Details

Time bar (total: 12.4s)

analyze1.0ms (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)

sample2.3s (18.5%)

Results
1.4s4126×body1024valid
503.0ms2093×body512valid
199.0ms1684×body256valid
141.0ms353×body2048valid
Bogosity

preprocess13.0ms (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)

simplify12.0ms (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
6.5%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.5%
(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
✓91.0%
(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
@0
(acos.f64 (-.f64 1 x))
0.0ms
x
@-inf
(acos.f64 (-.f64 1 x))
0.0ms
x
@inf
(acos.f64 (-.f64 1 x))

rewrite53.0ms (0.4%)

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))))

simplify54.0ms (0.4%)

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)

prune16.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New20626
Fresh000
Picked011
Done000
Total20727
Accurracy
6.5%
Counts
27 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.5%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
6.5%
(/.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))))))
▶6.5%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶6.5%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶6.5%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶6.5%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓6.5%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 189 to 158 computations (16.4% saved)

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(cbrt.f64 (acos.f64 (-.f64 1 x)))
✓99.9%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
91.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 23 to 18 computations (21.7% saved)

series7.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite61.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1790×pow1
1670×add-exp-log
1668×log1p-expm1-u
1668×expm1-log1p-u
1640×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
121126
2227026
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(cbrt.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) (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 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (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 (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 (acos.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(/.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))))
(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))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))

simplify54.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1734×fma-def
964×unswap-sqr
856×log-prod
828×exp-prod
750×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01041071
12391067
27201067
329471007
Stop Event
1×node limit
Counts
67 → 54
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(+.f64 (*.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 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (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 (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 (acos.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(/.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))))
(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))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
Outputs
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (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 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.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 (acos.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (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 (acos.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(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 (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 (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))))
(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))
(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))
(-.f64 (+.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/6) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 2)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 1 (acos.f64 (-.f64 1 x)))
✓94.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
91.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 24 to 19 computations (20.8% saved)

series0.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite87.0ms (0.7%)

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
0940
120728
2294328
Stop Event
1×node limit
Counts
2 → 176
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 1 (acos.f64 (-.f64 1 x)))
Outputs
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 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)))
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(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 5/2) 1/3) (pow.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2))
(/.f64 1 (/.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.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)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (neg.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (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)) 2)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2)
(pow.f64 (/.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 1)))
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2) -1)
(fma.f64 (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) 1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 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))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 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 (-.f64 (asin.f64 (-.f64 1 x)) 1)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1)
(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 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1)
(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))))) 1)

simplify96.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1464×fma-neg
570×distribute-rgt-neg-in
566×distribute-lft-neg-in
496×sqr-pow
486×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04035912
19455728
232555716
Stop Event
1×node limit
Counts
192 → 210
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 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (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)
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 1))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) 1))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2))
(*.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) 1))
(*.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)))
(*.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (pow.f64 (/.f64 1 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) 1))
(*.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 5/2) 1/3) (pow.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2) (pow.f64 (sqrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2))
(/.f64 1 (/.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.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)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (neg.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (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)) 2)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2)
(pow.f64 (/.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 1)))
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2) -1)
(fma.f64 (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) 1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 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))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 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 (-.f64 (asin.f64 (-.f64 1 x)) 1)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1)
(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 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1)
(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))))) 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 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (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)))
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(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
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(expm1.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x)))) 2))
(exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 1)
(+.f64 1 (acos.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 1)
(-.f64 (fma.f64 (PI.f64) 1/2 1) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2) -1)
(+.f64 1 (acos.f64 (-.f64 1 x)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 1)
(+.f64 1 (acos.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1)
(+.f64 1 (acos.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(+.f64 1 (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)
(+.f64 1 (acos.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 1)
(-.f64 (fma.f64 (PI.f64) 1/2 1) (asin.f64 (-.f64 1 x)))
(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))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1 -1)
(+.f64 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 (-.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 1)
(-.f64 (fma.f64 (PI.f64) 1/2 1) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1)
(+.f64 1 (acos.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)) 1)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 1)
(-.f64 (fma.f64 (PI.f64) 1/2 1) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1)
(+.f64 1 (acos.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))))) 1)
(fma.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))))) 1)

localize10.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓98.2%
(asin.f64 (-.f64 1 x))
✓94.0%
(-.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
@0
(asin.f64 (-.f64 1 x))

rewrite76.0ms (0.6%)

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))))
(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 (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))))

simplify81.0ms (0.6%)

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)))
(+.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))))
(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 (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))))
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))))
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(-.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 2 expressions with local accuracy:

NewAccuracyProgram
✓93.9%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
91.0%
(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))))

rewrite54.0ms (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))))

simplify82.0ms (0.7%)

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))

localize32.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓99.9%
(*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
98.2%
(asin.f64 (-.f64 1 x))
✓93.9%
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
Compiler

Compiled 82 to 62 computations (24.4% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
1.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
0.0ms
x
@inf
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))

rewrite141.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1952×fma-def
834×fma-neg
636×expm1-udef
632×log1p-udef
380×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016117
136565
2532665
Stop Event
1×node limit
Counts
3 → 379
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
Outputs
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))))
(*.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (*.f64 (PI.f64) 1/2) 4))))
(*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 1 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(/.f64 1 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (*.f64 (PI.f64) 1/2) 4)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (neg.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (*.f64 (PI.f64) 1/2) 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (neg.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (-.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2) (-.f64 (*.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2) (*.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (-.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (acos.f64 (-.f64 1 x))) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) 1/3)
(pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) 1/4) (/.f64 1 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (exp.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 1 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (exp.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) 1/4)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) 1/4)))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 1 (expm1.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) 1/4) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))
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(fma.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1) (/.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (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 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (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 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (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 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.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 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.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 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.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 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (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 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (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 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (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 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (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 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (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 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (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 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (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 (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 (*.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 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(fma.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(fma.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)) (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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))

simplify233.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1324×fma-neg
668×div-sub
522×fma-udef
456×associate-*r*
452×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065728947
1153325627
2523224381
Stop Event
1×node limit
Counts
415 → 525
Calls
Call 1
Inputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (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 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (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 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (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 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (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 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (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 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (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 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (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 (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 (*.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 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(fma.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(fma.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)) (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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
Outputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (fma.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))))
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(fma.f64 2 (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
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(fma.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
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(fma.f64 1/4 (pow.f64 (PI.f64) 2) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (fma.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
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(fma.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (*.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))
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(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))) (exp.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))) (exp.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)) (*.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))
(log.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))) (exp.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)) (*.f64 2 (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))) (exp.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))) (exp.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))) (*.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))
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(fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))) (+.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
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(-.f64 (/.f64 (*.f64 1/4 (fma.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (PI.f64) 2))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
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(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
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(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))))
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(fma.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2)) (*.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 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 0 (asin.f64 (-.f64 1 x))))
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(fma.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2)) (*.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 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 0 (asin.f64 (-.f64 1 x))))
(fma.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 0 (asin.f64 (-.f64 1 x))))

eval926.0ms (7.5%)

