bug323 (missed optimization)

Time bar (total: 22.3s)

analyze0.0ms (0%)

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

Compiled 12 to 9 computations (25% saved)

sample1.7s (7.9%)

Results
1.0s4160×body1024valid
318.0ms2031×body512valid
195.0ms406×body2048valid
178.0ms1659×body256valid
Bogosity

preprocess69.0ms (0.3%)

Algorithm
egg-herbie
Rules
64×fma-def
22×sub-neg
18×distribute-lft-neg-in
16×fma-neg
16×associate--r+
Problems
255×(acos.f64 (-.f64 1 x))
No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01246
12042
23242
36142
49842
513742
616142
717042
Stop Event
saturated
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(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))
Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(acos.f64 (-.f64 1 x))
6.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 10 to 8 computations (20% saved)

localize131.0ms (0.6%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
6.8%
(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))

rewrite101.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
460×unpow-prod-down
392×log1p-expm1-u
392×expm1-log1p-u
371×add-exp-log
357×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
18414
2101514
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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.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 (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 (*.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))))))
(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 (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))

simplify53.0ms (0.2%)

Algorithm
egg-herbie
Rules
1042×fma-def
976×associate-*r*
858×associate-*l*
838×fma-neg
816×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01561427
13471360
29781344
350401344
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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.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 (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 (*.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))))))
(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 (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Outputs
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(-.f64 (*.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 (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 (*.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)))
(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 (cbrt.f64 (pow.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)))))
(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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))

eval21.0ms (0.1%)

Compiler

Compiled 993 to 838 computations (15.6% saved)

prune64.0ms (0.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New481462
Fresh000
Picked011
Done000
Total481563
Accuracy
10.2%
Counts
63 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.0%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
5.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.8%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
6.8%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
6.8%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.8%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
10.1%
(+.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))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
6.8%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
6.8%
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
6.8%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
6.8%
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
6.8%
(acos.f64 (-.f64 1 x))
5.0%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
5.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.8%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
6.8%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
6.8%
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
6.8%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.8%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
10.1%
(+.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))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
6.8%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
6.8%
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
6.8%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
6.8%
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
6.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 886 to 768 computations (13.3% saved)

localize1.8s (8.2%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
98.8%
(cbrt.f64 (acos.f64 (-.f64 1 x)))
98.4%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)
75.0%
(cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))
6.8%
(acos.f64 (-.f64 1 x))
99.5%
(*.f64 3 (log.f64 (acos.f64 (-.f64 1 x))))
99.5%
(*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3)
92.7%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
6.8%
(acos.f64 (-.f64 1 x))
99.2%
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
69.3%
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
6.8%
(acos.f64 (-.f64 1 x))
8.9%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.8%
(acos.f64 (-.f64 1 x))
98.6%
(asin.f64 (-.f64 1 x))
98.5%
(sqrt.f64 (asin.f64 (-.f64 1 x)))
6.8%
(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 202 to 163 computations (19.3% saved)

series119.0ms (0.5%)

Counts
12 → 112
Calls

36 calls:

TimeVariablePointExpression
30.0ms
x
@0
(cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))
23.0ms
x
@0
(*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3)
16.0ms
x
@inf
(*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3)
13.0ms
x
@-inf
(cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))
13.0ms
x
@inf
(cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))

rewrite197.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1580×prod-diff
797×log1p-expm1-u
474×expm1-udef
472×log1p-udef
228×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028302
1406239
24442239
Stop Event
node limit
Counts
12 → 556
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)))
(sqrt.f64 (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3)
(*.f64 3 (log.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 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 (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 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.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 (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 (-.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)))))))
(/.f64 (-.f64 0 (asin.f64 (-.f64 1 x))) (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 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -1 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 1 (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.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 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 -1 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3)) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (/.f64 1 (+.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)))) (fma.f64 (neg.f64 (/.f64 1 (+.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 (/.f64 1 (+.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 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 1 1/3)))) (fma.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (pow.f64 1 1/3) (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 1 1/3))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)))) (fma.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))))) (fma.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 1 (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.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 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 -1 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3)) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (/.f64 1 (+.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)))) (fma.f64 (neg.f64 (/.f64 1 (+.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 (/.f64 1 (+.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 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 1 1/3)))) (fma.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (pow.f64 1 1/3) (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 1 1/3))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)))) (fma.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1)))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)))))
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(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (acos.f64 (-.f64 1 x))) 1 (acos.f64 (-.f64 1 x))))
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(log.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x))))) 1))
(log1p.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) 1/3))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8/3)
(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4)) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(exp.f64 (*.f64 (*.f64 8 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8) 1)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 8) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 8))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 8) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 8))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)) 1) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4)))
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(exp.f64 (*.f64 8 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (*.f64 8 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/9)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))

simplify182.0ms (0.8%)

