64 (pow.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))))
(log.f64 (exp.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))))))
(+.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))))
(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))))))
(+.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))))
(log.f64 (exp.f64 (+.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 (+.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))))
(log.f64 (exp.f64 (+.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
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Calls

3 calls:

33.0ms
x
7.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.9%1x
9.9%1(acos.f64 (-.f64 1 x))
9.9%1(-.f64 1 x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes42.0ms (0.2%)

Counts
59 → 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)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.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 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3/2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2) 2))
(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) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (/.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)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2))
(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) (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 (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)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.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 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (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) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(/.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 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 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.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)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64)))) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/8) (neg.f64 (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 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (+.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))) (cbrt.f64 (pow.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))) (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))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(/.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))) (+.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))))))
(log.f64 (exp.f64 (+.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.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 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (expm1.f64 (log1p.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 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 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 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (/.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)))) 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))))))
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Calls

3 calls:

27.0ms
x
6.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.9%1x
9.9%1(-.f64 1 x)
9.9%1(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes34.0ms (0.2%)

Counts
47 → 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)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.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 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3/2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2) 2))
(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) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (/.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)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2))
(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) (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 (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)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.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 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (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) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(/.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 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 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.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)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3 (log.f64 (PI.f64)))) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/8) (neg.f64 (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 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (+.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))) (cbrt.f64 (pow.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))) (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))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(/.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3)))
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
Calls

3 calls:

21.0ms
x
5.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.9%1x
9.9%1(acos.f64 (-.f64 1 x))
9.9%1(-.f64 1 x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes23.0ms (0.1%)

Counts
30 → 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)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.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 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3/2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2) 2))
(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) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (/.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)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2))
(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) (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 (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)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.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 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (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) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(/.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 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)))))
Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
Calls

3 calls:

14.0ms
x
4.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.9%1x
9.9%1(-.f64 1 x)
9.9%1(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

Counts
11 → 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)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.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
9.8%1x
9.8%1(acos.f64 (-.f64 1 x))
9.8%1(-.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)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
Outputs
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
Calls

3 calls:

11.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
8.9%2(acos.f64 (-.f64 1 x))
8.9%2(-.f64 1 x)
8.9%2x
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)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
Outputs
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(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
8.9%2x
8.9%2(acos.f64 (-.f64 1 x))
8.9%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
6.4%1(-.f64 1 x)
6.4%1x
6.4%1(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch10.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
2.0175830797672057e-17
2.1040694434312268e-16
Results
9.0ms96×256valid
Compiler

Compiled 135 to 121 computations (10.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.1073424255447017e-8
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
32×+-commutative
24×sub-neg
24×*-commutative
12×neg-mul-1
12×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059620
186620
2105620
3117620
4123620
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(-.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 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(-.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 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
Compiler

Compiled 187 to 159 computations (15% saved)

soundness2.0s (9.7%)

Rules
1322×div-sub
1136×fma-def
1136×fma-def
932×associate-*r*
932×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
18714
2101814
01561676
13461589
29821498
350691498
033331
1484246
26187246
033331
1484246
26187246
033331
1484246
26187246
0914
18714
2101814
01561676
13461589
29821498
350691498
033331
1484246
26187246
042257
1688193
055825312
1138821346
2577121298
033331
1484246
26187246
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 1340 to 1090 computations (18.7% saved)

end0.0ms (0%)

preprocess125.0ms (0.6%)

Compiler

Compiled 386 to 314 computations (18.7% saved)

Profiling

Loading profile data...