Details

Time bar (total: 11.9s)

analyze0.0ms (0%)

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

Compiled 12 to 9 computations (25% saved)

sample2.1s (17.7%)

Results
1.2s4046×body1024valid
500.0ms2159×body512valid
177.0ms407×body2048valid
162.0ms1644×body256valid
Bogosity

preprocess15.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
16×sub-neg
12×fma-def
8×+-commutative
6×associate--r+
6×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21511
32211
43011
54011
65111
76311
86611
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(acos.f64 (-.f64 1 x))
Outputs
(acos.f64 (-.f64 1 x))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×sub-neg
12×fma-def
8×+-commutative
6×associate--r+
6×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21511
32211
43011
54011
65111
76311
86611
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
Outputs
(acos.f64 (-.f64 1 x))

eval0.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
6.1%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize4.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓92.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 10 to 7 computations (30% 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))

rewrite54.0ms (0.5%)

Algorithm
1×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
1×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))))

simplify56.0ms (0.5%)

Algorithm
1×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
1×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))

eval7.0ms (0.1%)

Compiler

Compiled 337 to 270 computations (19.9% saved)

prune10.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New20626
Fresh000
Picked011
Done000
Total20727
Accurracy
6.1%
Counts
27 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.1%
(/.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))))))
6.1%
(/.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))))
▶6.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶6.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶6.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
▶6.1%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓6.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 187 to 156 computations (16.6% saved)

localize58.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(+.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)))))
✓98.5%
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
✓98.4%
(pow.f64 (*.f64 (PI.f64) 1/2) 3)
✓95.1%
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
Compiler

Compiled 116 to 84 computations (27.6% saved)

series5.0ms (0%)

Counts
4 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
1.0ms
x
@0
(+.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)))))
1.0ms
x
@inf
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
1.0ms
x
@-inf
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
0.0ms
x
@-inf
(+.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)))))

rewrite107.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
960×fma-neg
778×expm1-udef
770×log1p-udef
474×add-sqr-sqrt
464×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022122
1484122
26271122
Stop Event
1×node limit
Counts
4 → 139
Calls
Call 1
Inputs
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(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)))))
Outputs
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1))
(+.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(*.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
(*.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))) 3))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))) 3)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
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(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 1 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))

simplify100.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1392×unswap-sqr
1328×cancel-sign-sub-inv
1258×fma-neg
884×times-frac
398×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03198075
17647947
227317879
Stop Event
1×node limit
Counts
167 → 167
Calls
Call 1
Inputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1))
(+.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(*.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
(*.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))) 3))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))) 3)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (+.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))) 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))) 3))))
(/.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) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (-.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(pow.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(fma.f64 (PI.f64) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 1 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 1 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (PI.f64)) 1/2 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/2) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 1)
(*.f64 (PI.f64) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 1)
(*.f64 1 (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (pow.f64 (PI.f64) 3) 1/8)
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (PI.f64)) 1/2)
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/2) (PI.f64))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(exp.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))) 1)
(-.f64 (/.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1)
(*.f64 (cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 2) (cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 6)) (/.f64 1 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))))
(*.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 1 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))))) (+.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 6)) (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 6)) (+.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 6))) (neg.f64 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2))) (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2) (*.f64 1/16 (pow.f64 (PI.f64) 4))) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 3)
(pow.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3) 1/3)
(pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 2))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 1 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
Outputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
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(pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2)
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(sqrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 2))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(cbrt.f64 (pow.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 3))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(expm1.f64 (log1p.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(exp.f64 (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 1))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log1p.f64 (expm1.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))

localize10.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓94.9%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
92.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 24 to 19 computations (20.8% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite70.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1192×unpow-prod-down
826×prod-diff
810×log-prod
730×fma-def
486×pow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120711
2294311
Stop Event
1×node limit
Counts
1 → 101
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
Outputs
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (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 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) 1))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) 1) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (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 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) -1)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1))
(hypot.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(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 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 (acos.f64 (-.f64 1 x)) 1 0)
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) -1)
(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 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) -1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (hypot.f64 1 (sqrt.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)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(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 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 0)
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)

simplify63.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1060×fma-neg
1016×cancel-sign-sub-inv
854×distribute-lft-in
806×distribute-rgt-in
652×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02673325
16303185
220133147
Stop Event
1×node limit
Counts
113 → 121
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (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 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) 1))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) 1) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (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 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) -1)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1))
(hypot.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(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 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 (acos.f64 (-.f64 1 x)) 1 0)
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) -1)
(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 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) -1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (hypot.f64 1 (sqrt.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)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(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 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 0)
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.f64 (-.f64 1 x))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(*.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 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) 1))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) 1) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(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 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(acos.f64 (-.f64 1 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) -1)
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))) -1)
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1))
(acos.f64 (-.f64 1 x))
(hypot.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))))
(hypot.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(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 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.f64 (-.f64 1 x))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 -1)
(acos.f64 (-.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) -1)
(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 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) -1)
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) -1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) 0)
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 0)
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(acos.f64 (-.f64 1 x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(acos.f64 (-.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 0)
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(acos.f64 (-.f64 1 x))

localize22.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓98.8%
(asin.f64 (-.f64 1 x))
✓94.9%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
Compiler

