bug323 (missed optimization)

Time bar (total: 14.0s)

analyze0.0ms (0%)

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

Compiled 12 to 9 computations (25% saved)

sample2.8s (20.2%)

Results
1.5s4007×body1024valid
648.0ms2146×body512valid
407.0ms1710×body256valid
245.0ms393×body2048valid
Bogosity

preprocess26.0ms (0.2%)

Algorithm
egg-herbie
Rules
64×fma-def
22×sub-neg
18×distribute-lft-neg-in
16×fma-neg
16×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
11833
23033
35933
49633
513533
615933
716833
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 5 to 4 computations (20% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
7.0%
(acos.f64 (-.f64 1 x))
7.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 10 to 8 computations (20% saved)

localize58.0ms (0.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
7.0%
(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))

rewrite59.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1478×pow1
1368×add-exp-log
1366×log1p-expm1-u
1366×expm1-log1p-u
1344×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114611
2179511
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
Outputs
(+.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 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.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)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(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))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))

simplify71.0ms (0.5%)

Algorithm
egg-herbie
Rules
1020×fma-def
712×log-prod
616×associate-/l*
494×associate-*r*
412×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060396
1147392
2495392
32261392
45297392
Stop Event
node limit
Counts
24 → 26
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 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.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)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(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))))
(log1p.f64 (expm1.f64 (acos.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 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(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 (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 (-.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 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (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))) (*.f64 (PI.f64) (*.f64 1/4 (PI.f64)))))
(/.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))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4)))
(/.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))) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(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)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(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))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))

eval40.0ms (0.3%)

Compiler

Compiled 337 to 270 computations (19.9% saved)

prune22.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New20626
Fresh000
Picked011
Done000
Total20727
Accuracy
7.0%
Counts
27 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.0%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
7.0%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
7.0%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.0%
(acos.f64 (-.f64 1 x))
7.0%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
7.0%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
7.0%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 374 to 312 computations (16.6% saved)

localize977.0ms (7%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
99.5%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
98.6%
(asin.f64 (-.f64 1 x))
9.0%
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
99.3%
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
60.7%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
7.0%
(acos.f64 (-.f64 1 x))
8.9%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(acos.f64 (-.f64 1 x))
92.3%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.0%
(acos.f64 (-.f64 1 x))
9.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 171 to 131 computations (23.4% saved)

series16.0ms (0.1%)

Counts
9 → 92
Calls

27 calls:

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

rewrite210.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
856×expm1-udef
556×add-sqr-sqrt
542×pow1
534×*-un-lft-identity
528×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027197
1587137
27813137
Stop Event
node limit
Counts
9 → 631
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
Outputs
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3)))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(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 1/2 (PI.f64) (neg.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 (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))))
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))

simplify366.0ms (2.6%)

Algorithm
egg-herbie
Rules
882×associate-*r*
768×associate-*l*
720×fma-def
708×log-prod
606×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055435247
1143433547
2792833547
Stop Event
node limit
Counts
723 → 323
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(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)))
(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)
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(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 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x)))) (/.f64 1 (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.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))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1) (/.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (/.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (/.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
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(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fabs.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x)))) (/.f64 1 (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.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))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1) (/.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (/.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1) (/.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (/.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) 1/6)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3)))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(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 1/2 (PI.f64) (neg.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 (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))))
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(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))
(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)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
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(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(acos.f64 (-.f64 1 x))
(*.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (E.f64) (log.f64 (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)) 6) 1/6)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(fabs.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.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))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (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 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(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)))
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(acos.f64 (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(exp.f64 (*.f64 2 (log.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 2))
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 2)

eval430.0ms (3.1%)

Compiler

Compiled 18158 to 14975 computations (17.5% saved)

prune186.0ms (1.3%)

Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New78924813
Fresh101
Picked235
Done011
Total79228820
Accuracy
10.2%
Counts
820 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.2%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
7.0%
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
5.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
7.0%
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
7.0%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
7.0%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
10.2%
(/.f64 (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
7.0%
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
7.0%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
7.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.0%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
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 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
7.0%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
7.0%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.0%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.0%
(log.f64 (exp.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
7.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.0%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.0%
(acos.f64 (-.f64 1 x))
5.2%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
7.0%
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
5.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
7.0%
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
7.0%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
7.0%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
10.2%
(/.f64 (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
7.0%
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
7.0%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
7.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.0%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
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 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
7.0%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
7.0%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.0%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.0%
(log.f64 (exp.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
7.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.0%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1880 to 1640 computations (12.8% saved)

localize2.3s (16.5%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
98.5%
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
98.5%
(cbrt.f64 (asin.f64 (-.f64 1 x)))
7.0%
(acos.f64 (-.f64 1 x))
3.2%
(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))
100.0%
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
8.9%
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(acos.f64 (-.f64 1 x))
99.5%
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
99.5%
(/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))
9.1%
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)
7.0%
(acos.f64 (-.f64 1 x))
9.1%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
7.0%
(acos.f64 (-.f64 1 x))
98.6%
(asin.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)
9.0%
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
Compiler

Compiled 318 to 259 computations (18.6% saved)

series21.0ms (0.2%)

Counts
12 → 128
Calls

36 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
2.0ms
x
@-inf
(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))
2.0ms
x
@inf
(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))
2.0ms
x
@0
(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))
2.0ms
x
@inf
(sqrt.f64 (asin.f64 (-.f64 1 x)))

rewrite91.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
744×add-sqr-sqrt
734×pow1
728×*-un-lft-identity
690×add-exp-log
690×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034364
1773350
Stop Event
node limit
Counts
12 → 278
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(sqrt.f64 (asin.f64 (-.f64 1 x)))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)
(/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
Outputs
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))))
(+.f64 (fma.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 1/2 (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 1/2 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))))
(*.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(exp.f64 (log.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(fma.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 1/2 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 1/2 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(-.f64 (/.f64 (PI.f64) 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 (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))))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fabs.f64 (asin.f64 (-.f64 1 x)))
(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)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))
(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 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (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 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2)
(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 (exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (/.f64 1 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(*.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 0))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 1)) (neg.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0) 1)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)) 3)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)) 2)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0) 2))
(log.f64 (*.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0))))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0) 3))
(expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)) 1))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 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)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) 1)
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(pow.f64 (pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -1/2) 2)
(pow.f64 (/.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 1) -1)
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(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
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(*.f64 (sqrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(pow.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(-.f64 0 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 -1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (pow.f64 1 1/3) (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)
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(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 (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 (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)) (pow.f64 (cbrt.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)))

simplify157.0ms (1.1%)

Algorithm
egg-herbie
Rules
834×log-prod
722×exp-prod
702×fma-neg
618×cube-prod
494×fabs-mul
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06084294980512
1134412500
2474012482
Stop Event
node limit
Counts
406 → 353
Calls
Call 1
Inputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(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)))
(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))))
(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 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1)
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1) (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1) (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1) (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1) (+.f64 2 (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)))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
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(sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) 2))
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(fma.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) 1)
(*.f64 1 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(*.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) (sqrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 2)) (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 2)) (cbrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 2) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) (/.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 1) (/.f64 (sqrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 2)) (/.f64 (sqrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) 2)
(pow.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) 1)
(*.f64 1 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -2)) (cbrt.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -1/2) (pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -1/2))
(*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (pow.f64 (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) -1))
(pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -1)
(pow.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -1/2) 2)
(pow.f64 (/.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 1) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -2))
(log.f64 (pow.f64 (exp.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x))))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))) 1)
(*.f64 1 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) 2) (cbrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(*.f64 (sqrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) (sqrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(pow.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(exp.f64 (log.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(pow.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(-.f64 0 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 -1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (pow.f64 1 1/3) (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)
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(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 (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 (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)) (pow.f64 (cbrt.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)))
Outputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(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 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (-.f64 1 x)))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (-.f64 1 x)))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (-.f64 1 x)))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.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))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1)
(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1)
(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1)
(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1)
(+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.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 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.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 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.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 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.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 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.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 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.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 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.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 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.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 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1) (+.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 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1) (+.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 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1) (+.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 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1) (+.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))))
(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))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (asin.f64 (-.f64 1 x)) 0)
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (asin.f64 (-.f64 1 x)) 0)
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (asin.f64 (-.f64 1 x)) 0)
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (asin.f64 (-.f64 1 x)) 0)
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (asin.f64 (-.f64 1 x)) 0)
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (asin.f64 (-.f64 1 x)) 0)
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (asin.f64 (-.f64 1 x)) 0)
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (asin.f64 (-.f64 1 x)) 0)
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (asin.f64 (-.f64 1 x)) 0)
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (asin.f64 (-.f64 1 x)) 0)
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (asin.f64 (-.f64 1 x)) 0)
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(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) 1))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) 1)
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 1 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -2)) (cbrt.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -2)) (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -1/2) (pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -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 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 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 2 (acos.f64 (-.f64 1 x)))) (pow.f64 (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) 2)) (/.f64 1 (cbrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) -1))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) -2)
(pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -1)
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(pow.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 1)
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) 3)
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 3) 1/3)
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -1/2) 2)
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(pow.f64 (/.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 1) -1)
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) -2))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(log.f64 (pow.f64 (exp.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x))))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 3))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) -1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) 1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))) 1)
(acos.f64 (-.f64 1 x))
(*.f64 1 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) 2) (cbrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) (sqrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(acos.f64 (-.f64 1 x))
(pow.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) 2)
(acos.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) 1))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(acos.f64 (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1)
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))))
(/.f64 (hypot.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) (sqrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/2)
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3)
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) 2)
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(fabs.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))) 1)
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(*.f64 1 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(pow.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) 1)
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) 3)
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) 3) 1/3)
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) 2)
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) 2))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) 3))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) 1))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 2 (asin.f64 (-.f64 1 x)))
(-.f64 0 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2/3)
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(fabs.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) 1)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(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))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(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))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)