Compiler

Compiled 33122 to 27100 computations (18.2% saved)

prune223.0ms (1.8%)

Pruning

39 alts after pruning (34 fresh and 5 done)

PrunedKeptTotal
New1209341243
Fresh101
Picked101
Done055
Total1211391250
Accurracy
10.6%
Counts
1250 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.7%
(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))))
10.1%
(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))
4.7%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
10.3%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 1/4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
10.2%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
2.8%
(fma.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
▶10.3%
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (PI.f64)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
10.1%
(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))))
10.2%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
4.7%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.5%
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1) 3)
6.5%
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
✓6.5%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
10.3%
(/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.1%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.1%
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
6.5%
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
▶6.5%
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
✓6.5%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.5%
(-.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3)) 1)
6.5%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)) 1)
▶6.5%
(-.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) 1)
2.8%
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
10.1%
(-.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 (acos.f64 (-.f64 1 x)))))
10.1%
(-.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)))))
10.2%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
▶10.1%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
10.1%
(-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
4.7%
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓6.5%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.5%
(+.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)))))))
10.2%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.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)))))))
▶6.5%
(+.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))))))
10.1%
(+.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))))
6.5%
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
6.5%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
6.5%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓6.5%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓6.5%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1652 to 1425 computations (13.7% saved)

localize55.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(*.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (PI.f64))
✓98.5%
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
98.2%
(asin.f64 (-.f64 1 x))
✓9.2%
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (PI.f64)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
Compiler

Compiled 127 to 98 computations (22.8% saved)

series11.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
6.0ms
x
@0
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (PI.f64)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
2.0ms
x
@-inf
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (PI.f64)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
2.0ms
x
@inf
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (PI.f64)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
0.0ms
x
@-inf
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
0.0ms
x
@-inf
(*.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (PI.f64))

rewrite242.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1166×prod-diff
756×expm1-udef
750×log1p-udef
460×add-sqr-sqrt
446×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022197
1468163
25911163
Stop Event
1×node limit
Counts
3 → 342
Calls
Call 1
Inputs
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (PI.f64)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1/4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (PI.f64))
Outputs
(+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (PI.f64) (*.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) -1/2) (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (PI.f64) (*.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) -1/2) (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (PI.f64) (*.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) -1/2) (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (PI.f64) (*.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) -1/2) (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (PI.f64)) -1)
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) 1)
(/.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 4))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/4)))
(/.f64 1/4 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (PI.f64)))
(/.f64 (*.f64 (PI.f64) 1/4) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (PI.f64) -1/4) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 -1/4 (PI.f64)) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/4) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))

simplify508.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
1304×fma-neg
908×associate-+r+
896×associate-+l+
726×+-commutative
404×fma-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076783976
1183466536
2651366294
Stop Event
1×node limit
Counts
378 → 555
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
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(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (PI.f64))
(*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64)))
(*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64)))
(*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64)))
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(*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64)))
(*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (PI.f64)))
(*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (PI.f64)))
(*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (PI.f64)))
(*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (PI.f64)))
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(+.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
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(+.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3)) (+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) 1)
(*.f64 (PI.f64) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) -1/2))
(*.f64 1 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) -1/2)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) -1/2)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) -1/2) (PI.f64))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 1 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (PI.f64) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (PI.f64)) -1)
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) 1)
(/.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 4))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/4)))
(/.f64 1/4 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (PI.f64)))
(/.f64 (*.f64 (PI.f64) 1/4) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (PI.f64) -1/4) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 -1/4 (PI.f64)) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/4) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
Outputs
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(fma.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(fma.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(fma.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(fma.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(fma.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (cbrt.f64 (PI.f64)) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)))
(*.f64 (/.f64 1 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (PI.f64) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)))
(/.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 1/4)) (pow.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 1/4))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1)
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 3)
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3) 1/3)
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2)
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (PI.f64)) -1)
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) 1)
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(/.f64 (PI.f64) (*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 4))
(/.f64 (PI.f64) (*.f64 4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (/.f64 1/4 (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (PI.f64) (*.f64 4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (/.f64 1/4 (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(/.f64 1/4 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (PI.f64)))
(/.f64 (PI.f64) (*.f64 4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (/.f64 1/4 (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (PI.f64) 1/4) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (*.f64 4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (/.f64 1/4 (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (PI.f64) -1/4) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (PI.f64) -1/4) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 -1/4 (PI.f64)) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (PI.f64) -1/4) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (*.f64 4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (/.f64 1/4 (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/4) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (PI.f64) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (PI.f64) (*.f64 (cbrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (PI.f64) 1/4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4))
(/.f64 (PI.f64) (*.f64 4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (/.f64 1/4 (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1)
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) 3)
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 3) 1/3)
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) 2)
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/16) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/16) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 3))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3)))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) 1))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))

localize13.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (acos.f64 (-.f64 1 x)) 2)
✓99.9%
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)
✓94.0%
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
91.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 35 to 29 computations (17.1% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(+.f64 (acos.f64 (-.f64 1 x)) 2)
0.0ms
x
@0
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
0.0ms
x
@0
(+.f64 (acos.f64 (-.f64 1 x)) 2)
0.0ms
x
@-inf
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
0.0ms
x
@inf
(+.f64 (acos.f64 (-.f64 1 x)) 2)

