bug323 (missed optimization)

Time bar (total: 16.3s)

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)

sample2.1s (12.8%)

Results
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0.0ms256valid
0.0ms512valid
0.0ms1024valid
Bogosity

preprocess150.0ms (0.9%)

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
2531(0.00414680943390723)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
7.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize54.0ms (0.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
7.8%
(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))

rewrite237.0ms (1.5%)

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))))

simplify63.0ms (0.4%)

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)))

eval26.0ms (0.2%)

Compiler

Compiled 1024 to 861 computations (15.9% saved)

prune25.0ms (0.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New481462
Fresh000
Picked011
Done000
Total481563
Accuracy
11.7%
Counts
63 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
7.8%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
7.8%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
7.8%
(/.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))))
7.8%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.1%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
11.6%
(+.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))))
11.6%
(+.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))))
7.8%
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.8%
(+.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))))))
11.6%
(+.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))))
7.8%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
7.8%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 521 to 452 computations (13.2% saved)

localize2.9s (17.5%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.9%
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
11.3%
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
7.8%
(acos.f64 (-.f64 1 x))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 1/2))
97.7%
(asin.f64 (-.f64 1 x))
14.1%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
100.0%
(log.f64 (acos.f64 (-.f64 1 x)))
92.0%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
7.8%
(acos.f64 (-.f64 1 x))
100.0%
(+.f64 1 (acos.f64 (-.f64 1 x)))
11.5%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.8%
(acos.f64 (-.f64 1 x))
98.7%
(sqrt.f64 (asin.f64 (-.f64 1 x)))
97.7%
(asin.f64 (-.f64 1 x))
7.8%
(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 187 to 146 computations (21.9% saved)

series138.0ms (0.8%)

Counts
12 → 76
Calls

33 calls:

TimeVariablePointExpression
43.0ms
x
@0
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
23.0ms
x
@inf
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
14.0ms
x
@0
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
14.0ms
x
@-inf
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
13.0ms
x
@0
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))

rewrite191.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1050×log1p-expm1-u
560×expm1-udef
558×log1p-udef
268×associate-*r*
195×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028283
1444214
25516214
Stop Event
node limit
Counts
12 → 453
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 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 1 (acos.f64 (-.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (acos.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))))
(asin.f64 (-.f64 1 x))
(sqrt.f64 (*.f64 (PI.f64) 1/2))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.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 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) (acos.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 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.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)))))
(*.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)))))
(/.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 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (acos.f64 (-.f64 1 x)) (acos.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 0 (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.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 (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))) (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(neg.f64 (asin.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(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 (pow.f64 1 1/2) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.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 (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)) 3/2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2)
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(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 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.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 (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 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
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(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
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(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
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(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1))
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(exp.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))

simplify79.0ms (0.5%)