Compiled 23 to 17 computations (26.1% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
0.0ms
x
@-inf
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
0.0ms
x
@inf
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
0.0ms
x
@-inf
(asin.f64 (-.f64 1 x))
0.0ms
x
@inf
(asin.f64 (-.f64 1 x))

rewrite77.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1128×log-prod
762×fma-def
668×pow-prod-down
562×pow-prod-up
550×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01236
125622
2328822
Stop Event
1×node limit
Counts
2 → 153
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.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)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 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 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (neg.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (-.f64 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2)) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) -1)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.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))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 1 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
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(fma.f64 (acos.f64 (-.f64 1 x)) 1 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.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))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (neg.f64 (asin.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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.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))))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (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 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 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))))
(fma.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (-.f64 (PI.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))))
(fma.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 -1 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(fma.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)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.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)))) (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))))
(fma.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 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.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)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))

simplify86.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
738×unswap-sqr
706×distribute-lft-in
626×distribute-rgt-in
532×fma-neg
442×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03015895
16605031
221273899
Stop Event
1×node limit
Counts
169 → 175
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
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(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (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))
(+.f64 (*.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))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.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)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (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 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(/.f64 1 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 1 (/.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (neg.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (neg.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (-.f64 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.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 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (PI.f64) (*.f64 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))))))
(/.f64 (-.f64 (*.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 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.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)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2)) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2)) (-.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (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 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
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(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(fma.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 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))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(fma.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(fma.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (-.f64 (PI.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)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(fma.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (-.f64 (PI.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)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(fma.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(acos.f64 (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 -1 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.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)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.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)))) (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))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.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 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(asin.f64 (-.f64 1 x))
(*.f64 1 (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(asin.f64 (-.f64 1 x))
(*.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 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.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 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (acos.f64 (-.f64 1 x)))))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(asin.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(asin.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
(asin.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(asin.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(asin.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(asin.f64 (-.f64 1 x))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(asin.f64 (-.f64 1 x))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (acos.f64 (-.f64 1 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(asin.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1/3))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 3) 1/3))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(asin.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log.f64 (acos.f64 (-.f64 1 x)))
✓99.6%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
92.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 21 to 16 computations (23.8% saved)

series50.0ms (0.4%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
24.0ms
x
@0
(log.f64 (acos.f64 (-.f64 1 x)))
15.0ms
x
@inf
(log.f64 (acos.f64 (-.f64 1 x)))
11.0ms
x
@-inf
(log.f64 (acos.f64 (-.f64 1 x)))
0.0ms
x
@0
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
0.0ms
x
@-inf
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))

rewrite64.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1616×pow1
1492×add-exp-log
1490×log1p-expm1-u
1490×expm1-log1p-u
1462×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
116926
2198126
Stop Event
1×node limit
Counts
2 → 42
Calls
Call 1
Inputs
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
Outputs
(+.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(+.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 (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)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(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))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(+.f64 0 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 1 (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))

simplify50.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1002×log-prod
982×associate-*r*
836×associate-*l*
674×fma-def
642×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
098998
1218994
2783994
34565950
Stop Event
1×node limit
Counts
58 → 53
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)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(+.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 (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)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(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))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(+.f64 0 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 1 (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
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))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(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 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (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 (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 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 (PI.f64) (*.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 (*.f64 (PI.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 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 1/4 (PI.f64))) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 1 (-.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 (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)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(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))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 0 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) 1)
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 1 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 3)
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3)
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)
(log.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))
(log.f64 (acos.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(log.f64 (acos.f64 (-.f64 1 x)))

localize10.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓94.9%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
92.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 21 to 16 computations (23.8% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1616×pow1
1492×add-exp-log
1490×log1p-expm1-u
1490×expm1-log1p-u
1462×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
117011
2198211
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
Outputs
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (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))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))

simplify63.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1994×fma-def
1328×distribute-lft-in
1116×distribute-rgt-in
610×log-prod
520×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069631
1161599
2547599
32651555
47804555
Stop Event
1×node limit
Counts
35 → 36
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (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))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(-.f64 (*.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))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (pow.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 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (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 (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 1/4 (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) (*.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 (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 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 1/4 (PI.f64))) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 1 (-.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))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))

eval281.0ms (2.4%)

Compiler

Compiled 14247 to 11442 computations (19.7% saved)

prune119.0ms (1%)

Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New60327630
Fresh101
Picked011
Done145
Total60532637
Accurracy
9.8%
Counts
637 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.2%
(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))))
9.6%
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
9.5%
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.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))))
4.2%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
9.6%
(fma.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)))) (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))))
6.1%
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
▶6.1%
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1)
4.3%
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶9.6%
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.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))))))
9.6%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (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))))))
6.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))) (+.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))))))
6.1%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓6.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶9.5%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
9.6%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
9.5%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
9.6%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
9.6%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
6.1%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
✓6.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.1%
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
9.6%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
▶6.1%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
9.6%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
6.1%
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
6.1%
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
6.0%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
✓6.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.1%
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
▶6.1%
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓6.1%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓6.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1261 to 1074 computations (14.8% saved)

localize50.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.8%
(asin.f64 (-.f64 1 x))
98.5%
(+.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)))))
98.5%
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
✓7.5%
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
Compiler