eval702.0ms (5%)

Compiler

Compiled 34307 to 29084 computations (15.2% saved)

prune246.0ms (1.8%)

Pruning

47 alts after pruning (39 fresh and 8 done)

PrunedKeptTotal
New1236241260
Fresh41519
Picked145
Done044
Total1241471288
Accuracy
10.5%
Counts
1288 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.0%
(fma.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
5.2%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
7.0%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
5.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
7.0%
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
7.0%
(pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) 3)
7.0%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
10.3%
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
7.0%
(/.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
10.3%
(/.f64 (+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
7.0%
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (/.f64 1 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
7.0%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
7.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.2%
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
7.0%
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) -1) 1)
7.0%
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
7.0%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (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))))
5.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2) 2) (asin.f64 (-.f64 1 x))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (asin.f64 (-.f64 1 x))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) (asin.f64 (-.f64 1 x))))
5.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)) 2) (asin.f64 (-.f64 1 x))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (asin.f64 (-.f64 1 x))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))))
6.8%
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
7.0%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
7.0%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.0%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.0%
(log.f64 (exp.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
7.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.0%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.0%
(acos.f64 (-.f64 1 x))
7.0%
(fma.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
5.2%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
7.0%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
5.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
7.0%
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
7.0%
(pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) 3)
7.0%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
10.3%
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
7.0%
(/.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
10.3%
(/.f64 (+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
7.0%
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (/.f64 1 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
7.0%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
7.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.2%
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
7.0%
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) -1) 1)
7.0%
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
7.0%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (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))))
5.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2) 2) (asin.f64 (-.f64 1 x))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (asin.f64 (-.f64 1 x))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) (asin.f64 (-.f64 1 x))))
5.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)) 2) (asin.f64 (-.f64 1 x))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (asin.f64 (-.f64 1 x))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))))
6.8%
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
7.0%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
7.0%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.0%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.0%
(log.f64 (exp.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
7.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.0%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 3556 to 3086 computations (13.2% saved)

localize1.3s (9.2%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
98.6%
(asin.f64 (-.f64 1 x))
98.5%
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
98.5%
(exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
9.0%
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1))
100.0%
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
99.9%
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) 2)
8.9%
(fma.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(acos.f64 (-.f64 1 x))
91.8%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
7.0%
(acos.f64 (-.f64 1 x))
100.0%
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
98.6%
(asin.f64 (-.f64 1 x))
7.0%
(acos.f64 (-.f64 1 x))
98.6%
(asin.f64 (-.f64 1 x))
98.4%
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))
97.5%
(pow.f64 (*.f64 (PI.f64) 1/2) 4)
12.1%
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
Compiler

Compiled 335 to 271 computations (19.1% saved)

series212.0ms (1.5%)

Counts
10 → 88
Calls

24 calls:

TimeVariablePointExpression
45.0ms
x
@inf
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1))
42.0ms
x
@0
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
26.0ms
x
@-inf
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
25.0ms
x
@0
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1))
13.0ms
x
@-inf
(fma.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)

rewrite89.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
738×add-sqr-sqrt
734×pow1
722×*-un-lft-identity
698×add-exp-log
694×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040298
1863224
Stop Event
node limit
Counts
10 → 237
Calls
Call 1
Inputs
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (*.f64 (PI.f64) 1/2) 4)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) 2)
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1))
(exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
Outputs
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)
(+.f64 (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(+.f64 (fma.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 1/2 (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 1/2 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2))) 1)
(*.f64 1 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2))
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(+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(+.f64 (fma.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 1/2 (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 1/2 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(*.f64 1 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2))))
(/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (neg.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)))
(pow.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2) 3) 1/3)
(pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)))
(fma.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 1/2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(*.f64 1 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(pow.f64 (E.f64) (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2))) (cbrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 0 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(*.f64 1 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2))
(log.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1))

simplify142.0ms (1%)

Algorithm
egg-herbie
Rules
702×log-prod
614×sqr-pow
588×fma-neg
416×associate-+l+
412×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04564294979309
199810819
235029863
Stop Event
node limit
Counts
325 → 252
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(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)))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(*.f64 1 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2))
(log.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1))
Outputs
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (*.f64 1 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/16) (*.f64 (cbrt.f64 1/4) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (*.f64 1 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/16) (*.f64 (cbrt.f64 1/4) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (*.f64 1 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/16) (*.f64 (cbrt.f64 1/4) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (*.f64 1 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/16) (*.f64 (cbrt.f64 1/4) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (*.f64 1 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/16) (*.f64 (cbrt.f64 1/4) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (*.f64 1 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/16) (*.f64 (cbrt.f64 1/4) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (*.f64 1 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/16) (*.f64 (cbrt.f64 1/4) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (*.f64 1 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/16) (*.f64 (cbrt.f64 1/4) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 (*.f64 1 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/16) (*.f64 (cbrt.f64 1/4) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 (*.f64 1 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/16) (*.f64 (cbrt.f64 1/4) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 (*.f64 1 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/16) (*.f64 (cbrt.f64 1/4) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4)))) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 (*.f64 1 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 1/16) (cbrt.f64 1/4))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/16) (*.f64 (cbrt.f64 1/4) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 2 (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (log.f64 (E.f64)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
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(-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)) 1))
(pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)))
(pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)
(fma.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 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)) (fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (PI.f64)) 1/2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 1 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (E.f64) (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) 1/3)
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2))) (cbrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 0 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (log.f64 (sqrt.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 1 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) 1/3)
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2))
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1))
(log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))

eval698.0ms (5%)

Compiler

Compiled 32689 to 27383 computations (16.2% saved)

prune166.0ms (1.2%)

Pruning

48 alts after pruning (36 fresh and 12 done)

PrunedKeptTotal
New114651151
Fresh33134
Picked145
Done088
Total1150481198
Accuracy
10.5%
Counts
1198 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.0%
(fma.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) 2) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) 2) -1)
7.0%
(fma.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
5.2%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
7.0%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
5.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
7.0%
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.0%
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
7.0%
(pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) 3)
7.0%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
10.3%
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
6.8%
(/.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
5.2%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (-.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)) 1)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
7.0%
(/.f64 (+.f64 (pow.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
10.3%
(/.f64 (+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
7.0%
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (/.f64 1 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
7.0%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
7.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.2%
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
7.0%
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) -1) 1)
7.0%
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
7.0%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (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))))
5.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2) 2) (asin.f64 (-.f64 1 x))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (asin.f64 (-.f64 1 x))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) (asin.f64 (-.f64 1 x))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (asin.f64 (-.f64 1 x))))
10.2%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))))
6.8%
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
6.8%
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
7.0%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
7.0%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.0%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.0%
(log.f64 (exp.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
7.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.0%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2133 to 1828 computations (14.3% saved)

regimes93.0ms (0.7%)

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

3 calls:

39.0ms
x
9.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.3%1x
10.3%1(acos.f64 (-.f64 1 x))
10.3%1(-.f64 1 x)
Compiler

Compiled 1211 to 1023 computations (15.5% saved)

regimes68.0ms (0.5%)