Algorithm
egg-herbie
Rules
876×associate-*r*
778×fma-def
720×associate-*l*
432×+-commutative
390×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076122857
1175722857
Stop Event
node limit
Counts
668 → 383
Calls
Call 1
Inputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(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 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 3 (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(*.f64 3 (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(*.f64 3 (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(*.f64 3 (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/9)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/9)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/9)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/9)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/3)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/3)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/3)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 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))))
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(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(exp.f64 (*.f64 8 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (*.f64 8 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/9)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (cbrt.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
(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
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(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 3 (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 3 (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 3 (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 3 (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18))
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18))
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18))
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18))
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 8) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(acos.f64 (-.f64 1 x))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
0
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
0
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
0
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
0
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(/.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))))
0
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
0
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
0
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
0
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
0
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
0
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
0
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
0
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
0
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
0
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(+.f64 0 (sqrt.f64 (asin.f64 (-.f64 1 x))))
0
(-.f64 0 (sqrt.f64 (asin.f64 (-.f64 1 x))))
0
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 1)
0
(*.f64 1 (sqrt.f64 (asin.f64 (-.f64 1 x))))
0
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1)
0
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) -1)
0
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
0
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))))
0
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
0
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
0
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)))
0
(*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))
0
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (asin.f64 (-.f64 1 x))))
0
(*.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))
0
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
0
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(exp.f64 (log.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x))))) 1))
(log.f64 (acos.f64 (-.f64 1 x)))
(log1p.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1))
(log.f64 (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))) 1)
(acos.f64 (-.f64 1 x))
(*.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16))))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) 1/3))
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4)) 2)
(acos.f64 (-.f64 1 x))
(sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 8 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 1/3))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))) 1))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(acos.f64 (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))) 1)
(acos.f64 (-.f64 1 x))
(*.f64 1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 8) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 8))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 8) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 8))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)) 1) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16)) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4)))
(acos.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 16))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 8 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 8 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 1))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(acos.f64 (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 1)
(acos.f64 (-.f64 1 x))
(*.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(acos.f64 (-.f64 1 x))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 -1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))) (fma.f64 (/.f64 -1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.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 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 -1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))) (fma.f64 (/.f64 -1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.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 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/9)
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 8) 1/18))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 2)
(acos.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))

eval1.4s (6.1%)

Compiler

Compiled 67246 to 57698 computations (14.2% saved)

prune317.0ms (1.4%)

Pruning

48 alts after pruning (42 fresh and 6 done)

PrunedKeptTotal
New2444342478
Fresh189
Picked055
Done011
Total2445482493
Accuracy
10.3%
Counts
2493 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
5.0%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
5.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.8%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
6.8%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
6.8%
(/.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)))
6.8%
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
6.8%
(-.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)))
10.2%
(-.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)
6.8%
(-.f64 (+.f64 1 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 1)
6.8%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
6.8%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.8%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
5.0%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
5.0%
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)))))
5.0%
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (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)))
10.2%
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
10.1%
(+.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))))
10.1%
(+.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
6.8%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
10.1%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
6.8%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
10.2%
(+.f64 (exp.f64 (log.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))))
5.0%
(+.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))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)))) (fma.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)))))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 -1 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)))) (fma.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))))))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 -1 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
10.2%
(+.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 (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)))))))
10.2%
(+.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)))))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
6.8%
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
6.8%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
6.8%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
6.8%
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
6.8%
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
6.8%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))) 1/3))
6.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1/3))
6.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
6.8%
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
5.0%
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) 3))
6.8%
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 3))
6.8%
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
6.8%
(acos.f64 (-.f64 1 x))
6.8%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
5.0%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
5.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.8%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
6.8%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
6.8%
(/.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)))
6.8%
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
6.8%
(-.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)))
10.2%
(-.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)
6.8%
(-.f64 (+.f64 1 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 1)
6.8%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
6.8%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.8%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
5.0%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
5.0%
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)))))
5.0%
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (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)))
10.2%
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
10.1%
(+.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))))
10.1%
(+.f64 (+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
6.8%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
10.1%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
6.8%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
10.2%
(+.f64 (exp.f64 (log.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))))
5.0%
(+.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))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)))) (fma.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)))))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 -1 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)))) (fma.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))))))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 -1 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
10.2%
(+.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 (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)))))))
10.2%
(+.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)))))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
6.8%
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
6.8%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
6.8%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
6.8%
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
6.8%
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
6.8%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))) 1/3))
6.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1/3))
6.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
6.8%
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
5.0%
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) 3))
6.8%
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 3))
6.8%
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
6.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 4838 to 4186 computations (13.5% saved)

