bug323 (missed optimization)

Time bar (total: 10.1s)

analyze0.0ms (0%)

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

Compiled 12 to 9 computations (25% saved)

sample1.6s (16.3%)

Results
916.0ms4140×body1024valid
401.0ms2035×body512valid
169.0ms1669×body256valid
146.0ms412×body2048valid
Bogosity

preprocess16.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
11822
23022
35922
49622
513522
615922
716822
Stop Event
saturated
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 (neg.f64 x)))
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 (neg.f64 x)))
(acos.f64 (+.f64 1 x))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21511
32211
43011
54011
65111
76311
86611
Stop Event
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
7.1%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.1%
(acos.f64 (-.f64 1 x))
7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 10 to 8 computations (20% saved)

localize52.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite55.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify54.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
060396
1147392
2495392
32261392
45297392
Stop Event
node limit
Counts
24 → 26
Calls
Call 1
Inputs
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
Outputs
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) (*.f64 1/4 (PI.f64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4)))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))

eval7.0ms (0.1%)

Compiler

Compiled 337 to 270 computations (19.9% saved)

prune27.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New18826
Fresh000
Picked011
Done000
Total18927
Accurracy
7.1%
Counts
27 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.1%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
7.1%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
7.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
7.1%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
7.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.1%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.1%
(acos.f64 (-.f64 1 x))
7.1%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
7.1%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
7.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
7.1%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
7.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.1%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 438 to 368 computations (16% saved)

localize733.0ms (7.2%)

Local Accuracy

Found 14 expressions with local accuracy:

NewAccuracyProgram
98.5%
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
98.4%
(pow.f64 (*.f64 (PI.f64) 1/2) 3)
97.6%
(asin.f64 (-.f64 1 x))
11.2%
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
99.8%
(sqrt.f64 (acos.f64 (-.f64 1 x)))
99.3%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
7.1%
(acos.f64 (-.f64 1 x))
10.9%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.1%
(acos.f64 (-.f64 1 x))
97.6%
(asin.f64 (-.f64 1 x))
10.9%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
100.0%
(+.f64 1 (acos.f64 (-.f64 1 x)))
10.9%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 204 to 150 computations (26.5% saved)

series6.0ms (0.1%)

Counts
11 → 80
Calls

30 calls:

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

rewrite156.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
976×fma-neg
748×expm1-udef
744×log1p-udef
490×add-sqr-sqrt
480×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024215
1527167
26557167
Stop Event
node limit
Counts
11 → 628
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 1 (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(asin.f64 (-.f64 1 x))
(pow.f64 (*.f64 (PI.f64) 1/2) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
Outputs
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (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 (+.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 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))) 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (-.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (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 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (log.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(fma.f64 1 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (PI.f64) (*.f64 1/2 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 1/2 (*.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 (PI.f64) 1/2) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) 1 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 3) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (PI.f64)) 1/2 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/2) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -1 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (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)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 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)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.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 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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 (*.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))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)))) 1)
(*.f64 1 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(*.f64 1/2 (*.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 (PI.f64) 1/2) 2))
(*.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) 1)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(*.f64 (pow.f64 (PI.f64) 3) 1/8)
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 3) (*.f64 (PI.f64) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3))
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1) (*.f64 (PI.f64) 1/2))
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (PI.f64)) 1/2)
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/2) (PI.f64))
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(exp.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))

simplify269.0ms (2.7%)

Algorithm
egg-herbie
Rules
914×associate-*r*
810×associate-*l*
808×exp-prod
628×fma-def
600×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064225332
1144024062
2665223894
Stop Event
node limit
Counts
708 → 435
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 (*.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)))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
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(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
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 (*.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 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.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 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.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))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(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))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(+.f64 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 (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 (acos.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 0))
(+.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 (acos.f64 (-.f64 1 x)) (*.f64 (asin.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 (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)) 0))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 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 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 1/2 (PI.f64)) (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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(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 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.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)) (/.f64 1 (+.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 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 1/2 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 4))
(*.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)) 1/4) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (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 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 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)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 1/2 (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 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4))
(acos.f64 (-.f64 1 x))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (*.f64 1/2 (PI.f64)))) (-.f64 (sqrt.f64 (*.f64 1/2 (PI.f64))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 4))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3))))
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(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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 (sqrt.f64 (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 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 3)) (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))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)))) 1)
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 1 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 (PI.f64) (*.f64 1/2 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 1/2 (*.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 (PI.f64) 1/2) 2))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) 1)
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1/8)
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 3) (*.f64 (PI.f64) 1/2))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1) (*.f64 (PI.f64) 1/2))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (PI.f64)) 1/2)
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/2) (PI.f64))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(sqrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 6))
(fabs.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/8))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)))))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9))
(cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 9))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(exp.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/2 (PI.f64)) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)

eval397.0ms (3.9%)