Compiled 135 to 99 computations (26.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
0.0ms
x
@-inf
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
0.0ms
x
@inf
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))

rewrite120.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1506×log-prod
1288×prod-diff
616×expm1-udef
610×log1p-udef
482×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02051
141437
2464237
Stop Event
1×node limit
Counts
1 → 143
Calls
Call 1
Inputs
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
Outputs
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 1) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))))
(+.f64 (fma.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))))
(+.f64 (fma.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))))
(+.f64 (fma.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
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(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1))))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) 1)
(-.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 1 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 2) (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (sqrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))

simplify124.0ms (1%)

Algorithm
1×egg-herbie
Rules
954×fma-neg
864×distribute-lft-in
770×distribute-rgt-in
634×unswap-sqr
566×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039012127
110868535
234236839
Stop Event
1×node limit
Counts
155 → 172
Calls
Call 1
Inputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
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(+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
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(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) 1)
(-.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 1 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 2) (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (sqrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
Outputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2)))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2)))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2)))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2)))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2)))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 2)))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3))
(+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
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(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (+.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))))))
(/.f64 (+.f64 (*.f64 1/512 (pow.f64 (pow.f64 (PI.f64) 3) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/8)))))
(/.f64 (+.f64 (*.f64 1/512 (pow.f64 (pow.f64 (PI.f64) 3) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 1/8 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1)
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 3)
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3) 1/3)
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 2)
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 2))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (*.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (*.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(exp.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 1))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))

localize10.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓94.9%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
92.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 25 to 20 computations (20% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite69.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1212×unpow-prod-down
842×log-prod
676×prod-diff
646×fma-def
494×pow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01017
122511
2298411
Stop Event
1×node limit
Counts
1 → 84
Calls
Call 1
Inputs
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
Outputs
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 1))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.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 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 0) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) -1)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 0)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1 1)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 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 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 0)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(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 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)

simplify56.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1900×fma-def
856×associate-/r*
756×cancel-sign-sub-inv
606×distribute-lft-in
594×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02162856
15362734
217662522
Stop Event
1×node limit
Counts
96 → 100
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 1))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.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 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 0) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) -1)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 0)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1 1)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 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 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 0)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(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 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(*.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 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
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(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1)
(fma.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x)))))
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 0)
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(-.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 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(acos.f64 (-.f64 1 x))

localize17.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓99.6%
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
98.8%
(asin.f64 (-.f64 1 x))
94.9%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
Compiler

Compiled 42 to 32 computations (23.8% saved)

series56.0ms (0.5%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
31.0ms
x
@0
(log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
12.0ms
x
@inf
(log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
12.0ms
x
@-inf
(log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
0.0ms
x
@0
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
0.0ms
x
@-inf
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))

rewrite116.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1204×log-prod
772×fma-def
710×pow-prod-down
608×pow-prod-up
582×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01454
127926
2347426
Stop Event
1×node limit
Counts
2 → 170
Calls
Call 1
Inputs
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.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)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(*.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (neg.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (neg.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (E.f64))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(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)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (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 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (PI.f64)) 1/2)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (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))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 1 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 (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))))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (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))))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.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))))
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(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
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(fma.f64 (sqrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
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(-.f64 0 (log.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(-.f64 (log.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (log.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (log.f64 (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(-.f64 (log.f64 (neg.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))) (log.f64 (neg.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2)))) (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 1 (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2))
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))

simplify102.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
744×distribute-lft-in
700×distribute-rgt-in
606×unswap-sqr
418×sqr-pow
416×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03598416
17867832
222986982
Stop Event
1×node limit
Counts
194 → 208
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))))
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(log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))))
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(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (log.f64 (acos.f64 (-.f64 1 x))) 0)
(+.f64 0 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (log.f64 (/.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(+.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x))))) (log.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(-.f64 (log.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (log.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (log.f64 (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(-.f64 (log.f64 (neg.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))) (log.f64 (neg.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2)))) (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 1 (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2))
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))))
(log.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))))
(log.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))))
(log.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))))
(log.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))))
(log.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))))
(log.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))))
(log.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))))
(log.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(log.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(log.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(log.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(log.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.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))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.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 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 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)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 1/4) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.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 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 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)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
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(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (acos.f64 (-.f64 1 x))) 0)
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 0 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (log.f64 (/.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(+.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x))))) (log.f64 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (asin.f64 (-.f64 1 x))))) (log.f64 (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(log.f64 (acos.f64 (-.f64 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (log.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1)
(log.f64 (acos.f64 (-.f64 1 x)))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (log.f64 (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/8))) (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/4) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))))
(-.f64 (log.f64 (neg.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))) (log.f64 (neg.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
(log.f64 (acos.f64 (-.f64 1 x)))
(-.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x))))))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2)))) (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (neg.f64 (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 2)))) (log.f64 (-.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (log.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(*.f64 1 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 3 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 1/3 (log.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 3)
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2) 1/2)
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3)
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)
(log.f64 (acos.f64 (-.f64 1 x)))
(neg.f64 (log.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(neg.f64 (log.f64 (/.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(log.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))
(log.f64 (acos.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1) 1))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 3))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1/3))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2))
(log.f64 (acos.f64 (-.f64 1 x)))
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(log1p.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))))

localize32.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
✓99.9%
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
✓94.9%
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1)
92.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 82 to 69 computations (15.9% saved)

series6.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1)
2.0ms
x
@inf
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1)
2.0ms
x
@0
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1)
0.0ms
x
@-inf
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
0.0ms
x
@0
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))