rewrite81.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
978×prod-diff
962×log-prod
862×fma-def
512×pow-exp
470×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01157
126045
2363245
Stop Event
1×node limit
Counts
3 → 242
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
Outputs
(+.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 2 (+.f64 (acos.f64 (-.f64 1 x)) -2))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(+.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 (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 (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 (+.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 1 (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 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 1 (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 (+.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 1 (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 (+.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 1 (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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4) (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(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 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 1 (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))
(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)) 2) -2)
(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 (acos.f64 (-.f64 1 x)) 1 0)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1 -2)
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) -2)
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (*.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 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) -2)
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 (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 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2)))) -2)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 0)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) -2)
(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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 3)) -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 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) -1)
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -1)
(+.f64 0 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 3))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 3)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -1) 1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) 1) (+.f64 (acos.f64 (-.f64 1 x)) 3))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(expm1.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 1)
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2) -1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 1)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 1)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) -1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 1)))
(fma.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2)))) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 1)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 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 (-.f64 (asin.f64 (-.f64 1 x)) 1)))
(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 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 0)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) 1)
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (+.f64 2 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)
(*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(*.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)))
(/.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 4 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (acos.f64 (-.f64 1 x)))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) 1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) 1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)) -1)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3))
(expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 2))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2) 0)
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 3) -1)
(fma.f64 (acos.f64 (-.f64 1 x)) 1 2)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1 0)
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 1)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (*.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) 2)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 0)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2)))) 0)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 2)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 3))) 1)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 0)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) -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 (-.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) -1)
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 2)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) 1)

simplify101.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1030×unswap-sqr
538×distribute-rgt-neg-in
532×distribute-lft-neg-in
500×fma-def
428×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04628116
110107840
235307832
Stop Event
1×node limit
Counts
278 → 311
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 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.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 2 (+.f64 (acos.f64 (-.f64 1 x)) -2))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(+.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))))
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(log1p.f64 (expm1.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 1)
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2) -1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 1)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 1)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) -1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 1)))
(fma.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2)))) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 1)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 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 (-.f64 (asin.f64 (-.f64 1 x)) 1)))
(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 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 0)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) 1)
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (+.f64 2 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)
(*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(*.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)))
(/.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 4 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (acos.f64 (-.f64 1 x)))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) 1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) 1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)) -1)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3))
(expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 2))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2) 0)
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 3) -1)
(fma.f64 (acos.f64 (-.f64 1 x)) 1 2)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1 0)
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 1)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (*.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) 2)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 0)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2)))) 0)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 2)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 3))) 1)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 0)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) -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 (-.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) -1)
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 2)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 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 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(+.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 2 (+.f64 (acos.f64 (-.f64 1 x)) -2))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(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 (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)))))))
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(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1 1)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) 0)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) 0)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) 1)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 2)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) 0)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) 1)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)
(-.f64 (fma.f64 (PI.f64) 1/2 2) (asin.f64 (-.f64 1 x)))
(fma.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2)))) 0)
(/.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) (-.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -2))))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 2)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) 2)
(+.f64 2 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 3))) 1)
(+.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 3))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 3 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)))))
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 3)))))
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 0)
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)
(+.f64 2 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(+.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(+.f64 1 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (-.f64 -3 (acos.f64 (-.f64 1 x)))))
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (+.f64 (acos.f64 (-.f64 1 x)) 3)))
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) 1 -1)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) -1)
(+.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 (-.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)
(-.f64 (fma.f64 (PI.f64) 1/2 2) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) -1)
(+.f64 (acos.f64 (-.f64 1 x)) 2)
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)
(-.f64 (fma.f64 (PI.f64) 1/2 2) (asin.f64 (-.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 2)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (expm1.f64 (*.f64 1/2 (log1p.f64 (acos.f64 (-.f64 1 x))))) 2)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) 1)
(+.f64 (acos.f64 (-.f64 1 x)) 2)

localize17.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(cbrt.f64 (asin.f64 (-.f64 1 x)))
✓98.5%
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
98.2%
(asin.f64 (-.f64 1 x))
✓9.1%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
Compiler

Compiled 39 to 31 computations (20.5% saved)

series9.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
2.0ms
x
@0
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
2.0ms
x
@inf
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
0.0ms
x
@0
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
0.0ms
x
@-inf
(cbrt.f64 (asin.f64 (-.f64 1 x)))

rewrite78.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1270×log-prod
824×fma-def
766×pow-prod-down
662×pow-exp
656×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01551
132337
2377737
Stop Event
1×node limit
Counts
3 → 182
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(cbrt.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 (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 (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 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 (exp.f64 (*.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)))) (exp.f64 (*.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)))) (exp.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 (exp.f64 (*.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))))
(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 (log.f64 (pow.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 (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)) (+.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.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 (+.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) (+.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))) (+.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 (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))) (+.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)) (-.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)))) (+.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)))) (+.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (PI.f64) 1/2))
(fma.f64 (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)))) (+.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))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.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 1 (asin.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.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 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(/.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))))
(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 (PI.f64) 1/2)) (+.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 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (asin.f64 (-.f64 1 x)))) 3/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3/2) 2))
(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))
(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))))
(asin.f64 (-.f64 1 x))
(+.f64 0 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1/3)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1/3)))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/6)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2/3)
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (asin.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))

simplify90.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
730×fma-neg
582×associate-+r+
562×distribute-lft-neg-in
542×distribute-rgt-neg-in
492×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03726452
18055706
226294640
Stop Event
1×node limit
Counts
218 → 210
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(+.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))))
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(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 3) 1/3))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (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))))
(asin.f64 (-.f64 1 x))
(+.f64 0 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1/3)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1/3)))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/6)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2/3)
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (asin.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.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 (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))
(-.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 (*.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)))
(+.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)))))
(-.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))
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(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1) 1))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3) 1))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (asin.f64 (-.f64 1 x)))) 2))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))

localize36.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))
✓99.8%
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)
✓94.0%
(-.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) 1)
91.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 91 to 79 computations (13.2% saved)

series100.0ms (0.8%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
40.0ms
x
@0
(-.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) 1)
26.0ms
x
@0
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))
15.0ms
x
@inf
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))
13.0ms
x
@-inf
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)

rewrite88.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1352×log-prod
1092×prod-diff
796×fma-def
546×expm1-udef
542×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015121
132495
2414395
Stop Event
1×node limit
Counts
3 → 97
Calls
Call 1
Inputs
(-.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))
Outputs
(+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)
(+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))
(+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))) (cbrt.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))))
(*.f64 1 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)) (cbrt.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 2)) (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))
(*.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9) -1) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))))))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) -1) (/.f64 1 (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))))
(*.f64 (+.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) 1) (-.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))) (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9) -1)))
(/.f64 1 (/.f64 (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9) -1) (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9) -1) (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) (-.f64 1 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) -1) (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9) -1)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) -1)) (neg.f64 (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))))
(pow.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 2))
(log.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 3))
(expm1.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))))
(expm1.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) 1))
(exp.f64 (log.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))
(fma.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)
(fma.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 1 -1)
(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) 1) -1)
(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) 1) -1)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) -1)
(fma.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) -1)
(fma.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)) -1)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) -1)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6)) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) -1)
(+.f64 0 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8) 1)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) 8) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 8))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 8) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 8))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)) 1) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(exp.f64 (*.f64 8 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (*.f64 8 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(+.f64 0 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))) (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4) 1/3))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8/3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))
(exp.f64 (*.f64 1/3 (*.f64 8 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(exp.f64 (*.f64 (*.f64 8 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 8 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))