Compiler

Compiled 20149 to 15951 computations (20.8% saved)

prune165.0ms (1.6%)

Pruning

34 alts after pruning (30 fresh and 4 done)

PrunedKeptTotal
New78828816
Fresh123
Picked235
Done011
Total79134825
Accurracy
11.0%
Counts
825 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.3%
(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))))
5.3%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
7.1%
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))) -1)
7.1%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.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))))))
10.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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))))))
10.7%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
7.1%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
10.7%
(-.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)
7.1%
(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
7.1%
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
7.1%
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
7.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 3)) (acos.f64 (-.f64 1 x))))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (acos.f64 (-.f64 1 x))))
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
5.3%
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (asin.f64 (-.f64 1 x)))
7.1%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
7.0%
(+.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))))))
10.8%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
7.1%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
7.1%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.1%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
7.1%
(log.f64 (exp.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.1%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.1%
(acos.f64 (-.f64 1 x))
5.3%
(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))))
5.3%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
7.1%
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))) -1)
7.1%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.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))))))
10.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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))))))
10.7%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
7.1%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
10.7%
(-.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)
7.1%
(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
7.1%
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
7.1%
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
7.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 3)) (acos.f64 (-.f64 1 x))))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (acos.f64 (-.f64 1 x))))
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
5.3%
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (asin.f64 (-.f64 1 x)))
7.1%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
7.0%
(+.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))))))
10.8%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
7.1%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
7.1%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.1%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
7.1%
(log.f64 (exp.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.1%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2156 to 1856 computations (13.9% saved)

localize981.0ms (9.7%)

Local Accuracy

Found 18 expressions with local accuracy:

NewAccuracyProgram
98.4%
(pow.f64 (cbrt.f64 (PI.f64)) 2)
98.4%
(cbrt.f64 (PI.f64))
10.9%
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (acos.f64 (-.f64 1 x))))
7.1%
(acos.f64 (-.f64 1 x))
99.9%
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
99.9%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
10.7%
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
7.1%
(acos.f64 (-.f64 1 x))
99.9%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
99.9%
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)
11.0%
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
7.1%
(acos.f64 (-.f64 1 x))
11.0%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
7.1%
(acos.f64 (-.f64 1 x))
98.6%
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
98.5%
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
97.6%
(asin.f64 (-.f64 1 x))
9.2%
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
Compiler

Compiled 347 to 262 computations (24.5% saved)

series30.0ms (0.3%)

Counts
12 → 96
Calls

30 calls:

TimeVariablePointExpression
22.0ms
x
@0
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
1.0ms
x
@0
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
1.0ms
x
@inf
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
1.0ms
x
@-inf
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
1.0ms
x
@0
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))

rewrite83.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
978×add-sqr-sqrt
958×pow1
914×add-exp-log
914×add-log-exp
914×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045402
11036402
Stop Event
node limit
Counts
12 → 126
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.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 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (acos.f64 (-.f64 1 x))))
(cbrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (PI.f64)) 2)
Outputs
(+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(*.f64 1 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (cbrt.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(pow.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1)
(log.f64 (exp.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(*.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (-.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(pow.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1)
(log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 0))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1) (+.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0) 1)
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (acos.f64 (-.f64 1 x)) 0)) (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(+.f64 1 (neg.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 1 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 3)) (+.f64 1 (+.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(pow.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) 1)
(log.f64 (exp.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(exp.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(*.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (sqrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(-.f64 (/.f64 1 (-.f64 -2 (acos.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 -2 (acos.f64 (-.f64 1 x)))))
(*.f64 1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (-.f64 -2 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))))
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x)))) 1)
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))) (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1) (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))))
(/.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) 1)
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(pow.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(exp.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1) (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))))
(/.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 1)
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(exp.f64 (log.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (+.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 1)
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(*.f64 1 (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (PI.f64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 1)
(log.f64 (exp.f64 (cbrt.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))
(*.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))

simplify99.0ms (1%)

