bug323 (missed optimization)

Time bar (total: 12.5s)

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)

sample1.9s (15.1%)

Results
1.2s4218×body1024valid
383.0ms2059×body512valid
169.0ms1600×body256valid
135.0ms379×body2048valid
Bogosity

preprocess16.0ms (0.1%)

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)

simplify5.0ms (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
6.7%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(acos.f64 (-.f64 1 x))
6.7%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 10 to 8 computations (20% saved)

localize48.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
6.7%
(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))

rewrite51.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify52.0ms (0.4%)

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)

prune19.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New18826
Fresh000
Picked011
Done000
Total18927
Accurracy
6.7%
Counts
27 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
6.7%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
6.7%
(/.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))))))
6.7%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
6.7%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.7%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.7%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.7%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
6.7%
(acos.f64 (-.f64 1 x))
6.7%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
6.7%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
6.7%
(/.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))))))
6.7%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
6.7%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.7%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.7%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.7%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
6.7%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 570 to 476 computations (16.5% saved)

localize905.0ms (7.2%)

Local Accuracy

Found 15 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)
97.8%
(asin.f64 (-.f64 1 x))
10.5%
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
99.9%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
99.4%
(/.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))))
97.8%
(asin.f64 (-.f64 1 x))
10.1%
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
100.0%
(log.f64 (acos.f64 (-.f64 1 x)))
92.3%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
6.7%
(acos.f64 (-.f64 1 x))
10.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.7%
(acos.f64 (-.f64 1 x))
10.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.7%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 291 to 223 computations (23.4% saved)

series52.0ms (0.4%)

Counts
12 → 100
Calls

33 calls:

TimeVariablePointExpression
20.0ms
x
@0
(log.f64 (acos.f64 (-.f64 1 x)))
14.0ms
x
@inf
(log.f64 (acos.f64 (-.f64 1 x)))
10.0ms
x
@-inf
(log.f64 (acos.f64 (-.f64 1 x)))
1.0ms
x
@0
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
1.0ms
x
@0
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))

rewrite123.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
588×add-sqr-sqrt
580×pow1
572×*-un-lft-identity
556×add-exp-log
552×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027208
1598208
Stop Event
node limit
Counts
12 → 636
Calls
Call 1
Inputs
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (*.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))
(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 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
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(fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 1 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.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 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (*.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) 1) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1))
(*.f64 1 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2) (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (sqrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.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))))) (acos.f64 (-.f64 1 x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))) 3))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))) 3)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (+.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))) 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))) 3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (-.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (*.f64 (*.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))))
(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 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (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)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -1 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (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))
(fabs.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (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 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (PI.f64) (*.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) 1/2)))
(*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (*.f64 (PI.f64) 1/2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (pow.f64 (PI.f64) 3) 1/8)
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(*.f64 (*.f64 1/2 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1) (*.f64 (PI.f64) 1/2))
(*.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(*.f64 (*.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(*.f64 (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (PI.f64) 2)) 1/4)
(*.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/2 (pow.f64 (PI.f64) 2))) 1/2)
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (PI.f64)) 1/2)
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/2) (PI.f64))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(log.f64 (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)) 2) (asin.f64 (-.f64 1 x)))
(*.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 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(*.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(*.f64 (*.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.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)))

simplify268.0ms (2.1%)

Algorithm
egg-herbie
Rules
998×fma-def
742×associate-/l*
618×log-prod
502×associate-/r*
468×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076233070
1191730932
2753730932
Stop Event
node limit
Counts
736 → 473
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))
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(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 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (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)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -1 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (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))
(fabs.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (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 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (PI.f64) (*.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) 1/2)))
(*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (*.f64 (PI.f64) 1/2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 (pow.f64 (PI.f64) 3) 1/8)
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(*.f64 (*.f64 1/2 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 3))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1) (*.f64 (PI.f64) 1/2))
(*.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(*.f64 (*.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(*.f64 (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (PI.f64) 2)) 1/4)
(*.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/2 (pow.f64 (PI.f64) 2))) 1/2)
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (PI.f64)) 1/2)
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/2) (PI.f64))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(log.f64 (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)) 2) (asin.f64 (-.f64 1 x)))
(*.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 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(*.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(*.f64 (*.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.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))
(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))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(log.f64 (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
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(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 2) 1/4) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
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(pow.f64 (asin.f64 (-.f64 1 x)) 1)
(asin.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/2)
(asin.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/3)
(asin.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(asin.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(asin.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(asin.f64 (-.f64 1 x))
(fabs.f64 (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(asin.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(asin.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(asin.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.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))
(*.f64 1 (*.f64 1/8 (pow.f64 (PI.f64) 3)))
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(*.f64 (PI.f64) (*.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (PI.f64) (*.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) 1/2)))
(*.f64 (PI.f64) (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/2))))
(*.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) (*.f64 1/4 (PI.f64)))))
(*.f64 1/2 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))))
(*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (*.f64 (PI.f64) 1/2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 3) 1/8)
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
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(*.f64 (*.f64 1/2 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (PI.f64)))
(*.f64 1/8 (pow.f64 (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))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1) (*.f64 (PI.f64) 1/2))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (*.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))))
(*.f64 (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (PI.f64) 2)) 1/4)
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/2 (pow.f64 (PI.f64) 2))) 1/2)
(*.f64 1/2 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 2) 1/2)))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (PI.f64)) 1/2)
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 1/2) (PI.f64))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/8))
(*.f64 1/8 (pow.f64 (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))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(exp.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(*.f64 1/8 (pow.f64 (PI.f64) 3))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3))))
(*.f64 1/8 (pow.f64 (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)) 2) (asin.f64 (-.f64 1 x)))
(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 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
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(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
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(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
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(*.f64 (*.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(*.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)