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

3 calls:

27.0ms
x
8.0ms
(-.f64 1 x)
5.0ms
(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 1071 to 906 computations (15.4% saved)

regimes58.0ms (0.4%)

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

3 calls:

25.0ms
x
6.0ms
(-.f64 1 x)
5.0ms
(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 874 to 743 computations (15% saved)

regimes53.0ms (0.4%)

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

3 calls:

22.0ms
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 763 to 652 computations (14.5% saved)

regimes47.0ms (0.3%)

Counts
40 → 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 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.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)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) 3)
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 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 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(*.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 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (/.f64 1 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(log.f64 (exp.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (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 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(/.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1) (sqrt.f64 (+.f64 1 (acos.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))))
(fma.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) 2) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/4) 2) -1)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
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
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 633 to 545 computations (13.9% saved)

regimes61.0ms (0.4%)

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

3 calls:

33.0ms
x
8.0ms
(-.f64 1 x)
6.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.4%2x
9.4%2(acos.f64 (-.f64 1 x))
9.4%2(-.f64 1 x)
Compiler

Compiled 544 to 470 computations (13.6% saved)

regimes49.0ms (0.3%)

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

3 calls:

27.0ms
x
7.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.4%2x
9.4%2(acos.f64 (-.f64 1 x))
9.4%2(-.f64 1 x)
Compiler

Compiled 395 to 346 computations (12.4% saved)

regimes31.0ms (0.2%)

Counts
16 → 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 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.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)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) 3)
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 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 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
Outputs
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
Calls

3 calls:

17.0ms
x
5.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.4%2(acos.f64 (-.f64 1 x))
9.4%2(-.f64 1 x)
9.4%2x
Compiler

Compiled 177 to 154 computations (13% saved)

regimes22.0ms (0.2%)

Counts
9 → 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 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
Outputs
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
Calls

3 calls:

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

Compiled 83 to 70 computations (15.7% saved)

regimes9.0ms (0.1%)

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
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
Calls

3 calls:

4.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
7.0%1(-.f64 1 x)
7.0%1(acos.f64 (-.f64 1 x))
7.0%1x
Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 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
7.0%1(acos.f64 (-.f64 1 x))
7.0%1(-.f64 1 x)
7.0%1x
Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch0.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
8.639725538483154e-20
7.242704103250547e-17
Results
12.0ms128×body256valid
Compiler

Compiled 281 to 247 computations (12.1% saved)

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
8.639725538483154e-20
7.242704103250547e-17
Results
12.0ms128×body256valid
Compiler

Compiled 209 to 183 computations (12.4% saved)

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
8.639725538483154e-20
7.242704103250547e-17
Results
13.0ms128×body256valid
Compiler

Compiled 193 to 167 computations (13.5% saved)

simplify20.0ms (0.1%)

Algorithm
egg-herbie
Rules
42×+-commutative
28×*-commutative
24×sub-neg
16×neg-mul-1
16×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076825
1109825
2132825
3148825
4153825
5154825
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.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))) (asin.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))) (/.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x)))) (/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x)))) (+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x)))) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))
Outputs
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 1/16))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.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))) (asin.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))) (/.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(if (<=.f64 (-.f64 1 x) 1) (/.f64 1 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))) (/.f64 (pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x)))) (/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x)))) (/.f64 1 (/.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x)))) (+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x)))) (+.f64 1 (+.f64 -1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x)))) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x)))) (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
Compiler

Compiled 279 to 238 computations (14.7% saved)

soundness1.9s (13.3%)

Rules
1478×pow1
1478×pow1
1478×pow1
1368×add-exp-log
1368×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114611
2179511
027197
1587137
27813137
034364
1773350
0711
114611
2179511
027197
1587137
27813137
034364
1773350
06084294980512
1134412500
2474012482
027197
1587137
27813137
0711
114611
2179511
027197
1587137
27813137
040298
1863224
04564294979309
199810819
235029863
027197
1587137
27813137
04564294979309
199810819
235029863
027197
1587137
27813137
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
node limit
node limit
node limit
Compiler

Compiled 1583 to 1316 computations (16.9% saved)

end0.0ms (0%)

preprocess181.0ms (1.3%)

Compiler

Compiled 564 to 472 computations (16.3% saved)

Profiling

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