Algorithm
egg-herbie
Rules
782×times-frac
626×unswap-sqr
586×cancel-sign-sub-inv
558×associate-*r*
554×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03556890
18816774
238266642
Stop Event
node limit
Counts
222 → 177
Calls
Call 1
Inputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2))
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)) (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)) (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)) (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)) (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
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(acos.f64 (-.f64 1 x))
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(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(pow.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(exp.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1) (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))))
(/.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 1)
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(exp.f64 (log.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (+.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 1)
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(*.f64 1 (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (PI.f64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/3)
(pow.f64 (cbrt.f64 (PI.f64)) 1)
(log.f64 (exp.f64 (cbrt.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))
(*.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
Outputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x)))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(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 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2))
(-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (+.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (+.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 -1 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (+.f64 2 (acos.f64 (-.f64 1 x))))
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(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(+.f64 -1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(+.f64 -1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(pow.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1)
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(acos.f64 (-.f64 1 x))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1) (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))))
(/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3)) (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3)) (-.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(/.f64 (+.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1)) (+.f64 -1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (acos.f64 (-.f64 1 x)) (+.f64 -1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) 3)) (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 (PI.f64) 1) (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 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) 3)) (fma.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (+.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (PI.f64) 1) (acos.f64 (-.f64 1 x))) (/.f64 (-.f64 (*.f64 (PI.f64) 1) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(*.f64 1 (cbrt.f64 (PI.f64)))
(cbrt.f64 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (PI.f64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(pow.f64 (PI.f64) 1/3)
(cbrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (PI.f64)) 1)
(cbrt.f64 (PI.f64))
(log.f64 (exp.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(expm1.f64 (log1p.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(exp.f64 (log.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(log1p.f64 (expm1.f64 (cbrt.f64 (PI.f64))))
(cbrt.f64 (PI.f64))
(*.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2))
(pow.f64 (cbrt.f64 (PI.f64)) 2)
(cbrt.f64 (pow.f64 (PI.f64) 2))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))
(pow.f64 (cbrt.f64 (PI.f64)) 2)
(cbrt.f64 (pow.f64 (PI.f64) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(pow.f64 (cbrt.f64 (PI.f64)) 2)
(cbrt.f64 (pow.f64 (PI.f64) 2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(pow.f64 (cbrt.f64 (PI.f64)) 2)
(cbrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(pow.f64 (cbrt.f64 (PI.f64)) 2)
(cbrt.f64 (pow.f64 (PI.f64) 2))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(pow.f64 (cbrt.f64 (PI.f64)) 2)
(cbrt.f64 (pow.f64 (PI.f64) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(pow.f64 (cbrt.f64 (PI.f64)) 2)
(cbrt.f64 (pow.f64 (PI.f64) 2))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(pow.f64 (cbrt.f64 (PI.f64)) 2)
(cbrt.f64 (pow.f64 (PI.f64) 2))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(pow.f64 (cbrt.f64 (PI.f64)) 2)
(cbrt.f64 (pow.f64 (PI.f64) 2))

eval504.0ms (5%)

Compiler

Compiled 28773 to 23446 computations (18.5% saved)

prune151.0ms (1.5%)

Pruning

39 alts after pruning (31 fresh and 8 done)