Algorithm
egg-herbie
Rules
582×associate-*r*
548×fma-def
448×associate-*l*
340×distribute-lft-in
320×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0584561
11219561
27037561
Stop Event
unsound
Counts
529 → 313
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))))
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(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.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))))
(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))))
(log1p.f64 (expm1.f64 (acos.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 0 (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.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 (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))) (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(neg.f64 (asin.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(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 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 (PI.f64) 1/2) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(pow.f64 (*.f64 (PI.f64) 1/2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 0 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (E.f64) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/2)
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(fabs.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (acos.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
(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 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
0
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
0
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
0
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
0
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
0
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
0
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
0
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
0
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
0
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
0
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
0
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
0
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
0
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(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
0
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
0
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
0
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
0
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
0
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
0
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
0
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
0
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)))
0
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
0
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
0
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
0
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
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0
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0
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
0
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0
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0
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
0
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0
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
0
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
0
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
0
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
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 (exp.f64 2) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
0
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
0
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
0
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
0
(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)))))
0
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
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
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
0
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
0
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -1 (acos.f64 (-.f64 1 x))))
0
(+.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)))))
0
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
0
(+.f64 0 (asin.f64 (-.f64 1 x)))
0
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
0
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
0
(-.f64 0 (asin.f64 (-.f64 1 x)))
0
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
0
(*.f64 1 (asin.f64 (-.f64 1 x)))
0
(*.f64 (asin.f64 (-.f64 1 x)) 1)
0
(*.f64 (asin.f64 (-.f64 1 x)) -1)
0
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
0
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
0
(*.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)))))
0
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
0
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
0
(*.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)))))
0
(*.f64 -1 (asin.f64 (-.f64 1 x)))
0
(*.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))
0
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
0
(*.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)))))
0
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
0
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x))))))
0
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
0
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
0
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
0
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
0
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
0
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
0
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
0
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
0
(neg.f64 (asin.f64 (-.f64 1 x)))
0
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
0
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
0
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
0
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
0
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
0
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
0
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
0
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
0
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
0
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
0
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
0
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
0
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 (PI.f64) 1/2) 1/4))
0
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
0
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1/2))
0
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
0
(pow.f64 (*.f64 (PI.f64) 1/2) 1/2)
0
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
0
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3)
0
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 1/3)
0
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) 2)
0
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
0
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
0
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))
0
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
0
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
0
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
0
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/2))
0
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1))
0
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
0
(+.f64 0 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
0
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
0
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)))
0
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) 1)
0
(*.f64 1 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
0
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
0
(*.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 1)
0
(*.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
0
(*.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
0
(pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 1)
0
(pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 3)
0
(pow.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 3) 1/3)
0
(pow.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)
0
(sqrt.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 2))
0
(cbrt.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 3))
0
(expm1.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
0
(exp.f64 (log.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
0
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 1))
0
(log1p.f64 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
0
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)
0
(*.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
0
(*.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
0
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
0
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
0
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4))
0
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
0
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/2))
0
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
0
(pow.f64 (E.f64) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
0
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/2)
0
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
0
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
0
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2) 1/3)
0
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)
0
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
0
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
0
(fabs.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
0
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
0
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
0
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))
0
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
0
(exp.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
0
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
0
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
0

eval1.1s (6.8%)

Compiler

Compiled 43380 to 36720 computations (15.4% saved)

prune198.0ms (1.2%)

Pruning

40 alts after pruning (36 fresh and 4 done)

PrunedKeptTotal
New1759331792
Fresh639
Picked235
Done011
Total1767401807
Accuracy
11.9%
Counts
1807 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
11.6%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.0%
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
11.7%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
11.6%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
6.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
7.8%
(pow.f64 (E.f64) (-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (log.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
7.8%
(pow.f64 (E.f64) (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
7.8%
(pow.f64 (E.f64) (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
4.3%
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))))
11.6%
(pow.f64 (E.f64) (log.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))))))
7.8%
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
7.8%
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
7.8%
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
11.6%
(-.f64 (+.f64 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))))) 1)
11.6%
(-.f64 (+.f64 1 (+.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))))) 1)
7.8%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
7.8%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
11.6%
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
7.8%
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
11.6%
(+.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))))
11.6%
(+.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))))
11.6%
(+.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))))
11.6%
(+.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
7.8%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
7.2%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
7.8%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.8%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.8%
(+.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
11.6%
(+.f64 (log.f64 (sqrt.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))))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.8%
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))))
6.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
11.6%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
11.6%
(+.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))))
6.1%
(+.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)))
11.6%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.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)))))))
11.6%
(+.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))))
7.8%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
7.8%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1839 to 1607 computations (12.6% saved)

localize1.1s (6.8%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.9%
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
11.3%
(log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))
11.3%
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
7.8%
(acos.f64 (-.f64 1 x))
98.4%
(cbrt.f64 (*.f64 (PI.f64) 1/2))
97.7%
(asin.f64 (-.f64 1 x))
92.0%
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))))
11.4%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
99.9%
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
99.9%
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3)
11.5%
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
7.8%
(acos.f64 (-.f64 1 x))
100.0%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
97.7%
(asin.f64 (-.f64 1 x))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 1/2))
98.4%
(sqrt.f64 (PI.f64))
97.7%
(asin.f64 (-.f64 1 x))
14.1%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Compiler