simplify92.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1034×fma-def
696×times-frac
608×distribute-lft-in
552×distribute-rgt-in
476×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02334294973755
14814294973515
214056573
349355889
Stop Event
1×node limit
Counts
133 → 139
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)))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/9)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/9)
(+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)
(+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))
(+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))) (cbrt.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))))
(*.f64 1 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)) (cbrt.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 2)) (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))
(*.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9) -1) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))))))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) -1) (/.f64 1 (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))))
(*.f64 (+.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) 1) (-.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))) (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9) -1)))
(/.f64 1 (/.f64 (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9) -1) (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9) -1) (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) (-.f64 1 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) -1) (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9) -1)) (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) -1)) (neg.f64 (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))))
(pow.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 2))
(log.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 3))
(expm1.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))))
(expm1.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) 1))
(exp.f64 (log.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))
(fma.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)
(fma.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 1 -1)
(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) 1) -1)
(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) -1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) 1) -1)
(fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) -1)
(fma.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) -1)
(fma.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)) -1)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) -1)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6)) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) -1)
(+.f64 0 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8) 1)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 2) 8) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 8))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 8) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 8))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)) 1) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(exp.f64 (*.f64 8 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (*.f64 8 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(+.f64 0 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))) (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4) 1/3))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8/3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 16)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))
(exp.f64 (*.f64 1/3 (*.f64 8 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(exp.f64 (*.f64 (*.f64 8 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 8 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))
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))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 8) 1/9)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18) (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 8) 1/18))
(+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)
(+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))
(+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))
(+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))
(+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))) (cbrt.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))))) (cbrt.f64 (exp.f64 (+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))))
(+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))
(*.f64 1 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1))
(+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 1)
(+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))
(*.f64 (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)) (cbrt.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 2)))
(+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1) 2)) (cbrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))
(+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))
(*.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))
(+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9) -1) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))))))
(*.f64 (+.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) (/.f64 1 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2) (+.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))))))
(/.f64 (+.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) (+.f64 1 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) 2))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) (fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) (-.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9))) -1))
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(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8)))))
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))
(exp.f64 (*.f64 1/3 (*.f64 8 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(pow.f64 (exp.f64 1/3) (*.f64 8/3 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 8/9 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 8/9) (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (*.f64 8 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x))))) 1/3))
(pow.f64 (exp.f64 1/3) (*.f64 8/3 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 8/9 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 8/9) (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 8 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))))) 1))
(pow.f64 (exp.f64 1/3) (*.f64 8/3 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 8/9 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 8/9) (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))))
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))

localize28.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)
✓93.8%
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
✓93.7%
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
91.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 63 to 53 computations (15.9% saved)

series131.0ms (1.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
44.0ms
x
@-inf
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
28.0ms
x
@inf
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
19.0ms
x
@-inf
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
13.0ms
x
@0
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
13.0ms
x
@inf
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))

rewrite69.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1036×log-prod
578×pow-prod-up
564×pow-prod-down
546×prod-exp
506×pow-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01377
125665
2292055
Stop Event
1×node limit
Counts
3 → 106
Calls
Call 1
Inputs
(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))
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)
Outputs
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 0)
(+.f64 0 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/6 (acos.f64 (-.f64 1 x))) (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 4)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(*.f64 2 (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(*.f64 3 (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 1/2 (*.f64 2/3 (acos.f64 (-.f64 1 x))))
(pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 0)
(+.f64 0 (*.f64 2/3 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/6 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 2 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 5/6)) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (*.f64 2/3 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)
(*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 1/3 (*.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(*.f64 2/3 (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 2 (cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 2 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(fma.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 1/3 (acos.f64 (-.f64 1 x)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 0 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 5/6) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 2) (*.f64 1/6 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 2) (*.f64 1/6 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (exp.f64 2) (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) (pow.f64 (exp.f64 2) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))) (pow.f64 (E.f64) (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (exp.f64 2) (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (exp.f64 2))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))) (E.f64))
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 4))
(log.f64 (exp.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (exp.f64 2) (acos.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))
(exp.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 2))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 2 (acos.f64 (-.f64 1 x))) 1/3))
(exp.f64 (+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))

simplify62.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
922×associate-+r+
910×associate-+l+
822×distribute-lft-out
726×log-prod
656×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02264192
14783158
220693144
Stop Event
1×node limit
Counts
142 → 136
Calls
Call 1
Inputs
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 0)
(+.f64 0 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/6 (acos.f64 (-.f64 1 x))) (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 4)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(*.f64 2 (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(*.f64 3 (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 1/2 (*.f64 2/3 (acos.f64 (-.f64 1 x))))
(pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 0)
(+.f64 0 (*.f64 2/3 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/6 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 2 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 5/6)) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (*.f64 2/3 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)
(*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 1/3 (*.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(*.f64 2/3 (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 2 (cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 2 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(fma.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 1/3 (acos.f64 (-.f64 1 x)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 0 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 5/6) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 2) (*.f64 1/6 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 2) (*.f64 1/6 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (exp.f64 2) (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) (pow.f64 (exp.f64 2) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))) (pow.f64 (E.f64) (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (exp.f64 2) (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (exp.f64 2))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))) (E.f64))
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 4))
(log.f64 (exp.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (exp.f64 2) (acos.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))
(exp.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 2))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 2 (acos.f64 (-.f64 1 x))) 1/3))
(exp.f64 (+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(exp.f64 (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
Outputs
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)
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(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(fma.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) (cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 2)) (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) (cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 2)) (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(fma.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(fma.f64 1/3 (acos.f64 (-.f64 1 x)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(+.f64 0 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))) 1)
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(*.f64 1 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(*.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 1)
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 4)) (pow.f64 (exp.f64 2/9) (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 4/3))) (pow.f64 (exp.f64 2/9) (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 4)) (pow.f64 (exp.f64 2/9) (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 4/3))) (pow.f64 (exp.f64 2/9) (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 5/6) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x))) 5/6) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x))) 5/6) (pow.f64 (exp.f64 1/9) (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (exp.f64 2) (*.f64 1/6 (acos.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 2) (*.f64 1/6 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (exp.f64 2) (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x))))) (pow.f64 (exp.f64 2) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))) (pow.f64 (E.f64) (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(/.f64 (pow.f64 (exp.f64 2) (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (exp.f64 2))
(/.f64 (pow.f64 (exp.f64 2) (exp.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))) (exp.f64 2))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (E.f64))
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 4))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (exp.f64 2) (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 2))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (acos.f64 (-.f64 1 x)))) 3))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 2 (acos.f64 (-.f64 1 x))) 1/3))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(exp.f64 (+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(exp.f64 (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(exp.f64 (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))

eval1.3s (10.8%)