rewrite92.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1456×log-prod
960×prod-diff
906×fma-def
610×expm1-udef
606×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016129
1354127
24429127
Stop Event
1×node limit
Counts
3 → 84
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
Outputs
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(+.f64 0 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1)
(+.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 1) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))) (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))) 1)
(*.f64 1 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(*.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) 1)
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) 2) (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 3) -1) (fma.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (-.f64 1 (*.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1))))
(/.f64 (fma.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1) (-.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1))
(pow.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) 2)
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) 2))
(log.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(exp.f64 (log.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(+.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(*.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 3))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(expm1.f64 (*.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1))
(exp.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(fma.f64 1 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) -1)
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) (hypot.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) -1)
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 9)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) -1)
(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 6)) (/.f64 1 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(+.f64 0 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(*.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) (cbrt.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(*.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -1/2) (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1))
(pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -1)
(pow.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))

simplify102.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1262×fma-def
874×unswap-sqr
734×exp-prod
714×times-frac
576×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02196278
14796112
213735902
369115902
Stop Event
1×node limit
Counts
112 → 111
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))) 1)
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)))) (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3) (+.f64 1 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))) 1)
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)))) (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3) (+.f64 1 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))) 1)
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)))) (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3) (+.f64 1 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))) 1)
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)))) (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3) (+.f64 1 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))) 1)
(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 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))
(/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))
(/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))
(/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))
(/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))
(/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))
(/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))
(/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))
(/.f64 1 (+.f64 1 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))
(/.f64 1 (+.f64 1 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))
(/.f64 1 (+.f64 1 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))
(/.f64 1 (+.f64 1 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(+.f64 0 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1)
(+.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 1) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))) (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))) 1)
(*.f64 1 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(*.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) 1)
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) 2) (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(*.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 3) -1) (fma.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (-.f64 1 (*.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1))))
(/.f64 (fma.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1) (-.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1))
(pow.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) 2)
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) 2))
(log.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))))
(cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(exp.f64 (log.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(+.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(*.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 3))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(expm1.f64 (*.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1))
(exp.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(fma.f64 1 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) -1)
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) (hypot.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) -1)
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 9)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) -1)
(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 6)) (/.f64 1 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(+.f64 0 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(*.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) (cbrt.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(*.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -1/2) (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1))
(pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -1)
(pow.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
Outputs
(-.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))) 1)
(+.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 1))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (+.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1))
(+.f64 -1 (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (/.f64 -1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(-.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))) 1)
(+.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 1))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (+.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1))
(+.f64 -1 (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (/.f64 -1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(-.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))) 1)
(+.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 1))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (+.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1))
(+.f64 -1 (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (/.f64 -1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(-.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (acos.f64 (-.f64 1 x)))))) 1)
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))))
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) 1)
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(*.f64 1 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(*.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 1)
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) (cbrt.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -2)) (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) (cbrt.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -2)) (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(*.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -1/2) (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -1/2))
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1))
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -1))
(pow.f64 (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -2)
(pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -1)
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(pow.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 1)
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))) 3)
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 3) 1/3)
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(pow.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -1/2) 2)
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(sqrt.f64 (pow.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) -2))
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 3))
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(exp.f64 (neg.f64 (log1p.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1))) -1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(exp.f64 (neg.f64 (log1p.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(exp.f64 (neg.f64 (log1p.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))

localize28.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.4%
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
✓98.4%
(cbrt.f64 (*.f64 (PI.f64) 1/2))
92.8%
(acos.f64 (-.f64 1 x))
✓7.7%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
Compiler

Compiled 67 to 53 computations (20.9% saved)

series11.0ms (0.1%)

Counts
3 → 12
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
4.0ms
x
@0
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
0.0ms
x
@inf
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))

rewrite100.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1416×log-prod
1102×fma-def
572×expm1-udef
568×log1p-udef
462×log-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01875
137843
2470743
Stop Event
1×node limit
Counts
3 → 199
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (*.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.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)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (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 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 -1 (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (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 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 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 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 0 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(neg.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
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(fabs.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 0 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))) (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))) 1)
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1)
(*.f64 1 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 1/4))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))))
(cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(exp.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))

simplify94.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
864×associate-/l*
752×distribute-lft-in
702×unswap-sqr
660×distribute-rgt-in
616×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03777111
18075287
224155101
Stop Event
1×node limit
Counts
211 → 240
Calls
Call 1
Inputs
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.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)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (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 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 -1 (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (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 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 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 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 0 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(neg.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.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))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 1 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (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))))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (acos.f64 (-.f64 1 x)) -1 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (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))))
(fma.f64 (acos.f64 (-.f64 1 x)) -1 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.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))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
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(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(exp.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
Outputs
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.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)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (*.f64 1/2 (PI.f64))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2))
(fma.f64 (PI.f64) -1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) -1)
(neg.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 -1 (acos.f64 (-.f64 1 x)))
(neg.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(/.f64 1 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 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 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 0 (acos.f64 (-.f64 1 x))))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (-.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(neg.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(neg.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
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(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) 1/2) 1/3)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/2)
(sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(fabs.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/3))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(+.f64 0 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))) (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))) 1)
(cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1)
(cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(*.f64 1 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 2))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 1/4))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (pow.f64 (*.f64 1/2 (PI.f64)) 1/6))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))))
(cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(exp.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))

eval796.0ms (6.7%)