PrunedKeptTotal
New9756981
Fresh02525
Picked145
Done044
Total976391015
Accurracy
11.0%
Counts
1015 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.3%
(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))))
5.3%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
7.1%
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))) -1)
7.1%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
10.7%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (asin.f64 (-.f64 1 x))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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))))))
10.7%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
7.1%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
10.7%
(-.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)
7.1%
(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
7.1%
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
7.1%
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
7.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 3)) (acos.f64 (-.f64 1 x))))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (acos.f64 (-.f64 1 x))))
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
5.3%
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (asin.f64 (-.f64 1 x)))
7.1%
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
7.1%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
7.0%
(+.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))))))
10.8%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
7.1%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
7.1%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.1%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
7.1%
(log.f64 (exp.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.1%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.1%
(acos.f64 (-.f64 1 x))
5.3%
(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))))
5.3%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
7.1%
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))) -1)
7.1%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
10.7%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (asin.f64 (-.f64 1 x))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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))))))
10.7%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
7.1%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
10.7%
(-.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)
7.1%
(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
7.1%
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
7.1%
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
7.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 3)) (acos.f64 (-.f64 1 x))))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (acos.f64 (-.f64 1 x))))
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
5.3%
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (asin.f64 (-.f64 1 x)))
7.1%
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
7.1%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
7.0%
(+.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))))))
10.8%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
7.1%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
7.1%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.1%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
7.1%
(log.f64 (exp.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.1%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2804 to 2398 computations (14.5% saved)

localize1.4s (13.8%)

Local Accuracy

Found 18 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))
10.9%
(-.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)))))
7.1%
(acos.f64 (-.f64 1 x))
98.4%
(cbrt.f64 (PI.f64))
97.5%
(pow.f64 (cbrt.f64 (PI.f64)) 3)
10.9%
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 3)) (acos.f64 (-.f64 1 x))))
7.1%
(acos.f64 (-.f64 1 x))
100.0%
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
10.7%
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
7.1%
(acos.f64 (-.f64 1 x))
99.9%
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)
10.9%
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
7.1%
(acos.f64 (-.f64 1 x))
98.5%
(cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
98.5%
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
97.6%
(asin.f64 (-.f64 1 x))
9.2%
(fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
Compiler

Compiled 471 to 367 computations (22.1% saved)

series62.0ms (0.6%)

Counts
10 → 68
Calls

21 calls:

TimeVariablePointExpression
23.0ms
x
@-inf
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
17.0ms
x
@0
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
11.0ms
x
@inf
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
3.0ms
x
@0
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
2.0ms
x
@0
(cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))

rewrite87.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
708×add-sqr-sqrt
694×pow1
688×*-un-lft-identity
664×add-exp-log
662×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037252
1823190
Stop Event
node limit
Counts
10 → 288
Calls
Call 1
Inputs
(cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 3)) (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (*.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))) 1)
(*.f64 1 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) 1/6) (pow.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))) 1/3))
(pow.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))))
(+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) -1)
(*.f64 1 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)) 2) (cbrt.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)))
(*.f64 (sqrt.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)) (sqrt.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 2) (+.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 2) -1) (/.f64 1 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 2) (+.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 2) -1)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 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 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 0 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.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 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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)))))
(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 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (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))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 4))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) 3) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 1/6) 3) (pow.f64 (pow.f64 (PI.f64) 1/6) 3))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (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 (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 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 1/2 (PI.f64) (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 1/2 (PI.f64) (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 1 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (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 1 (+.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 -1 (acos.f64 (-.f64 1 x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (*.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 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 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 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 0 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.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 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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)))))
(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 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (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))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 1 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))) (sqrt.f64 (pow.f64 (cbrt.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 (exp.f64 (log1p.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 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 1/4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2))
(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 (pow.f64 (*.f64 (PI.f64) 1/2) 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)))

simplify125.0ms (1.2%)

Algorithm
egg-herbie
Rules
1542×fma-neg
746×log-prod
522×exp-prod
486×div-sub
460×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052710174
112029584
243839570
Stop Event
node limit
Counts
356 → 292
Calls
Call 1
Inputs
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(pow.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))) 1/3)
(pow.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))) 1/3)
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(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.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 -1 (acos.f64 (-.f64 1 x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (*.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 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 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 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 0 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.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 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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)))))
(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 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (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))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 1 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))) (sqrt.f64 (pow.f64 (cbrt.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 (exp.f64 (log1p.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 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 1/4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2))
(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 (pow.f64 (*.f64 (PI.f64) 1/2) 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
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(cbrt.f64 (fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 1/2 (PI.f64)) 2)))
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(cbrt.f64 (fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 1/2 (PI.f64)) 2)))
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(cbrt.f64 (fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 1/2 (PI.f64)) 2)))
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(cbrt.f64 (fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 1/2 (PI.f64)) 2)))
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(cbrt.f64 (fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 1/2 (PI.f64)) 2)))
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(cbrt.f64 (fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 1/2 (PI.f64)) 2)))
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(cbrt.f64 (fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 1/2 (PI.f64)) 2)))
(pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3)
(cbrt.f64 (fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 1/2 (PI.f64)) 2)))
(pow.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))) 1/3)
(cbrt.f64 (fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 1/2 (PI.f64)) 2)))
(pow.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))) 1/3)
(cbrt.f64 (fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 1/2 (PI.f64)) 2)))
(pow.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))) 1/3)
(cbrt.f64 (fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 1/2 (PI.f64)) 2)))
(pow.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))) 1/3)
(cbrt.f64 (fma.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 1/2 (PI.f64)) 2)))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.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)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))))
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(acos.f64 (-.f64 1 x))
(neg.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(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))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.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 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 1/2 (PI.f64) (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)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(*.f64 1 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) 1/2) 1/3)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2)
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(fabs.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/3))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (*.f64 1/2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 1/4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(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 (pow.f64 (*.f64 (PI.f64) 1/2) 2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (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)