Compiler

Compiled 76321 to 62060 computations (18.7% saved)

prune403.0ms (3.2%)

Pruning

58 alts after pruning (51 fresh and 7 done)

PrunedKeptTotal
New1721351756
Fresh131629
Picked011
Done369
Total1737581795
Accurracy
10.8%
Counts
1795 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.1%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
10.3%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 1/4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
10.2%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
▶10.3%
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
10.2%
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) -1)
10.2%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
6.5%
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1) 3)
6.5%
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
✓6.5%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
10.2%
(/.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 2))) (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 1/4))))
10.3%
(/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
6.5%
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
6.5%
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
6.5%
(-.f64 (/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1))) 1)
4.7%
(-.f64 (-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) -1) 1) 1)
4.7%
(-.f64 (-.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 2))) 1) 1)
10.1%
(-.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) 1) 1)
10.1%
(-.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) 1) 1)
2.9%
(-.f64 (-.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))) 1) 1)
2.8%
(-.f64 (-.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (neg.f64 (acos.f64 (-.f64 1 x)))) 1) 1)
6.5%
(-.f64 (-.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 1) 1)
10.1%
(-.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 1) 1)
✓6.5%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.5%
(-.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 8)) 1)
6.5%
(-.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6)))) (*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6)))))) 1)
6.5%
(-.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 16))) 1)
2.8%
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
10.1%
(-.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 (acos.f64 (-.f64 1 x)))))
4.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2) 3))
▶10.1%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
4.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))) 3))
10.1%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3))
4.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))) 3))
10.2%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
▶10.1%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (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))))) 3))
10.2%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 3))
10.2%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3))
✓10.1%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
10.1%
(-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
4.7%
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
✓6.5%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
10.3%
(+.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (fma.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
10.3%
(+.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (PI.f64)) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))))))
6.5%
(+.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)))))))
10.2%
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (*.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (neg.f64 (*.f64 (/.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (asin.f64 (-.f64 1 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (asin.f64 (-.f64 1 x)) 1) (*.f64 (/.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (asin.f64 (-.f64 1 x)) 1))))
10.3%
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (/.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)))) (+.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))))))
10.3%
(+.f64 (fma.f64 (PI.f64) (*.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) -1/2) (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
▶6.5%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
✓6.5%
(+.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))))))
6.5%
(+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)
6.5%
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
▶6.5%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
6.5%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))))))
6.5%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
6.5%
(log.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))
✓6.5%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓6.5%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 3700 to 3176 computations (14.2% saved)

localize66.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))
98.5%
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
98.2%
(asin.f64 (-.f64 1 x))
✓9.2%
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
Compiler

Compiled 168 to 131 computations (22% saved)

series3.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
1.0ms
x
@-inf
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
1.0ms
x
@inf
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
0.0ms
x
@-inf
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))
0.0ms
x
@0
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))

rewrite85.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
822×expm1-udef
818×log1p-udef
508×add-sqr-sqrt
496×pow1
494×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026158
1567122
26759122
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))
Outputs
(+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))
(+.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4) 1) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)))) 1)
(*.f64 1 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)))
(*.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) 2)) (cbrt.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4) 3) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3)) (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) (-.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) -2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) -2))) (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)))
(pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))))
(exp.f64 (log.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) 1)
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (PI.f64)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (PI.f64)) 1))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (PI.f64))))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (PI.f64))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4))
(/.f64 (/.f64 (PI.f64) 1) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (PI.f64)) -1)
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3/2))))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3/2)) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))

simplify90.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
998×associate-/l*
842×log-prod
720×associate-/r*
660×associate-*r/
622×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01584917
13894887
215114845
373364845
Stop Event
1×node limit
Counts
69 → 75
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (PI.f64))
(+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))
(+.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4) 1) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)))) 1)
(*.f64 1 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)))
(*.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) 2)) (cbrt.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4) 3) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3)) (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) (-.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) -2)) (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) -2))) (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)))
(pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))))
(exp.f64 (log.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) 1)
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (PI.f64)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (PI.f64)) 1))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (PI.f64))))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (PI.f64))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (PI.f64) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4))
(/.f64 (/.f64 (PI.f64) 1) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (PI.f64)) -1)
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3/2))))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3/2)) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
Outputs
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (*.f64 -1 (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
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(cbrt.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 3/2)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3/2)) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3/2)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (PI.f64) (sqrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (acos.f64 (-.f64 1 x)) 2)
✓93.8%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
91.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 26 to 21 computations (19.2% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
0.0ms
x
@-inf
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
0.0ms
x
@inf
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)

rewrite63.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1232×unpow-prod-down
890×log-prod
634×prod-diff
570×fma-def
512×pow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01117
124811
2320111
Stop Event
1×node limit
Counts
1 → 81
Calls
Call 1
Inputs
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
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)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(*.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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)) 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 (*.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 (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 (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 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 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))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 4 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (-.f64 -2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(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)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) -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)) 2) -2)
(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)) 2) 1 -2)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(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)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(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 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2)))) -2)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))) 0)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) -2)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)) 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)))

simplify59.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1638×fma-def
918×associate-/l*
814×associate-/r*
532×distribute-lft-in
522×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02162871
15302755
217232457
Stop Event
1×node limit
Counts
93 → 98
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)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(*.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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)) 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 (*.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 (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 (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 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 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))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 4 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (-.f64 -2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(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)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) -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)) 2) -2)
(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)) 2) 1 -2)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(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)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(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 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2)))) -2)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))) 0)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) -2)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)) 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)))
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)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 -4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(*.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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4) 4))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4) 4))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 -4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 -4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(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 (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 (*.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 (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 (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 (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 (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 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4) 4))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 -4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4) 4))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4) 4))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 -4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4) 4))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 -4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.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))))
(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 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(/.f64 (-.f64 4 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (-.f64 -2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 -4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.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 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) -1)
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4) 4))
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) -1)
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 -4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(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 (acos.f64 (-.f64 1 x)) 2) -2)
(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 (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 (acos.f64 (-.f64 1 x)) 1 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1 -2)
(acos.f64 (-.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) -2)
(acos.f64 (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(acos.f64 (-.f64 1 x))
(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 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(acos.f64 (-.f64 1 x))
(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 (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 8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2)))) -2)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 8) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2)))) -2)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 8) (/.f64 1 (+.f64 4 (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) -2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) -2)
(+.f64 -2 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 8) (+.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -2)))))
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))) 0)
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (+.f64 4 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4) 4))
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) -2)
(fma.f64 (+.f64 -4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) -2)
(+.f64 -2 (/.f64 (+.f64 -4 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)) 0)
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 -4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(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)))