Compiled 280 to 222 computations (20.7% saved)

series184.0ms (1.1%)

Counts
11 → 108
Calls

27 calls:

TimeVariablePointExpression
48.0ms
x
@inf
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))))
35.0ms
x
@0
(log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))
28.0ms
x
@inf
(log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))
27.0ms
x
@-inf
(log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))
15.0ms
x
@0
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))))

rewrite222.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
686×expm1-udef
684×log1p-udef
364×associate-*r*
248×associate-*l*
246×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040252
1654176
27264176
Stop Event
node limit
Counts
11 → 582
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (PI.f64))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3)
(cbrt.f64 (+.f64 1 (acos.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)))
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (*.f64 (PI.f64) 1/2))
(log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (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 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 -1 (+.f64 1 (acos.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 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (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 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.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 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (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 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
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(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (acos.f64 (-.f64 1 x)))
(/.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.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))))
(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))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.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 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) -1)
(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 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(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 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 1 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))
(pow.f64 (*.f64 (PI.f64) 1/2) 1/3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(fabs.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 (*.f64 1/3 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 0 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 1 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 1/3 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 1/3 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 3)
(*.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)) 1/2) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(fabs.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))

simplify271.0ms (1.7%)

Algorithm
egg-herbie
Rules
796×log-prod
766×div-sub
656×exp-prod
584×cube-prod
488×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055128207
1117326119
2474026111
Stop Event
node limit
Counts
690 → 345
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(+.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 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
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(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (acos.f64 (-.f64 1 x)))
(/.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.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))))
(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))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.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 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) -1)
(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 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(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 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 1 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))
(pow.f64 (*.f64 (PI.f64) 1/2) 1/3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(fabs.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 (*.f64 1/3 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 0 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(*.f64 1 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 1/3 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 1/3 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 3)
(*.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)) 1/2) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(fabs.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
Outputs
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
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(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 3)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)) 1/2) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) 3))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 3)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))))
(*.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (acos.f64 (-.f64 1 x))))))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 4))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 4))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))) (sqrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6)))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 3)
(fabs.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 3)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 3)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 3)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 3)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 3)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 3)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 1/6) (acos.f64 (-.f64 1 x))) 3)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))

eval532.0ms (3.3%)

Compiler

Compiled 26060 to 22086 computations (15.2% saved)

prune152.0ms (0.9%)

Pruning

41 alts after pruning (34 fresh and 7 done)

PrunedKeptTotal
New1133171150
Fresh141731
Picked235
Done044
Total1149411190
Accuracy
12.0%
Counts
1190 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.0%
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
11.6%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (neg.f64 (asin.f64 (-.f64 1 x))))
11.6%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
11.7%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
7.8%
(pow.f64 (E.f64) (-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (log.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
7.8%
(pow.f64 (E.f64) (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
7.8%
(pow.f64 (E.f64) (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
11.6%
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))))
4.2%
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))))
4.3%
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))))
11.6%
(pow.f64 (E.f64) (log.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))))))
7.8%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
7.8%
(-.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 3) 1)
7.8%
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 3) 1)
7.8%
(-.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1) 3) 1)
7.7%
(-.f64 (pow.f64 (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))))) 3) 1)
7.8%
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3) 1)
7.8%
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
7.8%
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
11.6%
(-.f64 (+.f64 1 (+.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))))) 1)
7.8%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
7.8%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.8%
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) 3) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 1)
11.6%
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
7.8%
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
7.2%
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
11.6%
(+.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))))
11.6%
(+.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
7.8%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
11.6%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
7.8%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
6.1%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))))
11.6%
(+.f64 (log.f64 (sqrt.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))))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.1%
(+.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)))
11.6%
(+.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))))
11.6%
(+.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))))
7.8%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
7.8%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1565 to 1388 computations (11.3% saved)