Compiler

Compiled 44252 to 35956 computations (18.7% saved)

prune272.0ms (2.3%)

Pruning

41 alts after pruning (33 fresh and 8 done)

PrunedKeptTotal
New1396191415
Fresh81422
Picked011
Done279
Total1406411447
Accurracy
10.1%
Counts
1447 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.2%
(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))))
9.6%
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
4.2%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
9.5%
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))) -1)
9.6%
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
4.3%
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
9.6%
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
9.6%
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
9.6%
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
9.6%
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
▶9.7%
(/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (+.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))))))
9.7%
(/.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (+.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))))))
6.1%
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
✓6.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
4.2%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 5)) (asin.f64 (-.f64 1 x)))
9.5%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
4.2%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))))) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
9.5%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) (neg.f64 (acos.f64 (-.f64 1 x)))))
▶9.5%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
✓9.5%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
9.6%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
▶9.5%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
9.6%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
9.6%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
▶6.1%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
✓6.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.1%
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓6.1%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
9.6%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
6.1%
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
6.1%
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
6.0%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
✓6.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
▶6.1%
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
2.4%
(exp.f64 (log.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))))
9.6%
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
✓6.1%
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
6.0%
(exp.f64 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
6.1%
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
✓6.1%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓6.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1608 to 1382 computations (14.1% saved)

localize134.0ms (1.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.4%
(*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
✓98.4%
(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓7.5%
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x))))))
✓3.2%
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
Compiler

Compiled 387 to 307 computations (20.7% saved)

series6.0ms (0%)

Counts
4 → 24
Calls

6 calls:

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

rewrite91.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1946×log-prod
826×fma-def
694×expm1-udef
690×log1p-udef
456×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023280
147788
2564788
Stop Event
1×node limit
Counts
4 → 116
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(sqrt.f64 (*.f64 (PI.f64) 1/2))
(*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
Outputs
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 0 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))))
(-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 0 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))) 1)
(*.f64 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 5/2) (pow.f64 (asin.f64 (-.f64 1 x)) 5/2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 5/2) (fma.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0) 1)
(*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) 2) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (sqrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (-.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))
(pow.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 1) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) 1)
(-.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 1 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 2) (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(*.f64 (hypot.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (hypot.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3) (-.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 0 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (*.f64 1/2 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 (PI.f64) 1/2) 1/4))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(pow.f64 (*.f64 (PI.f64) 1/2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 0 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))) 1)
(pow.f64 (*.f64 (PI.f64) 1/2) 3/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 1)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))

simplify28.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
256×associate-*r*
204×associate-*l*
176×fma-def
124×sqr-pow
114×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0268206
1586206
22320206
Stop Event
1×unsound
Counts
140 → 122
Calls
Call 1
Inputs
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (PI.f64) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (PI.f64) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (PI.f64) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (PI.f64) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (PI.f64) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (PI.f64) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (PI.f64) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (PI.f64) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (PI.f64) 3))) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (PI.f64) 3))) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (PI.f64) 3))) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (PI.f64) 3))) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 0 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))))
(-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 0 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))) 1)
(*.f64 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 5/2) (pow.f64 (asin.f64 (-.f64 1 x)) 5/2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 5/2) (fma.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0) 1)
(*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) 2) (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (sqrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (-.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))
(pow.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 1) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) 1)
(-.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 1 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 2) (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(*.f64 (hypot.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (hypot.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3) (-.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(log.f64 (*.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(+.f64 0 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (*.f64 1/2 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 (PI.f64) 1/2) 1/4))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(pow.f64 (*.f64 (PI.f64) 1/2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 0 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))) 1)
(pow.f64 (*.f64 (PI.f64) 1/2) 3/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 1)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))
Outputs
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
0
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
0
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0
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) 2)
0
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3))
0
(log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))
0
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))))
0
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 3))
0
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))
0
(exp.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))
0
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) 1))
0
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)))
0

localize12.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
✓95.4%
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
92.8%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 31 to 25 computations (19.4% saved)

series16.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@0
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
5.0ms
x
@-inf
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
5.0ms
x
@inf
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
0.0ms
x
@0
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
0.0ms
x
@-inf
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))

rewrite67.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1132×unpow-prod-down
828×log-prod
616×prod-diff
484×prod-exp
480×pow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01046
121326
2273026
Stop Event
1×node limit
Counts
2 → 129
Calls
Call 1
Inputs
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
Outputs
(+.f64 (log.f64 (acos.f64 (-.f64 1 x))) 0)
(+.f64 0 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (log.f64 (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (log.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 1 (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) 2) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (E.f64))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(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)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) 1) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))) (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1 1)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x))))) 1)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (+.f64 1 (acos.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 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)