localize17.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
✓99.9%
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
93.7%
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
91.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 38 to 31 computations (18.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
0.0ms
x
@0
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
0.0ms
x
@inf
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
0.0ms
x
@0
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
0.0ms
x
@-inf
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))

rewrite66.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
924×log-prod
734×exp-prod
504×pow-prod-down
498×prod-exp
492×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01248
123630
2279130
Stop Event
1×node limit
Counts
2 → 101
Calls
Call 1
Inputs
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
Outputs
(+.f64 0 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (pow.f64 (E.f64) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/6 (acos.f64 (-.f64 1 x)))) (pow.f64 (E.f64) (*.f64 1/6 (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (E.f64))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (exp.f64 3) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (E.f64) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(pow.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (exp.f64 2) (acos.f64 (-.f64 1 x))) 1/6)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3) 1/9)
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (exp.f64 1/3) (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (E.f64)) (acos.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 1)
(pow.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))) 1/3)
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) 1) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(exp.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (acos.f64 (-.f64 1 x))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.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 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2/3 (acos.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 5/6)) (*.f64 1/6 (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 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.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)) 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 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
(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 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))

simplify86.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1508×fma-def
860×log-prod
732×exp-prod
514×sqr-pow
480×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02684294971141
16323345
217693307
368533307
Stop Event
1×node limit
Counts
125 → 139
Calls
Call 1
Inputs
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(+.f64 0 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (pow.f64 (E.f64) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/6 (acos.f64 (-.f64 1 x)))) (pow.f64 (E.f64) (*.f64 1/6 (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (E.f64))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (exp.f64 3) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (E.f64) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(pow.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (exp.f64 2) (acos.f64 (-.f64 1 x))) 1/6)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3) 1/9)
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (exp.f64 1/3) (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (E.f64)) (acos.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 1)
(pow.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))) 1/3)
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) 1) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(exp.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (acos.f64 (-.f64 1 x))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.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 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2/3 (acos.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 5/6)) (*.f64 1/6 (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 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.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)) 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 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
(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 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Outputs
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(+.f64 0 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (exp.f64 1/9) (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (exp.f64 1/9) (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (pow.f64 (E.f64) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (pow.f64 (E.f64) (*.f64 1/9 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))))) (pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/9)))
(*.f64 (pow.f64 (exp.f64 1/9) (acos.f64 (-.f64 1 x))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x)))))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/6 (acos.f64 (-.f64 1 x)))) (pow.f64 (E.f64) (*.f64 1/6 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))) (E.f64))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 3) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1/3))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1/2)
(sqrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))
(sqrt.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x))))
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(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(fma.f64 1 (*.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 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.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)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))

localize26.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3)
✓98.5%
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
98.2%
(asin.f64 (-.f64 1 x))
✓9.1%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
Compiler

Compiled 59 to 49 computations (16.9% saved)

series39.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

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

rewrite88.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1370×log-prod
856×fma-def
808×pow-exp
766×pow-prod-up
540×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01751
136737
2405837
Stop Event
1×node limit
Counts
3 → 193
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3)
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)) (+.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 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 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)) 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 (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))))))
(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)) (+.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.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 (+.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 (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)) (+.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))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (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))))
(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 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (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 (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))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(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)) (-.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)))) (+.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)))) (+.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 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.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)))) (+.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))
(+.f64 0 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 5/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 3) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1/3)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1/3)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 1) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 5/6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6))
(sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (asin.f64 (-.f64 1 x)))) 1) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (asin.f64 (-.f64 1 x)))) 9) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3/2))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (asin.f64 (-.f64 1 x)))) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (asin.f64 (-.f64 1 x)))) 3/2) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.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 1 (asin.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 8))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 7))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 9))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 9) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 9))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 8) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 7) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (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))))
(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))))))
(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 (*.f64 1/9 (log.f64 (asin.f64 (-.f64 1 x)))) 9))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (asin.f64 (-.f64 1 x)))) 1) 9))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1/3) 9))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (asin.f64 (-.f64 1 x)))) 9) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (asin.f64 (-.f64 1 x)))) 3/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3/2) 2))
(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))
(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))))
(asin.f64 (-.f64 1 x))

simplify88.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
830×distribute-lft-in
702×distribute-rgt-in
658×unswap-sqr
526×fma-neg
462×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04147003
19096299
226845323
Stop Event
1×node limit
Counts
229 → 230
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/9) (asin.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)) (+.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 1 (acos.f64 (-.f64 1 x)))
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(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 8))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 7))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 9))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 9) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 9))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 8) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 7) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (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))))
(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))))))
(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 (*.f64 1/9 (log.f64 (asin.f64 (-.f64 1 x)))) 9))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (asin.f64 (-.f64 1 x)))) 1) 9))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1/3) 9))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (asin.f64 (-.f64 1 x)))) 9) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (asin.f64 (-.f64 1 x)))) 3/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3/2) 2))
(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))
(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))))
(asin.f64 (-.f64 1 x))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/9) (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))))
(-.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 (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))
(-.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 (*.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)))
(+.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))) (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 (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 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)) (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)))))
(-.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)) (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 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 (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)))))
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(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 7))
(asin.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 9))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 9) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 9))
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 18)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 8) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 7) (pow.f64 (cbrt.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 (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 (-.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))))
(/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (fma.f64 1/2 (PI.f64) (acos.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))))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.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)))
(fma.f64 1/2 (PI.f64) (neg.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)))
(fma.f64 1/2 (PI.f64) (neg.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 (*.f64 1/9 (log.f64 (asin.f64 (-.f64 1 x)))) 9))
(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 (*.f64 1/9 (log.f64 (asin.f64 (-.f64 1 x)))) 1) 9))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1/3) 9))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1) 3))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3) 3))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (*.f64 1/9 (log.f64 (asin.f64 (-.f64 1 x)))) 9) 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 (*.f64 2/3 (log.f64 (asin.f64 (-.f64 1 x)))) 3/2))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3/2) 2))
(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))
(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))))
(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 1/2 (PI.f64) (neg.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 1/2 (PI.f64) (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))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (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 1/2 (PI.f64) (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))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (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))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (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))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (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))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (acos.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))

localize45.0ms (0.4%)