localize2.9s (17.7%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
98.4%
(cbrt.f64 (*.f64 (PI.f64) 1/2))
97.7%
(asin.f64 (-.f64 1 x))
92.0%
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))))
11.4%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))
99.8%
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)
99.6%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
12.0%
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))
7.8%
(acos.f64 (-.f64 1 x))
100.0%
(log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))
92.0%
(pow.f64 (E.f64) (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
11.5%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.8%
(acos.f64 (-.f64 1 x))
99.9%
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
7.8%
(acos.f64 (-.f64 1 x))
98.4%
(cbrt.f64 (*.f64 (PI.f64) 1/2))
97.7%
(asin.f64 (-.f64 1 x))
14.8%
(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))))
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 383 to 311 computations (18.8% saved)

series32.0ms (0.2%)

Counts
9 → 84
Calls

27 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))))
6.0ms
x
@0
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))))
6.0ms
x
@-inf
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))))
4.0ms
x
@0
(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))))
2.0ms
x
@0
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))

rewrite123.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
386×associate-*r*
307×log1p-expm1-u
306×expm1-log1p-u
272×add-cube-cbrt
270×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040422
1705242
Stop Event
node limit
Counts
9 → 421
Calls
Call 1
Inputs
(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 (PI.f64) (acos.f64 (-.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))))
Outputs
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 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 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 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 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 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 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (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 (*.f64 (PI.f64) 1/2) 1) (*.f64 (asin.f64 (-.f64 1 x)) 1))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.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 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.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) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.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))))
(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))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (PI.f64) (neg.f64 (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 (fma.f64 1 (PI.f64) (neg.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 1 (*.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (PI.f64) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)) (neg.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 1 (*.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 1 (*.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))
(+.f64 (*.f64 (PI.f64) 1) (*.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 1))
(+.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 (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 (acos.f64 (-.f64 1 x)) (PI.f64))))))
(*.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 (acos.f64 (-.f64 1 x)) (PI.f64)))) (-.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 (acos.f64 (-.f64 1 x)) (PI.f64)))))
(/.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 (acos.f64 (-.f64 1 x)) (PI.f64))))))
(/.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)))))
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(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
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(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.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) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (exp.f64 2) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.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))))
(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))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 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 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 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 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 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 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (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 (*.f64 (PI.f64) 1/2) 1) (*.f64 (asin.f64 (-.f64 1 x)) 1))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.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 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.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) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(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))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))

simplify250.0ms (1.5%)

Algorithm
egg-herbie
Rules
822×log-prod
612×exp-prod
530×fma-def
524×cube-prod
492×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056826838
1142023544
2584623384
Stop Event
node limit
Counts
505 → 308
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.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) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(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))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
Outputs
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (PI.f64) (cbrt.f64 1/4))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (PI.f64) (cbrt.f64 1/4))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (PI.f64) (cbrt.f64 1/4))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (PI.f64) (cbrt.f64 1/4))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (PI.f64) (cbrt.f64 1/4))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (PI.f64) (cbrt.f64 1/4))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (PI.f64) (cbrt.f64 1/4))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (PI.f64) (cbrt.f64 1/4))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (PI.f64) (cbrt.f64 1/4))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (PI.f64) (cbrt.f64 1/4))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (PI.f64) (cbrt.f64 1/4))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (PI.f64) (cbrt.f64 1/4))) (asin.f64 (-.f64 1 x)))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(-.f64 (PI.f64) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(acos.f64 (-.f64 1 x))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 3))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 3))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 3))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 3))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 3)) (+.f64 2 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)))))
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(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (+.f64 (neg.f64 (acos.f64 (-.f64 1 x))) -2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (-.f64 -2 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (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 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (+.f64 1 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))))) (-.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (*.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (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))
(log.f64 (+.f64 1 (expm1.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))
(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))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(acos.f64 (-.f64 1 x))
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))

eval1.1s (6.9%)

Compiler

Compiled 60303 to 51236 computations (15% saved)

prune240.0ms (1.5%)