simplify67.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1256×distribute-lft-in
1184×distribute-rgt-in
1140×unswap-sqr
590×associate-+r+
560×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03154313
17404201
222754171
Stop Event
1×node limit
Counts
153 → 162
Calls
Call 1
Inputs
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(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 (log.f64 (acos.f64 (-.f64 1 x))) 0)
(+.f64 0 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (log.f64 (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (log.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 1 (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/3 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) 2) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (E.f64))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(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)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) 1) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))) (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1 1)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x))))) 1)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (+.f64 1 (acos.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 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
Outputs
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(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 (log.f64 (acos.f64 (-.f64 1 x))) 0)
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 0 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (acos.f64 (-.f64 1 x)))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (log1p.f64 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (log.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (log1p.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1)
(log.f64 (acos.f64 (-.f64 1 x)))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (log.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (log.f64 (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (log.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (log.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 1 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 3 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 1/3 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 3))
(log.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 8)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 3)
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2) 1/2)
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3)
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)
(log.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))
(log.f64 (acos.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1) 1))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 3))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1/3))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2))
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (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 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(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 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(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 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1))
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) 2) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (E.f64))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 2 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (*.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) 1) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1) (sqrt.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)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2)))) (sqrt.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 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 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1 1)
(acos.f64 (-.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(acos.f64 (-.f64 1 x))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x))))) 1)
(fma.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x)))))
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 -1)
(acos.f64 (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(acos.f64 (-.f64 1 x))
(fma.f64 (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))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(acos.f64 (-.f64 1 x))

localize31.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.8%
(asin.f64 (-.f64 1 x))
✓98.5%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
✓98.5%
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
✓7.7%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
Compiler

Compiled 56 to 46 computations (17.9% saved)

series70.0ms (0.6%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
43.0ms
x
@-inf
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
13.0ms
x
@0
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
13.0ms
x
@inf
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
0.0ms
x
@0
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
0.0ms
x
@-inf
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))

rewrite96.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1468×log-prod
1084×fma-def
686×pow-exp
584×expm1-udef
578×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01791
135741
2445241
Stop Event
1×node limit
Counts
3 → 239
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (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)) (*.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
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(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))

simplify117.0ms (1%)

Algorithm
1×egg-herbie
Rules
864×fma-neg
774×unswap-sqr
564×distribute-lft-neg-in
562×distribute-rgt-neg-in
542×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045810851
110438405
231023299
Stop Event
1×node limit
Counts
275 → 279
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (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)) (*.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (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 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 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (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 1 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 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))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (*.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) (-.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (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)
(pow.f64 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) -1)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))) (exp.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (PI.f64) 1/2 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1/2 (PI.f64) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(fma.f64 3 (neg.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.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))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (*.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(fma.f64 1 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(fma.f64 1 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (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))))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 (*.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 (+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
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(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(exp.f64 (*.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (asin.f64 (-.f64 1 x))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) (*.f64 2/3 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) 0)
(+.f64 0 (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/2 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x))) (*.f64 1/3 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))) 1)) (*.f64 1/3 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x))))))) (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/6))) (*.f64 1/6 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.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 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (asin.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.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 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 0 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
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(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (E.f64) (*.f64 1/3 (asin.f64 (-.f64 1 x))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) 3)
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/6) 2)
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(sqrt.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(exp.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(exp.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(exp.f64 (*.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3) 1))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) 3))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(exp.f64 (*.f64 (*.f64 1/6 (asin.f64 (-.f64 1 x))) 2))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
1
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) (*.f64 2/3 (asin.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(+.f64 (asin.f64 (-.f64 1 x)) 0)
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(+.f64 0 (asin.f64 (-.f64 1 x)))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(+.f64 (*.f64 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(+.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x))) (*.f64 1/3 (asin.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))) 1)) (*.f64 1/3 (asin.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x))))))) (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (asin.f64 (-.f64 1 x))) 1/6))) (*.f64 1/6 (asin.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.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 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(log.f64 (*.f64 (exp.f64 (*.f64 2/3 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x)))))))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1/3))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 3) 1/3))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
(asin.f64 (-.f64 1 x))
0
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (acos.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (acos.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3))
0

localize23.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.4%
(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓98.4%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
92.8%
(acos.f64 (-.f64 1 x))
✓7.7%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
Compiler

Compiled 56 to 43 computations (23.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
0.0ms
x
@inf
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
0.0ms
x
@-inf
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
0.0ms
x
@-inf
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
0.0ms
x
@0
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))

rewrite81.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1328×log-prod
1060×fma-def
650×pow-exp
526×expm1-udef
522×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01672
133622
2432922
Stop Event
1×node limit
Counts
2 → 201
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (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) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.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)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (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 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (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 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(*.f64 -1 (acos.f64 (-.f64 1 x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (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 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
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(fma.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)))) (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))))
(fma.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 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (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))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.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))))
(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.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))))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.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))))
(fma.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(-.f64 (fma.f64 (PI.f64) 1/2 0) (acos.f64 (-.f64 1 x)))
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.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 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))

simplify93.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
688×unswap-sqr
674×distribute-lft-in
634×distribute-rgt-in
572×associate-/r*
562×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03837691
18566297
224705187
Stop Event
1×node limit
Counts
225 → 236
Calls
Call 1
Inputs
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (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) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.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)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (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 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (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 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(*.f64 -1 (acos.f64 (-.f64 1 x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (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 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.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))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 0 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
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(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.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))))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.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))))
(fma.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(-.f64 (fma.f64 (PI.f64) 1/2 0) (acos.f64 (-.f64 1 x)))
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.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 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
Outputs
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.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 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(acos.f64 (-.f64 1 x))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (*.f64 1/2 (PI.f64))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2))
(fma.f64 (PI.f64) -1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 1 (acos.f64 (-.f64 1 x)))
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(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))))) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))))) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))))) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (*.f64 1/2 (PI.f64))))) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))))) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 1/2 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (PI.f64)))) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 1/2 (PI.f64)))) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (PI.f64)))) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(asin.f64 (-.f64 1 x))
(-.f64 (fma.f64 (PI.f64) 1/2 0) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(asin.f64 (-.f64 1 x))
(*.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 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.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 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2)))))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(asin.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(asin.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(asin.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(asin.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(asin.f64 (-.f64 1 x))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(asin.f64 (-.f64 1 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(log.f64 (*.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(log.f64 (*.f64 (exp.f64 (acos.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(asin.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1/3))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 3) 1/3))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(asin.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))

localize37.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.4%
(cbrt.f64 (*.f64 (PI.f64) 1/2))
94.9%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
92.8%
(acos.f64 (-.f64 1 x))
✓7.7%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
Compiler