eval497.0ms (4%)

Compiler

Compiled 28403 to 23104 computations (18.7% saved)

prune170.0ms (1.4%)

Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New88625911
Fresh123
Picked235
Done011
Total88931920
Accurracy
10.3%
Counts
920 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
4.8%
(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))))
4.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.7%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
6.7%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
10.1%
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 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))))))
10.1%
(/.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) 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))))))
10.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.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))))))
10.1%
(/.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) 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))))))
10.1%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
6.7%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
6.7%
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.7%
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
6.7%
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
6.7%
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
6.7%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
6.7%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.7%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.7%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.0%
(+.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))))
6.7%
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
6.7%
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
6.7%
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))
6.7%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.7%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
6.7%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
6.7%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.7%
(exp.f64 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.7%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
6.7%
(acos.f64 (-.f64 1 x))
6.7%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
4.8%
(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))))
4.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.7%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
6.7%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
10.1%
(/.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 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))))))
10.1%
(/.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) 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))))))
10.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.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))))))
10.1%
(/.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) 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))))))
10.1%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
6.7%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
6.7%
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
6.7%
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
6.7%
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
6.7%
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
6.7%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
6.7%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.7%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.7%
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.0%
(+.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))))
6.7%
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
6.7%
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
6.7%
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))
6.7%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.7%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
6.7%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
6.7%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.7%
(exp.f64 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.7%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
6.7%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2408 to 2072 computations (14% saved)

localize2.8s (22.6%)

Local Accuracy

Found 18 expressions with local accuracy:

NewAccuracyProgram
98.6%
(sqrt.f64 (asin.f64 (-.f64 1 x)))
97.8%
(asin.f64 (-.f64 1 x))
6.7%
(acos.f64 (-.f64 1 x))
3.2%
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))
100.0%
(log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
92.3%
(exp.f64 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
10.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.7%
(acos.f64 (-.f64 1 x))
100.0%
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
99.9%
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))
10.6%
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
6.7%
(acos.f64 (-.f64 1 x))
10.2%
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
6.7%
(acos.f64 (-.f64 1 x))
98.5%
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
98.4%
(pow.f64 (*.f64 (PI.f64) 1/2) 3)
97.8%
(asin.f64 (-.f64 1 x))
10.5%
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
Compiler

Compiled 365 to 293 computations (19.7% saved)

series6.0ms (0%)

Counts
9 → 100
Calls

27 calls:

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

rewrite81.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
700×add-sqr-sqrt
692×pow1
682×*-un-lft-identity
658×log1p-expm1-u
656×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035303
1723271
Stop Event
node limit
Counts
9 → 240
Calls
Call 1
Inputs
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (log.f64 (exp.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)))
(sqrt.f64 (asin.f64 (-.f64 1 x)))
Outputs
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 (PI.f64) 1/2) 2) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 1 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(+.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 (asin.f64 (-.f64 1 x)) 3) 1))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1)))
(*.f64 1 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2) (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (sqrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 3)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) (acos.f64 (-.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 3))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9))) (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (*.f64 (PI.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))))))
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(log1p.f64 (expm1.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (/.f64 1 (-.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (neg.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) (/.f64 1 (neg.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))) 2)) (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))) (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (sqrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2) (pow.f64 (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2) (sqrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) (sqrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) 1) (/.f64 (sqrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) (pow.f64 (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))) 2)) (/.f64 (sqrt.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))))
(pow.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))) 2)
(pow.f64 (/.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1)) -1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x)))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) (pow.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))) 1) (-.f64 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 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (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)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(+.f64 0 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
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(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
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(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))
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(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/2))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (+.f64 0 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 0 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 0 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/2)
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(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2)
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(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))

simplify92.0ms (0.7%)