Pruning

43 alts after pruning (31 fresh and 12 done)

PrunedKeptTotal
New186151866
Fresh32629
Picked055
Done077
Total1864431907
Accuracy
12.0%
Counts
1907 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.0%
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
11.6%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (neg.f64 (asin.f64 (-.f64 1 x))))
11.6%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
11.7%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
7.2%
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
7.8%
(pow.f64 (E.f64) (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
7.8%
(pow.f64 (E.f64) (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
11.6%
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))))
11.6%
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2)) 3)) (asin.f64 (-.f64 1 x)))))
4.2%
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))))
4.2%
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)) (asin.f64 (-.f64 1 x)))))
4.3%
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))))
7.8%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
7.8%
(/.f64 (log.f64 (exp.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
7.8%
(-.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 3) 1)
7.8%
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 3) 1)
7.8%
(-.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1) 3) 1)
7.7%
(-.f64 (pow.f64 (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))))) 3) 1)
7.8%
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3) 1)
7.8%
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
7.8%
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
11.6%
(-.f64 (+.f64 1 (+.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))))) 1)
7.8%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
7.8%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.8%
(-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) 3) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 1)
11.6%
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
7.8%
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
7.2%
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
11.6%
(+.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))))
11.6%
(+.f64 (+.f64 (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) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
7.8%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
11.6%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
7.8%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
6.1%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))))
11.6%
(+.f64 (log.f64 (sqrt.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))))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.1%
(+.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)))
11.6%
(+.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))))
11.6%
(+.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))))
7.8%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
7.8%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2335 to 2013 computations (13.8% saved)

regimes64.0ms (0.4%)

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

3 calls:

46.0ms
x
10.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
11.7%1x
11.7%1(acos.f64 (-.f64 1 x))
11.7%1(-.f64 1 x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes22.0ms (0.1%)

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

3 calls:

13.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
11.6%1x
11.6%1(-.f64 1 x)
11.6%1(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes20.0ms (0.1%)

Counts
25 → 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 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(pow.f64 (E.f64) (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 3) 1)
(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 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 3) 1)
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 3) 1)
(-.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1) 3) 1)
Outputs
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
Calls

3 calls:

12.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
11.6%1(acos.f64 (-.f64 1 x))
11.6%1(-.f64 1 x)
11.6%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes23.0ms (0.1%)

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

3 calls:

14.0ms
x
5.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.6%2x
10.6%2(-.f64 1 x)
10.6%2(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes15.0ms (0.1%)

Counts
5 → 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 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
Outputs
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
Calls

3 calls:

8.0ms
x
3.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.6%2(-.f64 1 x)
10.6%2x
10.6%2(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes13.0ms (0.1%)

Counts
4 → 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 (acos.f64 (-.f64 1 x)) -1) 1)
Outputs
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
Calls

3 calls:

7.0ms
x
3.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.6%2(-.f64 1 x)
10.6%2x
10.6%2(acos.f64 (-.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
7.8%1(-.f64 1 x)
7.8%1x
7.8%1(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.4901161193847656e-8
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.4901161193847656e-8
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.4901161193847656e-8
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
36×unsub-neg
26×+-commutative
22×sub-neg
22×neg-mul-1
20×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047364
172364
287364
399364
4116364
5147364
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))
(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
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 1) 1))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -1) -1))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(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 113 to 99 computations (12.4% saved)

soundness1.7s (10.4%)

Rules
1136×fma-def
1050×log1p-expm1-u
1050×log1p-expm1-u
932×associate-*r*
810×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
18714
2101814
028283
1444214
25516214
040252
1654176
27264176
055128207
1117326119
2474026111
0914
18714
2101814
028283
1444214
25516214
0914
18714
2101814
0914
18714
2101814
01561676
13461589
29821498
350691498
055128207
1117326119
2474026111
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1264 to 1044 computations (17.4% saved)

end0.0ms (0%)

preprocess89.0ms (0.5%)

Compiler

Compiled 240 to 198 computations (17.5% saved)

Profiling

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