Compiled 84 to 68 computations (19% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
0.0ms
x
@-inf
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
0.0ms
x
@inf
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))

rewrite78.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1494×log-prod
1134×fma-def
600×expm1-udef
596×log1p-udef
394×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02043
140411
2490911
Stop Event
1×node limit
Counts
1 → 149
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 (exp.f64 (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) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 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)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 -1 (acos.f64 (-.f64 1 x)))
(*.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 (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 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (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))))
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(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.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))))
(fma.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))

simplify96.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1662×div-sub
1540×fma-def
638×associate-/l*
384×unswap-sqr
364×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02915591
16674007
216744003
363714003
Stop Event
1×node limit
Counts
161 → 166
Calls
Call 1
Inputs
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 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)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(*.f64 -1 (acos.f64 (-.f64 1 x)))
(*.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 (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 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (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 (*.f64 1/8 (pow.f64 (PI.f64) 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 1/4 (pow.f64 (PI.f64) 2))))
(/.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 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (neg.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 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 0 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(neg.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (neg.f64 (asin.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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.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))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 1 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (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))))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (acos.f64 (-.f64 1 x)) -1 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (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))))
(fma.f64 (acos.f64 (-.f64 1 x)) -1 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.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))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.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))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.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))))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (sqrt.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))))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (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 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (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))))
(fma.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 -1 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(fma.f64 -1 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.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))))
(fma.f64 -1 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.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)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.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)))) (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))))
(fma.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 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (neg.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.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)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.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)))) (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))))
(fma.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 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (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))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.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))))
(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.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))))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.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))))
(fma.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
Outputs
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.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)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64))))
(acos.f64 (-.f64 1 x))
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(fma.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)))) (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 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.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 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (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))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (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))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(fma.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.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))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.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))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(neg.f64 (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2))) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))

eval665.0ms (5.6%)

Compiler

Compiled 37134 to 30266 computations (18.5% saved)

prune202.0ms (1.7%)

Pruning

43 alts after pruning (31 fresh and 12 done)

PrunedKeptTotal
New1305101315
Fresh72128
Picked011
Done11112
Total1313431356
Accurracy
10.1%
Counts
1356 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.6%
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (asin.f64 (-.f64 1 x))))
6.1%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
9.6%
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
4.2%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
9.5%
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))) -1)
9.6%
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
4.3%
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
9.6%
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
✓9.7%
(/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (+.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))))))
9.7%
(/.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (+.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))))))
6.1%
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
✓6.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
4.2%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 5)) (asin.f64 (-.f64 1 x)))
9.5%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
9.5%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
4.2%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))))) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
9.5%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) (neg.f64 (acos.f64 (-.f64 1 x)))))
✓9.5%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
✓9.5%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
9.6%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
6.1%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
6.0%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))))
9.6%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) 3)))))
6.1%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))))
9.5%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))))
✓6.1%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
✓6.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.1%
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓6.1%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
9.6%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
6.1%
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
6.1%
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
6.0%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
6.8%
(*.f64 1/2 (PI.f64))
✓6.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓6.1%
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
2.4%
(exp.f64 (log.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))))
9.6%
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
✓6.1%
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
6.0%
(exp.f64 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
6.1%
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
✓6.1%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓6.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 810 to 709 computations (12.5% saved)

regimes69.0ms (0.6%)

Counts
63 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (PI.f64))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log1p.f64 (-.f64 (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)
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) 3)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -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))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 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))))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (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 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 5)) (asin.f64 (-.f64 1 x)))
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))) -1)
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (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) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))))) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))) (+.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 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (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 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.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))))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.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 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(fma.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)))) (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 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (+.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 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (+.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))))))
Outputs
(/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (+.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))))))
Calls

3 calls:

27.0ms
x
6.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.7%1x
9.7%1(acos.f64 (-.f64 1 x))
9.7%1(-.f64 1 x)
Compiler

Compiled 1377 to 1122 computations (18.5% saved)

regimes66.0ms (0.6%)

Counts
62 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (PI.f64))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log1p.f64 (-.f64 (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)
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) 3)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -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))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 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))))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (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 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 5)) (asin.f64 (-.f64 1 x)))
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))) -1)
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (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) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))))) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))) (+.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 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (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 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.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))))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.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 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(fma.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)))) (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 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (+.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 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
Outputs
(/.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (+.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))))))
Calls

3 calls:

26.0ms
x
7.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.7%1x
9.7%1(acos.f64 (-.f64 1 x))
9.7%1(-.f64 1 x)
Compiler

Compiled 1284 to 1048 computations (18.4% saved)

regimes60.0ms (0.5%)