localize3.0s (13.3%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
98.5%
(sqrt.f64 (asin.f64 (-.f64 1 x)))
98.5%
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (asin.f64 (-.f64 1 x))))
6.8%
(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))) (*.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))))))
99.9%
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
99.9%
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)
8.7%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
6.8%
(acos.f64 (-.f64 1 x))
99.9%
(/.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)))
99.9%
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
9.1%
(-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.8%
(acos.f64 (-.f64 1 x))
9.1%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
6.8%
(acos.f64 (-.f64 1 x))
98.5%
(sqrt.f64 (asin.f64 (-.f64 1 x)))
98.5%
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
6.8%
(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))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
Compiler

Compiled 357 to 295 computations (17.4% saved)

series79.0ms (0.4%)

Counts
11 → 132
Calls

33 calls:

TimeVariablePointExpression
42.0ms
x
@-inf
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (asin.f64 (-.f64 1 x))))
13.0ms
x
@0
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (asin.f64 (-.f64 1 x))))
12.0ms
x
@inf
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (asin.f64 (-.f64 1 x))))
2.0ms
x
@-inf
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
2.0ms
x
@inf
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)

rewrite157.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
598×expm1-udef
596×log1p-udef
320×associate-*r*
238×log1p-expm1-u
238×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032349
1542254
27451254
Stop Event
node limit
Counts
11 → 431
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(*.f64 (+.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)))
(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 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.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 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (asin.f64 (-.f64 1 x))))
Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 3/4))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
(*.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 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)))
(*.f64 (sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)) (*.f64 (sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/8) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)))
(*.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 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4))) (sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) (pow.f64 (asin.f64 (-.f64 1 x)) 1/8)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/8))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(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))
(cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) 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))))
(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 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x))))))
(*.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 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (/.f64 1 (neg.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))) 2)) (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))) (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (sqrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 2) (sqrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (sqrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (pow.f64 (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (cbrt.f64 (-.f64 2 (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 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (acos.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)))
(/.f64 1 (/.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) 1))
(/.f64 -1 (neg.f64 (/.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 2) (/.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (/.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (neg.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6)) (*.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)) (*.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(/.f64 (-.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) (*.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (pow.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) 2))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6)) 1) (*.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)) 1) (*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x)))))
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(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)) (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (pow.f64 (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (neg.f64 (-.f64 2 (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))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 3) (pow.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) 3)))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2))
(*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))))
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)))
(exp.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2)))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))
(fabs.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4))) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 3/4)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) 1)
(pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)) 2)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4))))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)))
(exp.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)))

simplify98.0ms (0.4%)