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))
91.0%
(acos.f64 (-.f64 1 x))
✓9.1%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (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))))) 3))
Compiler

Compiled 107 to 87 computations (18.7% saved)

series10.0ms (0.1%)

Counts
3 → 12
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@0
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (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))))) 3))
2.0ms
x
@-inf
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (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))))) 3))
2.0ms
x
@inf
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (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))))) 3))

rewrite97.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1552×log-prod
1184×fma-def
622×expm1-udef
618×log1p-udef
414×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02175
144443
2517143
Stop Event
1×node limit
Counts
3 → 184
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (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))))) 3))
(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)) (+.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 (*.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)))))
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(*.f64 (cbrt.f64 (pow.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)) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))
(cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))

simplify83.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
874×distribute-lft-in
768×distribute-rgt-in
648×associate-/l*
562×*-commutative
432×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03646780
17926098
223045234
Stop Event
1×node limit
Counts
196 → 228
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (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)) (+.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 (*.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)) (+.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.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 (+.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 (+.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) (+.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))) (+.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)))) (+.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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (*.f64 (cbrt.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 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (*.f64 (cbrt.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 (*.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 (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))) (+.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)))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (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 (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)))) (+.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)) (+.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)))) (+.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (PI.f64) 1/2))
(fma.f64 (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)))) (+.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))) (+.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))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (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))))
(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))) (+.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) (cbrt.f64 (pow.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) (cbrt.f64 (pow.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))
(+.f64 0 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 1 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1/3))
(pow.f64 (*.f64 (PI.f64) 1/2) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(fabs.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 0 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) 1)
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(*.f64 (cbrt.f64 (pow.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)) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))
(cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (+.f64 (*.f64 (PI.f64) -1/2) (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (+.f64 (*.f64 (PI.f64) -1/2) (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (+.f64 (*.f64 (PI.f64) -1/2) (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (+.f64 (*.f64 (PI.f64) -1/2) (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (+.f64 (*.f64 (PI.f64) -1/2) (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (+.f64 (*.f64 (PI.f64) -1/2) (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (+.f64 (*.f64 (PI.f64) -1/2) (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (+.f64 (*.f64 (PI.f64) -1/2) (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (+.f64 (*.f64 (PI.f64) -1/2) (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (+.f64 (*.f64 (PI.f64) -1/2) (acos.f64 (-.f64 1 x))))
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(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 1))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)

eval649.0ms (5.2%)

Compiler

Compiled 35076 to 28762 computations (18% saved)

prune252.0ms (2%)

Pruning

54 alts after pruning (45 fresh and 9 done)

PrunedKeptTotal
New1328211349
Fresh222446
Picked101
Done2911
Total1353541407
Accurracy
10.8%
Counts
1407 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.1%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
10.3%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 1/4 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
10.2%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
✓10.3%
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
10.2%
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) -1)
10.2%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
6.5%
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
✓6.5%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
10.2%
(/.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 2))) (+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) 1/4))))
10.3%
(/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.2%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (PI.f64))) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))) 1/16) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) -2))) (fma.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))))
6.5%
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
6.5%
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
✓6.5%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
4.7%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 7)) (asin.f64 (-.f64 1 x)))
6.5%
(-.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 8)) 1)
2.8%
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
4.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2) 3))
✓10.1%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
10.2%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 18))
10.1%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 3) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3))
4.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))) 3))
10.2%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
4.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (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))))) 3))
✓10.1%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
4.7%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 9)))
10.1%
(-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
4.7%
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
10.3%
(+.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (fma.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
10.3%
(+.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (PI.f64)) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))))))
4.7%
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) -1) -2)
10.2%
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (*.f64 (sqrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (neg.f64 (*.f64 (/.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (asin.f64 (-.f64 1 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (asin.f64 (-.f64 1 x)) 1) (*.f64 (/.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (asin.f64 (-.f64 1 x)) 1))))
10.3%
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (/.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)))) (+.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))))))
10.3%
(+.f64 (fma.f64 (PI.f64) (*.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) -1/2) (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
10.1%
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) -2)
10.1%
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) -2)
2.9%
(+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))) -2)
2.8%
(+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (neg.f64 (acos.f64 (-.f64 1 x)))) -2)
6.5%
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) -2)
✓6.5%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
4.7%
(+.f64 (expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) -2)
6.5%
(+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)
6.5%
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) 3)
6.5%
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
6.5%
(*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)) 3)
6.5%
(*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 2) (acos.f64 (-.f64 1 x))) 1/6)) 3)
6.4%
(*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 3)
6.5%
(*.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)) 3)
10.1%
(*.f64 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) 3)
6.5%
(*.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 3)
✓6.5%
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
6.5%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓6.5%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓6.5%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1550 to 1325 computations (14.5% saved)

regimes117.0ms (0.9%)

Counts
97 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) -2)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 3)
(+.f64 (expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) -2)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) -2)
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) -2)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1) 3)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) 3)
(-.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) 1) 1)
(-.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) 1) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (neg.f64 (acos.f64 (-.f64 1 x)))) -2)
(-.f64 (-.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (neg.f64 (acos.f64 (-.f64 1 x)))) 1) 1)
(+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))) -2)
(-.f64 (/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1))) 1)
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(-.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6)))) (*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/6)))))) 1)
(+.f64 (fma.f64 (PI.f64) (*.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) -1/2) (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (PI.f64)) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))))))
(+.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (fma.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1/16 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
Outputs
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
Calls

3 calls:

40.0ms
x
9.0ms
(-.f64 1 x)
6.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.3%1x
10.3%1(acos.f64 (-.f64 1 x))
10.3%1(-.f64 1 x)
Compiler

Compiled 2690 to 2258 computations (16.1% saved)

regimes108.0ms (0.9%)