Counts
59 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (PI.f64))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log1p.f64 (-.f64 (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)
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) 3)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -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))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 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))))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (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 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 5)) (asin.f64 (-.f64 1 x)))
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))) -1)
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (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) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))))) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))) (+.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 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (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 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.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))))))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.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 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (exp.f64 (log.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))
(fma.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)))) (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
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (asin.f64 (-.f64 1 x))))
Calls

3 calls:

24.0ms
x
7.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.6%1x
9.6%1(acos.f64 (-.f64 1 x))
9.6%1(-.f64 1 x)
Compiler

Compiled 1079 to 880 computations (18.4% saved)

regimes39.0ms (0.3%)

Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (PI.f64))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log1p.f64 (-.f64 (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)
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) 3)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -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))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 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))))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
Outputs
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
Calls

3 calls:

18.0ms
x
5.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.6%1x
9.6%1(acos.f64 (-.f64 1 x))
9.6%1(-.f64 1 x)
Compiler

Compiled 557 to 459 computations (17.6% saved)

regimes36.0ms (0.3%)

Counts
38 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (PI.f64))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log1p.f64 (-.f64 (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)
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) 3)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -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))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 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))))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Outputs
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Calls

3 calls:

16.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.6%1x
9.6%1(acos.f64 (-.f64 1 x))
9.6%1(-.f64 1 x)
Compiler

Compiled 502 to 418 computations (16.7% saved)

regimes35.0ms (0.3%)

Counts
37 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (PI.f64))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log1p.f64 (-.f64 (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)
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) 3)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) -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))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (asin.f64 (-.f64 1 x)))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 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))))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))))
Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) 3)))))
Calls

3 calls:

15.0ms
x
5.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.6%1x
9.6%1(acos.f64 (-.f64 1 x))
9.6%1(-.f64 1 x)
Compiler

Compiled 485 to 405 computations (16.5% saved)

regimes19.0ms (0.2%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (PI.f64))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log1p.f64 (-.f64 (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)
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
Outputs
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
Calls

3 calls:

8.0ms
x
4.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.6%1x
9.6%1(acos.f64 (-.f64 1 x))
9.6%1(-.f64 1 x)
Compiler

Compiled 173 to 146 computations (15.6% saved)

regimes20.0ms (0.2%)

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

3 calls:

11.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
8.7%2x
8.7%2(acos.f64 (-.f64 1 x))
8.7%2(-.f64 1 x)
Compiler

Compiled 95 to 80 computations (15.8% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
6.828569911354543e-8
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes13.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 1/2 (PI.f64))
(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 (acos.f64 (-.f64 1 x)) -1) 1)
(*.f64 1/2 (PI.f64))
Calls

3 calls:

6.0ms
x
3.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
8.7%2x
8.7%2(acos.f64 (-.f64 1 x))
8.7%2(-.f64 1 x)
Compiler

Compiled 35 to 29 computations (17.1% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.9999999999999977
1.0
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes11.0ms (0.1%)

Accuracy

Total -2.9b remaining (-4.9%)

Threshold costs -2.9b (-4.9%)

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

3 calls:

5.0ms
x
3.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
8.7%2x
8.7%2(acos.f64 (-.f64 1 x))
8.7%2(-.f64 1 x)
Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.0
6.828569911354543e-8
Results
13.0ms224×body256valid
Compiler

Compiled 121 to 105 computations (13.2% saved)

simplify21.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
54×*-commutative
36×+-commutative
28×sub-neg
22×neg-mul-1
22×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079951
1130951
2170951
3188951
4198951
5199951
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (+.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 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (+.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))))))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) 3)))))
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) (*.f64 1/2 (PI.f64)))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
Outputs
(/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (+.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 (fma.f64 (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (*.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (fma.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (+.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 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (+.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 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (*.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.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))))))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/4)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (asin.f64 (-.f64 1 x)))) 3)))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 3 (log.f64 (exp.f64 (*.f64 3 (*.f64 1/3 (*.f64 (asin.f64 (-.f64 1 x)) 1/3)))))))
(fma.f64 (*.f64 1/3 (asin.f64 (-.f64 1 x))) -3 (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1/3) -3 (*.f64 (PI.f64) 1/2))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) (*.f64 1/2 (PI.f64)))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (*.f64 (PI.f64) 1/2))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(*.f64 1/2 (PI.f64))
(*.f64 (PI.f64) 1/2)
Compiler

Compiled 308 to 263 computations (14.6% saved)

soundness3.5s (29.4%)

Rules
1506×log-prod
1506×log-prod
1478×pow1
1478×pow1
1478×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114611
2179511
060396
1147392
2495392
32261392
45297392
022122
1484122
26271122
02051
141437
2464237
0711
114611
2179511
060396
1147392
2495392
32261392
45297392
01236
125622
2328822
03015895
16605031
221273899
045810851
110438405
231023299
0711
114611
2179511
0923
120711
2294311
01791
135741
2445241
01791
135741
2445241
01236
125622
2328822
01875
137843
2470743
03777111
18075287
224155101
01236
125622
2328822
01672
133622
2432922
02051
141437
2464237
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 3278 to 2622 computations (20% saved)

end152.0ms (1.3%)

Compiler

Compiled 298 to 241 computations (19.1% saved)

Profiling

Loading profile data...