Algorithm
egg-herbie
Rules
560×associate-*r*
556×fma-def
492×associate-*l*
434×distribute-lft-in
430×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618563
11558563
Stop Event
node limit
Counts
563 → 288
Calls
Call 1
Inputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2))
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(-.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)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.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 (*.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6)) (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)) (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (pow.f64 (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (neg.f64 (-.f64 2 (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))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 3) (pow.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) 3)))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2))
(*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))))
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)))
(exp.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2)))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))
(fabs.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4))) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 3/4)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) 1)
(pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)) 2)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4))))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)))
(exp.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)))
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 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(asin.f64 (+.f64 1 (*.f64 -1 x)))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (-.f64 1 x))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(acos.f64 (+.f64 1 (*.f64 -1 x)))
0
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
0
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
0
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
0
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
0
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
0
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
0
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
0
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
0
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2))
0
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2))
0
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2))
0
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2))
0
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
0
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
0
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
0
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
0
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
0
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
0
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
0
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
0
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
0
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
0
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
0
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
0
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
0
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
0
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
0
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
0
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
0
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
0
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
0
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
0
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
0
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
0
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
0
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
0
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
0
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
0
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
0
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
0
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
0
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
0
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(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
0
(/.f64 (neg.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (neg.f64 (neg.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))))
0
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (sqrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))))
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 (acos.f64 (-.f64 1 x)) 3) 0) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
0
(/.f64 (-.f64 (pow.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))) 3)) (+.f64 (*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x))))) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))) (*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))))))
0
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
0
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
0
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (-.f64 (acos.f64 (-.f64 1 x)) 0))
0
(/.f64 (-.f64 (*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x))))) (*.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))) (+.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))))
0
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
0
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6)) (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))
0
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)) (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
0
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
0
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (pow.f64 (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))))
0
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
0
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
0
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
0
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
0
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
0
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (neg.f64 (-.f64 2 (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
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 3) (pow.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) 3)))
0
(acos.f64 (-.f64 1 x))
0
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
0
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
0
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
0
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
0
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))) 1)
0
(*.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))
0
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
0
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
0
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)))
0
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
0
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2))
0
(*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6))
0
(*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
0
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
0
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))
0
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)))
0
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))))
0
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
0
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)))
0
(exp.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x))))))
0
(exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1))
0
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)))
0
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1)
0
(*.f64 1 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
0
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
0
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
0
(*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6))
0
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
0
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/3))
0
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2)))
0
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
0
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
0
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
0
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
0
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1/2)
0
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3)
0
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2)
0
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))
0
(fabs.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
0
(log.f64 (exp.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
0
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
0
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
0
(exp.f64 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))))
0
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1/3))
0
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1))
0
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
0
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
0
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
0
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
0
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
0
(*.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(/.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))))
0
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
0
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
0
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
0
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
0
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
0
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
0
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
0
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
0
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
0
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4))) 1)
0
(pow.f64 (asin.f64 (-.f64 1 x)) 3/4)
0
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 3)
0
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) 1)
0
(pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) 3) 1/3)
0
(pow.f64 (sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)) 2)
0
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
0
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)))
0
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4))))
0
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) 3))
0
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)))
0
(exp.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)))
0
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)) 1))
0
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)))
0

eval2.1s (9.4%)

Compiler

Compiled 107445 to 92819 computations (13.6% saved)

prune376.0ms (1.7%)

Pruning

55 alts after pruning (46 fresh and 9 done)

PrunedKeptTotal
New3216223238
Fresh132437
Picked235
Done066
Total3231553286
Accuracy
10.3%
Counts
3286 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
6.8%
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
6.8%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
6.8%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
6.8%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
5.0%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
5.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.8%
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
6.8%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
6.8%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
6.8%
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 3)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.8%
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.8%
(/.f64 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.8%
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
6.8%
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
6.8%
(-.f64 (+.f64 1 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 1)
6.8%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
6.8%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.8%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
5.0%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.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)))))))
5.0%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
5.0%
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)))))
5.0%
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (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)))
5.0%
(+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) -1) 1)
10.2%
(+.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) 1)
6.8%
(+.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) -1) 1)
6.8%
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
6.8%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
10.1%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
6.8%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
5.0%
(+.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))) (*.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)))))))
10.1%
(+.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 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 1) 2)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
10.2%
(+.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 (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 -1 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
6.8%
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
6.8%
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
6.8%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
6.8%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
6.8%
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
6.8%
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
6.8%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))) 1/3))
6.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
6.8%
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.8%
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 3))
6.8%
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
6.8%
(acos.f64 (-.f64 1 x))
6.8%
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
6.8%
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
6.8%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
6.8%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
6.8%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
5.0%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
5.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.8%
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
6.8%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
6.8%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
6.8%
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 3)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.8%
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.8%
(/.f64 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.8%
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
6.8%
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
6.8%
(-.f64 (+.f64 1 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 1)
6.8%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
6.8%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.8%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
5.0%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.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)))))))
5.0%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
5.0%
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)))))
5.0%
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (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)))
5.0%
(+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) -1) 1)
10.2%
(+.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) 1)
6.8%
(+.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) -1) 1)
6.8%
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
6.8%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
10.1%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
6.8%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
5.0%
(+.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))) (*.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)))))))
10.1%
(+.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 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 1) 2)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
10.2%
(+.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 (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 -1 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
6.8%
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
6.8%
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
6.8%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
6.8%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
6.8%
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
6.8%
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
6.8%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))) 1/3))
6.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
6.8%
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.8%
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 3))
6.8%
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
6.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 4440 to 3874 computations (12.7% saved)