Counts
81 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) -2)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 3)
(+.f64 (expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) -2)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) -2)
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) -2)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1) 3)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) 3)
(-.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) 1) 1)
(-.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) 1) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (neg.f64 (acos.f64 (-.f64 1 x)))) -2)
(-.f64 (-.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (neg.f64 (acos.f64 (-.f64 1 x)))) 1) 1)
(+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))) -2)
(-.f64 (/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1))) 1)
(-.f64 (-.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))) 1) 1)
(*.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)
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)
(*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 2) (acos.f64 (-.f64 1 x))) 1/6)) 3)
(*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)) 3)
(-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 18))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2) 3))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) -1)
(-.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 1) 1)
(*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 3)
(*.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)) 3)
(log.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
(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 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(/.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 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) 3)
(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) (pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))) 3))
(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 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))))))
(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 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) 1)
(-.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 8)) 1)
(-.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 16))) 1)
(/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) -1) -2)
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
(-.f64 (-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3)) -1) 1) 1)
(-.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)))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)) 1)
(+.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 (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)) 2))) 1) 1)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (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 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 7)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (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))))) 3))
(/.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) (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 3) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3)) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 9)))
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (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))))) 3))
(fma.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Outputs
(/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
Calls

3 calls:

34.0ms
x
8.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.3%1x
10.3%1(acos.f64 (-.f64 1 x))
10.3%1(-.f64 1 x)
Compiler

Compiled 1380 to 1190 computations (13.8% saved)

regimes56.0ms (0.5%)

Counts
59 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) -2)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 3)
(+.f64 (expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) -2)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) -2)
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) -2)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1) 3)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) 3)
(-.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) 1) 1)
(-.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) 1) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (neg.f64 (acos.f64 (-.f64 1 x)))) -2)
(-.f64 (-.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (neg.f64 (acos.f64 (-.f64 1 x)))) 1) 1)
(+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))) -2)
(-.f64 (/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1))) 1)
(-.f64 (-.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))) 1) 1)
(*.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)
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)
(*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 2) (acos.f64 (-.f64 1 x))) 1/6)) 3)
(*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)) 3)
(-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 18))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2) 3))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) -1)
(-.f64 (-.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 1) 1)
(*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 3)
(*.f64 (log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)) 3)
(log.f64 (exp.f64 (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3))
(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 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(/.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 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) 3)
(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) (pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))) 3))
(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 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)))))))
(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 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 8))) 1)
(-.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 8)) 1)
(-.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 16))) 1)
Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 18))
Calls

3 calls:

25.0ms
x
6.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.2%1x
10.2%1(acos.f64 (-.f64 1 x))
10.2%1(-.f64 1 x)
Compiler

Compiled 815 to 716 computations (12.1% saved)

regimes34.0ms (0.3%)

Counts
36 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) -2)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 3)
(+.f64 (expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) -2)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) -2)
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) -2)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1) 3)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) 3)
(-.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) 1) 1)
(-.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) 1) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (neg.f64 (acos.f64 (-.f64 1 x)))) -2)
(-.f64 (-.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (neg.f64 (acos.f64 (-.f64 1 x)))) 1) 1)
(+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))) -2)
(-.f64 (/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1))) 1)
(-.f64 (-.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))) 1) 1)
(*.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)
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 9)) -1)
(*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 2) (acos.f64 (-.f64 1 x))) 1/6)) 3)
(*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)) 3)
(-.f64 (*.f64 (PI.f64) 1/2) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))
Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
Calls

3 calls:

15.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.2%1x
10.2%1(acos.f64 (-.f64 1 x))
10.2%1(-.f64 1 x)
Compiler

Compiled 436 to 387 computations (11.2% saved)

regimes29.0ms (0.2%)

Counts
31 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) -2)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 3)
(+.f64 (expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) -2)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) -2)
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) -2)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1) 3)
(*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) 3)
(-.f64 (-.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) 1) 1)
(-.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) 1) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (neg.f64 (acos.f64 (-.f64 1 x)))) -2)
(-.f64 (-.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (neg.f64 (acos.f64 (-.f64 1 x)))) 1) 1)
(+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))) -2)
(-.f64 (/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1))) 1)
(-.f64 (-.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))) 1) 1)
(*.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)
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
Outputs
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) -2)
Calls

3 calls:

13.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.1%1x
10.1%1(acos.f64 (-.f64 1 x))
10.1%1(-.f64 1 x)
Compiler

Compiled 376 to 334 computations (11.2% saved)

regimes15.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) -2)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 3)
(+.f64 (expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) -2)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) -2)
Outputs
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) -2)
Calls

3 calls:

7.0ms
x
3.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.1%1x
10.1%1(acos.f64 (-.f64 1 x))
10.1%1(-.f64 1 x)
Compiler

Compiled 134 to 117 computations (12.7% saved)

regimes15.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) -2)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 3)
(+.f64 (expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) -2)
Outputs
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
Calls

3 calls:

7.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
6.5%1x
6.5%1(acos.f64 (-.f64 1 x))
6.5%1(-.f64 1 x)
Compiler

Compiled 123 to 107 computations (13% saved)

regimes11.0ms (0.1%)

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

3 calls:

5.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
6.5%1x
6.5%1(acos.f64 (-.f64 1 x))
6.5%1(-.f64 1 x)
Compiler

Compiled 86 to 74 computations (14% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
7 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) -2)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1) 1) 1)
Outputs
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
Calls

3 calls:

4.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
6.5%1x
6.5%1(acos.f64 (-.f64 1 x))
6.5%1(-.f64 1 x)
Compiler

Compiled 72 to 62 computations (13.9% saved)

simplify13.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
058434
185434
2101434
3111434
4115434
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 18))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) -2)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) -2)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
(acos.f64 (-.f64 1 x))
Outputs
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (PI.f64))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (/.f64 (PI.f64) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 1/4 (*.f64 (PI.f64) (sqrt.f64 (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/6) 18))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) -2)
(+.f64 (pow.f64 (sqrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 2) -2)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 3) -2)
(+.f64 -2 (pow.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 3))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 3)
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
Compiler

Compiled 148 to 128 computations (13.5% saved)

soundness1.8s (14.4%)

Rules
1994×fma-def
1952×fma-def
1952×fma-def
1616×pow1
1492×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114611
2179511
016117
136565
2532665
065728947
1153325627
2523224381
0711
114611
2179511
0911
117011
2198211
069631
1161599
2547599
32651555
47804555
02264192
14783158
220693144
0711
114611
2179511
060396
1147392
2495392
32261392
45297392
0711
114611
2179511
0711
114611
2179511
0940
120728
2294328
01157
126045
2363245
01157
126045
2363245
01157
126045
2363245
01236
125622
2328822
01236
125622
2328822
01551
132337
2377737
01751
136737
2405837
04147003
19096299
226845323
016117
136565
2532665
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
1×node limit
1×node limit
Compiler

Compiled 1836 to 1533 computations (16.5% saved)

end101.0ms (0.8%)

Compiler

Compiled 304 to 252 computations (17.1% saved)

Profiling

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