eval944.0ms (9.3%)

Compiler

Compiled 52989 to 42859 computations (19.1% saved)

prune213.0ms (2.1%)

Pruning

48 alts after pruning (40 fresh and 8 done)

PrunedKeptTotal
New1156221178
Fresh81826
Picked325
Done268
Total1169481217
Accurracy
11.0%
Counts
1217 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.7%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) -2)
5.3%
(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))))
5.3%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
7.1%
(pow.f64 (cbrt.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)) 3)
7.1%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (*.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
10.7%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (asin.f64 (-.f64 1 x))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.8%
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (asin.f64 (-.f64 1 x))))) (*.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
10.8%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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))))))
10.7%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
7.1%
(/.f64 (+.f64 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
10.7%
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) -1) 1)
7.1%
(-.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 3) 1)
7.1%
(-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1)
7.1%
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2) 1) 1)
7.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.1%
(-.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 3 (acos.f64 (-.f64 1 x))))) 1)
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 3)) (acos.f64 (-.f64 1 x))))
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
5.3%
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (asin.f64 (-.f64 1 x)))
7.1%
(+.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))))
10.7%
(+.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))))
7.1%
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
7.1%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
7.1%
(+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)
7.1%
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
7.1%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))
7.1%
(*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
7.1%
(*.f64 2 (log.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))
7.1%
(*.f64 2 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
7.1%
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
7.1%
(*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))))
7.1%
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (exp.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)))
7.1%
(log.f64 (exp.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.1%
(exp.f64 (log.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)))
7.1%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2342 to 1974 computations (15.7% saved)

regimes68.0ms (0.7%)

Counts
65 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2) 1) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(exp.f64 (log.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)))
(log.f64 (exp.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 3) 1)
(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)) 3)
(/.f64 (+.f64 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 3 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(log.f64 (exp.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))))
(*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 3)) (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(*.f64 2 (log.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) -2)
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) -1) 1)
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))) -1)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(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 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (acos.f64 (-.f64 1 x))))
(-.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 2 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (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) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (asin.f64 (-.f64 1 x))))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (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 (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 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (*.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (asin.f64 (-.f64 1 x))))) (*.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
Outputs
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
Calls

3 calls:

26.0ms
x
7.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.8%1x
10.8%1(acos.f64 (-.f64 1 x))
10.8%1(-.f64 1 x)
Compiler

Compiled 1340 to 1107 computations (17.4% saved)

regimes64.0ms (0.6%)

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

3 calls:

25.0ms
x
7.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.8%1(acos.f64 (-.f64 1 x))
10.8%1x
10.8%1(-.f64 1 x)
Compiler

Compiled 1182 to 980 computations (17.1% saved)

regimes61.0ms (0.6%)

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

3 calls:

24.0ms
x
7.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.8%1(acos.f64 (-.f64 1 x))
10.8%1x
10.8%1(-.f64 1 x)
Compiler

Compiled 1104 to 917 computations (16.9% saved)

regimes56.0ms (0.6%)

Counts
58 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2) 1) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(exp.f64 (log.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)))
(log.f64 (exp.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 3) 1)
(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)) 3)
(/.f64 (+.f64 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 3 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(log.f64 (exp.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))))
(*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 3)) (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(*.f64 2 (log.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) -2)
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) -1) 1)
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))) -1)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(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 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (acos.f64 (-.f64 1 x))))
(-.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 2 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (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) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Outputs
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
Calls