localize3.6s (16.1%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
98.5%
(sqrt.f64 (asin.f64 (-.f64 1 x)))
9.1%
(-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.8%
(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)))
98.6%
(asin.f64 (-.f64 1 x))
98.5%
(cbrt.f64 (asin.f64 (-.f64 1 x)))
98.5%
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
8.8%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
100.0%
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
99.9%
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
9.1%
(-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
6.8%
(acos.f64 (-.f64 1 x))
100.0%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
98.6%
(asin.f64 (-.f64 1 x))
98.5%
(sqrt.f64 (asin.f64 (-.f64 1 x)))
98.5%
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2)
6.8%
(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))) (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2))
Compiler

Compiled 455 to 375 computations (17.6% saved)

series10.0ms (0%)

Counts
10 → 120
Calls

30 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
2.0ms
x
@0
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
1.0ms
x
@-inf
(-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
1.0ms
x
@inf
(-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)))

rewrite83.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
309×log1p-expm1-u
308×expm1-log1p-u
299×add-cube-cbrt
296×add-exp-log
295×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039311
1692264
Stop Event
node limit
Counts
10 → 305
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2))
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (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 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(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))))
(asin.f64 (-.f64 1 x))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (-.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (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 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))))
(*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))))
(*.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2)) (/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (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 1 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))))
(/.f64 1 (/.f64 (-.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2)) (-.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.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 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.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 (-.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
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(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))))
(/.f64 1 (/.f64 (-.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2)) (-.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.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 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.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 (-.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(+.f64 0 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(+.f64 0 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 0 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 0 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (*.f64 0 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(/.f64 (-.f64 0 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(*.f64 (sqrt.f64 -1) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2/3)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(fabs.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 1 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(+.f64 1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)))
(*.f64 1 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6)) (+.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) (neg.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (-.f64 1 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(pow.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))

simplify117.0ms (0.5%)

Algorithm
egg-herbie
Rules
604×fma-def
580×associate-*r*
514×associate-*l*
376×times-frac
356×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053713136
1145813136
Stop Event
node limit
Counts
425 → 248
Calls
Call 1
Inputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 (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)))
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(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6)) (+.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) (neg.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (-.f64 1 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(pow.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
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 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.f64 1 x))
0
(asin.f64 (-.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
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 -1 (asin.f64 (-.f64 1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (asin.f64 (-.f64 1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (asin.f64 (-.f64 1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (asin.f64 (-.f64 1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (asin.f64 (-.f64 1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (asin.f64 (-.f64 1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (asin.f64 (-.f64 1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (asin.f64 (-.f64 1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
0
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
0
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
0
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
0
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
0
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
0
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
0
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
0
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
0
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
0
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
0
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
0
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
0
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
0
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
0
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
0
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
0
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
0
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
0
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
0
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
0
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
0
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
0
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
0
(-.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))) 1)))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))) 1)))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))) 1)))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
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(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) (neg.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (-.f64 1 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(pow.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 3)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 3) 1/3)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 2)
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 2))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 3))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) 1))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(-.f64 1 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2))

eval3.2s (14.4%)

Compiler

Compiled 161030 to 138413 computations (14% saved)

prune601.0ms (2.7%)

Pruning

63 alts after pruning (50 fresh and 13 done)