Algorithm
egg-herbie
Rules
564×associate-*r*
524×associate-*l*
488×fma-def
332×sqr-pow
330×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05779222
114719222
Stop Event
node limit
Counts
340 → 260
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))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
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(+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
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(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (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)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(+.f64 0 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 0 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(-.f64 0 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/2))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (+.f64 0 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 0 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 0 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) 1/3)
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(fabs.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
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))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(acos.f64 (-.f64 1 x))
(*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(acos.f64 (-.f64 1 x))
(*.f64 (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(acos.f64 (-.f64 1 x))
(*.f64 (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(acos.f64 (-.f64 1 x))
(*.f64 (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(acos.f64 (-.f64 1 x))
(/.f64 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (fma.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (fma.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (fma.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (fma.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (fma.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (fma.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (fma.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (*.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (fma.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (*.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (fma.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (*.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (fma.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (*.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (fma.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (*.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))) (-.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (fma.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (acos.f64 (-.f64 1 x))) 1) (-.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))
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(pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1)
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 3)
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3)
(log.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)
(log.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3))
(log.f64 (acos.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(log.f64 (acos.f64 (-.f64 1 x)))
(log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(log.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
0
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
0
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
0
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
0
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
0
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)
0
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) 1/3)
0
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)
0
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))
0
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
0
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))
0
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1))
0
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
0
(+.f64 0 (sqrt.f64 (asin.f64 (-.f64 1 x))))
0
(-.f64 0 (sqrt.f64 (asin.f64 (-.f64 1 x))))
0
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 1)
0
(*.f64 1 (sqrt.f64 (asin.f64 (-.f64 1 x))))
0
(*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))
0
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
0
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
0
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
0
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (asin.f64 (-.f64 1 x))))
0
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1/2))
0
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (+.f64 0 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 0 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
0
(/.f64 (-.f64 0 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
0
(pow.f64 (asin.f64 (-.f64 1 x)) 1/2)
0
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1)
0
(pow.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 3)
0
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2)
0
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) 1/3)
0
(neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))
0
(fabs.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))
0
(log.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
0
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))))
0
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2))
0
(expm1.f64 (log1p.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
0
(exp.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
0
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/2))
0
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1))
0
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
0

eval888.0ms (7.1%)

Compiler

Compiled 50032 to 41591 computations (16.9% saved)

prune249.0ms (2%)

Pruning

46 alts after pruning (38 fresh and 8 done)

PrunedKeptTotal
New1571201591
Fresh41822
Picked145
Done044
Total1576461622
Accurracy
10.3%
Counts
1622 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
6.7%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
4.8%
(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))))
4.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.7%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
6.7%
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
6.7%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
10.1%
(/.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) 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))))))
10.1%
(/.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) 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))))))
10.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.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))))))
10.1%
(/.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) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
10.1%
(/.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) 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))))))
10.1%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
6.7%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
6.7%
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
6.7%
(/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) 3)) (-.f64 2 (acos.f64 (-.f64 1 x))))
6.9%
(/.f64 (+.f64 1 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2))) (-.f64 2 (acos.f64 (-.f64 1 x))))
6.7%
(/.f64 (+.f64 1 (log1p.f64 (expm1.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
6.7%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
6.7%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.7%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.7%
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
6.7%
(+.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))))))
6.7%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
10.1%
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
4.8%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.0%
(+.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))))
6.8%
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
6.8%
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
6.7%
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
6.7%
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
6.7%
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))
6.7%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.7%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
6.7%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
6.7%
(log.f64 (exp.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
6.7%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
3.0%
(exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
10.0%
(exp.f64 (log.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))))))
6.7%
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
6.7%
(exp.f64 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.7%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
6.7%
(acos.f64 (-.f64 1 x))
6.7%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
6.7%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
4.8%
(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))))
4.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.7%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
6.7%
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
6.7%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
10.1%
(/.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) 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))))))
10.1%
(/.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) 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))))))
10.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.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))))))
10.1%
(/.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) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
10.1%
(/.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) 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))))))
10.1%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
6.7%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
6.7%
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
6.7%
(/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) 3)) (-.f64 2 (acos.f64 (-.f64 1 x))))
6.9%
(/.f64 (+.f64 1 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2))) (-.f64 2 (acos.f64 (-.f64 1 x))))
6.7%
(/.f64 (+.f64 1 (log1p.f64 (expm1.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
6.7%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
6.7%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.7%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.7%
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
6.7%
(+.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))))))
6.7%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
10.1%
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
4.8%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.0%
(+.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))))
6.8%
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
6.8%
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
6.7%
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
6.7%
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
6.7%
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))
6.7%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.7%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
6.7%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
6.7%
(log.f64 (exp.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
6.7%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
3.0%
(exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
10.0%
(exp.f64 (log.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))))))
6.7%
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
6.7%
(exp.f64 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.7%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
6.7%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 3452 to 2982 computations (13.6% saved)

localize1.4s (11.5%)