3 calls:

23.0ms
x
7.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.8%1(acos.f64 (-.f64 1 x))
10.8%1x
10.8%1(-.f64 1 x)
Compiler

Compiled 915 to 763 computations (16.6% saved)

regimes54.0ms (0.5%)

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

3 calls:

23.0ms
x
7.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.8%1(acos.f64 (-.f64 1 x))
10.8%1x
10.8%1(-.f64 1 x)
Compiler

Compiled 840 to 704 computations (16.2% saved)

regimes51.0ms (0.5%)

Counts
55 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2) 1) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(exp.f64 (log.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)))
(log.f64 (exp.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 3) 1)
(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)) 3)
(/.f64 (+.f64 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 3 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(log.f64 (exp.f64 (exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))))
(*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 3)) (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(*.f64 2 (log.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) -2)
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) -1) 1)
(fma.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))) -1)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(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 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (acos.f64 (-.f64 1 x))))
(-.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 2 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (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) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Outputs
(+.f64 (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))))
Calls

3 calls:

22.0ms
x
6.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.8%1x
10.8%1(-.f64 1 x)
10.8%1(acos.f64 (-.f64 1 x))
Compiler

Compiled 805 to 678 computations (15.8% saved)

regimes44.0ms (0.4%)

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

3 calls:

19.0ms
x
6.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.7%1x
10.7%1(acos.f64 (-.f64 1 x))
10.7%1(-.f64 1 x)
Compiler

Compiled 644 to 550 computations (14.6% saved)

regimes26.0ms (0.3%)

Counts
28 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (-.f64 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2) 1) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(exp.f64 (log.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)))
(log.f64 (exp.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 3) 1)
(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)) 3)
(/.f64 (+.f64 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 3 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
Outputs
(-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1)
Calls

3 calls:

11.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
7.1%1(acos.f64 (-.f64 1 x))
7.1%1(-.f64 1 x)
7.1%1x
Compiler

Compiled 299 to 262 computations (12.4% saved)

regimes9.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
Outputs
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
Calls

3 calls:

4.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
7.1%1(acos.f64 (-.f64 1 x))
7.1%1(-.f64 1 x)
7.1%1x
Compiler

Compiled 50 to 42 computations (16% saved)

regimes7.0ms (0.1%)

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

3 calls:

3.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
7.1%1(acos.f64 (-.f64 1 x))
7.1%1(-.f64 1 x)
7.1%1x
Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

2.0ms
x
2.0ms
(-.f64 1 x)
1.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
7.1%1(acos.f64 (-.f64 1 x))
7.1%1(-.f64 1 x)
7.1%1x
Compiler

Compiled 16 to 12 computations (25% saved)

simplify22.0ms (0.2%)

Algorithm
egg-herbie
Rules
38×+-commutative
32×unsub-neg
32×*-commutative
28×neg-mul-1
20×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0644294968113
1984294968113
21134294968113
31284294968113
41494294968113
51824294968113
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (*.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.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 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)
(acos.f64 (-.f64 1 x))
Outputs
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (*.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) 1/3) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (pow.f64 (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1/3))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 1/4 (*.f64 (PI.f64) (PI.f64)))))
(+.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 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (-.f64 (+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 2) 1) 1)
(-.f64 (-.f64 (+.f64 2 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 1) 1)
(+.f64 (+.f64 (+.f64 2 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) -1) -1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) -2)
(acos.f64 (-.f64 1 x))
Compiler

Compiled 345 to 288 computations (16.5% saved)

soundness1.2s (11.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114611
2179511
060396
1147392
2495392
32261392
45297392
024215
1527167
26557167
045402
11036402
0711
114611
2179511
024215
1527167
26557167
037252
1823190
0711
114611
2179511
060396
1147392
2495392
32261392
45297392
024215
1527167
26557167
024215
1527167
26557167
024215
1527167
26557167
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1469 to 1180 computations (19.7% saved)

end0.0ms (0%)

preprocess194.0ms (1.9%)

Compiler

Compiled 696 to 566 computations (18.7% saved)

Profiling

Loading profile data...