PrunedKeptTotal
New3333173350
Fresh83341
Picked145
Done099
Total3342633405
Accuracy
10.3%
Counts
3405 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
6.8%
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
6.8%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
6.8%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
6.8%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
5.0%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
5.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.8%
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
6.8%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
6.8%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
6.8%
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 3)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.8%
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.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)))) -1)))
10.2%
(/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1)))
10.2%
(/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.8%
(/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.8%
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
6.8%
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
6.8%
(-.f64 (+.f64 1 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 1)
6.8%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
6.8%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.8%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
5.0%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
5.0%
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (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)))
5.0%
(+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) -1) 1)
10.2%
(+.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) 1)
6.8%
(+.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) -1) 1)
6.8%
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
6.8%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
6.8%
(+.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
5.0%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
10.1%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
6.8%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 -1 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
10.1%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
10.2%
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
6.8%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)))) (fma.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)))))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
10.1%
(+.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 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 1) 2)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))) 2)))
10.2%
(+.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 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))) 2)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 -1 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))) 2)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
5.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 -1 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
5.0%
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) -1) 2)))
6.8%
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 2)))
6.8%
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
6.8%
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
6.8%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
6.8%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
6.8%
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
6.8%
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
6.8%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))) 1/3))
6.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
6.8%
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.8%
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 3))
6.8%
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
6.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 3893 to 3356 computations (13.8% saved)

regimes107.0ms (0.5%)

Counts
88 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
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(+.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 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)))) (fma.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)))) (fma.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)))))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)))) (fma.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)))))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
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))) (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))) 2)))
Calls

3 calls:

38.0ms
x
11.0ms
(-.f64 1 x)
6.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.2%1x
10.2%1(acos.f64 (-.f64 1 x))
10.2%1(-.f64 1 x)
Compiler

Compiled 2408 to 2052 computations (14.8% saved)

regimes72.0ms (0.3%)

Counts
66 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))) 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.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 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 3))
(+.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(+.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) -1) 1)
(-.f64 (+.f64 1 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(-.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 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1/3))
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 2)))
(/.f64 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 3)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -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 (PI.f64) 1/2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (cbrt.f64 (pow.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 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) -1) 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))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) 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)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) 3))
(+.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(+.f64 (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))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) -1) 2)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (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))) (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
(+.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 (pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2)))
(+.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 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 1) 2)))
(+.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (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 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
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))) (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
Calls

3 calls:

29.0ms
x
8.0ms
(-.f64 1 x)
6.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.2%1x
10.2%1(acos.f64 (-.f64 1 x))
10.2%1(-.f64 1 x)
Compiler

Compiled 1242 to 1068 computations (14% saved)

regimes66.0ms (0.3%)

Counts
60 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))) 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.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 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 3))
(+.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(+.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) -1) 1)
(-.f64 (+.f64 1 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(-.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 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1/3))
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 2)))
(/.f64 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 3)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -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 (PI.f64) 1/2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (cbrt.f64 (pow.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 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) -1) 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))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) 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)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) 3))
(+.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(+.f64 (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))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) -1) 2)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.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))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
Calls

3 calls:

27.0ms
x
7.0ms
(-.f64 1 x)
6.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.2%1x
10.2%1(acos.f64 (-.f64 1 x))
10.2%1(-.f64 1 x)
Compiler

Compiled 1069 to 922 computations (13.8% saved)

regimes56.0ms (0.3%)

Counts
54 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))) 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.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 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 3))
(+.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(+.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) -1) 1)
(-.f64 (+.f64 1 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(-.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 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1/3))
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 2)))
(/.f64 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 3)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -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 (PI.f64) 1/2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (cbrt.f64 (pow.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 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) -1) 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))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) 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)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) 3))
(+.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
Outputs
(+.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -1) 1)
Calls

3 calls:

24.0ms
x
6.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.2%1x
10.2%1(acos.f64 (-.f64 1 x))
10.2%1(-.f64 1 x)
Compiler

Compiled 892 to 773 computations (13.3% saved)

regimes49.0ms (0.2%)

Counts
46 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))) 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.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 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 3))
(+.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(+.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) -1) 1)
(-.f64 (+.f64 1 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(-.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 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1/3))
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 2)))
(/.f64 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 3)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -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 (PI.f64) 1/2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (cbrt.f64 (pow.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 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) -1) 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))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
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))))
Calls

3 calls:

20.0ms
x
6.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.2%1(acos.f64 (-.f64 1 x))
10.2%1(-.f64 1 x)
10.2%1x
Compiler

Compiled 714 to 621 computations (13% saved)

regimes46.0ms (0.2%)

Counts
43 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))) 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.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 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 3))
(+.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(+.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) -1) 1)
(-.f64 (+.f64 1 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(-.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 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1/3))
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 2)))
(/.f64 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 3)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -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 (PI.f64) 1/2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (cbrt.f64 (pow.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 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 8)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x)))) -1) 1)
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
Calls

3 calls:

20.0ms
x
5.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.2%1x
10.2%1(-.f64 1 x)
10.2%1(acos.f64 (-.f64 1 x))
Compiler

Compiled 651 to 567 computations (12.9% saved)

regimes53.0ms (0.2%)

Counts
34 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))) 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.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 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 3))
(+.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(+.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) -1) 1)
(-.f64 (+.f64 1 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(-.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 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1/3))
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 2)))
(/.f64 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 3)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Outputs
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
Calls

3 calls:

29.0ms
x
7.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.3%2(acos.f64 (-.f64 1 x))
9.3%2(-.f64 1 x)
9.3%2x
Compiler

Compiled 491 to 429 computations (12.6% saved)

regimes49.0ms (0.2%)

Counts
32 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))) 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.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 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 3))
(+.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(+.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3) -1) 1)
(-.f64 (+.f64 1 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(-.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 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1/3))
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(*.f64 (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 2)))
(/.f64 (-.f64 1 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 3)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
Calls

3 calls:

27.0ms
x
7.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.3%2x
9.3%2(acos.f64 (-.f64 1 x))
9.3%2(-.f64 1 x)
Compiler

Compiled 443 to 389 computations (12.2% saved)

regimes17.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
Calls

3 calls:

9.0ms
x
3.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.3%2(acos.f64 (-.f64 1 x))
9.3%2(-.f64 1 x)
9.3%2x
Compiler

Compiled 54 to 44 computations (18.5% saved)

regimes8.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
3 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
Outputs
(acos.f64 (-.f64 1 x))
Calls

3 calls:

3.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
6.8%1(acos.f64 (-.f64 1 x))
6.8%1(-.f64 1 x)
6.8%1x
Compiler

Compiled 32 to 26 computations (18.8% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.9999999999999996
1.0
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch13.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
3.3252540003499516e-19
4.847379101867471e-16
Results
12.0ms128×body256valid
Compiler

Compiled 161 to 143 computations (11.2% saved)

bsearch13.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
3.3252540003499516e-19
4.847379101867471e-16
Results
11.0ms128×body256valid
Compiler

Compiled 137 to 119 computations (13.1% saved)

simplify20.0ms (0.1%)

Algorithm
egg-herbie
Rules
56×+-commutative
34×sub-neg
32×*-commutative
26×neg-mul-1
26×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064826
197822
2132822
3162822
4179822
5187822
6190822
7191822
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.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 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))) 2)))
(+.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 (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(+.f64 (+.f64 (+.f64 (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) 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))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(if (<=.f64 (-.f64 1 x) 1) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(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))) (pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))) 2)))
(+.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 (expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(+.f64 (+.f64 (+.f64 (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) 1)
(+.f64 1 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) -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))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(if (<=.f64 (-.f64 1 x) 1) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 (-.f64 1 (*.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(if (<=.f64 (-.f64 1 x) 1) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 (-.f64 1 (*.f64 (+.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
Compiler

Compiled 239 to 203 computations (15.1% saved)

soundness2.0s (8.9%)

Rules
1580×prod-diff
1580×prod-diff
1580×prod-diff
1580×prod-diff
1580×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
18414
2101514
028302
1406239
24442239
028302
1406239
24442239
028302
1406239
24442239
0914
18414
2101514
028302
1406239
24442239
0914
18414
2101514
028302
1406239
24442239
028302
1406239
24442239
028302
1406239
24442239
039311
1692264
028302
1406239
24442239
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1695 to 1439 computations (15.1% saved)

end0.0ms (0%)

preprocess158.0ms (0.7%)

Compiler

Compiled 486 to 404 computations (16.9% saved)

Profiling

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