Local Accuracy

Found 17 expressions with local accuracy:

NewAccuracyProgram
99.5%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
9.9%
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
9.8%
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
6.7%
(acos.f64 (-.f64 1 x))
100.0%
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
92.3%
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
9.9%
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
6.7%
(acos.f64 (-.f64 1 x))
100.0%
(log.f64 (acos.f64 (-.f64 1 x)))
91.7%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
6.7%
(acos.f64 (-.f64 1 x))
97.8%
(asin.f64 (-.f64 1 x))
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
98.5%
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
98.4%
(pow.f64 (*.f64 (PI.f64) 1/2) 3)
97.8%
(asin.f64 (-.f64 1 x))
10.5%
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
Compiler

Compiled 354 to 286 computations (19.2% saved)

series176.0ms (1.4%)

Counts
9 → 84
Calls

27 calls:

TimeVariablePointExpression
41.0ms
x
@inf
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
22.0ms
x
@0
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
18.0ms
x
@-inf
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
13.0ms
x
@-inf
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
13.0ms
x
@inf
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))

rewrite137.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
800×expm1-udef
796×log1p-udef
544×add-sqr-sqrt
532×pow1
526×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031205
1622131
26949131
Stop Event
node limit
Counts
9 → 448
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
Outputs
(+.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 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(-.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(-.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(/.f64 (-.f64 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)))) (*.f64 2 (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)))) (*.f64 2 (-.f64 (+.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (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))))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (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 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 3 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 2)
(*.f64 2 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (-.f64 (+.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 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 (acos.f64 (-.f64 1 x)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (/.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (+.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 2 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 2 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))) (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 1 (/.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(/.f64 1 (/.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 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
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(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))

simplify137.0ms (1.1%)

Algorithm
egg-herbie
Rules
1500×times-frac
990×associate-*r*
926×fma-def
816×associate-*l*
672×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048318296
1117213154
Stop Event
node limit
Counts
532 → 286
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.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))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.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 (*.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 (*.f64 -1 x))))))
(*.f64 2 (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 2 (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 2 (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 2 (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 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(+.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 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(-.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(-.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(/.f64 (-.f64 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)))) (*.f64 2 (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)))) (*.f64 2 (-.f64 (+.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (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))))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (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 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 3 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) 2)
(*.f64 2 (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (+.f64 (*.f64 8 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (-.f64 (+.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)) (*.f64 2 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 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 (acos.f64 (-.f64 1 x)) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (/.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(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))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(fma.f64 1 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
Outputs
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(-.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)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (E.f64) (log.f64 (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)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(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))))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 2/3)
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -1 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(asin.f64 (-.f64 1 x))
(-.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
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(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
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(fma.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (*.f64 2 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))

eval613.0ms (4.9%)

Compiler

Compiled 34043 to 28390 computations (16.6% saved)

prune164.0ms (1.3%)

Pruning

50 alts after pruning (41 fresh and 9 done)

PrunedKeptTotal
New1039141053
Fresh62733
Picked235
Done268
Total1049501099
Accurracy
10.3%
Counts
1099 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
6.7%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
4.8%
(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))))
4.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.7%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
6.7%
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
6.7%
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
10.1%
(/.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) 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))))))
10.1%
(/.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) 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))))))
10.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.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))))))
10.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
10.1%
(/.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) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
10.1%
(/.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) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
10.1%
(/.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) 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))))))
10.1%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
6.7%
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
6.7%
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
6.7%
(/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) 3)) (-.f64 2 (acos.f64 (-.f64 1 x))))
6.7%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
6.7%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.1%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
6.7%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.7%
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
6.7%
(+.f64 (/.f64 4 (/.f64 3 (acos.f64 (-.f64 1 x)))) (*.f64 (acos.f64 (-.f64 1 x)) -1/3))
6.7%
(+.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))))))
6.7%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
6.7%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
6.7%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
10.1%
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.0%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.1%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
4.8%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
6.8%
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
6.7%
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
6.7%
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
6.7%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.7%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
6.7%
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
6.7%
(log.f64 (exp.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
6.7%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
3.0%
(exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
10.0%
(exp.f64 (log.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))))))
6.7%
(exp.f64 (log.f64 (*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))))
6.7%
(exp.f64 (log.f64 (*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 3)))))
6.7%
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))))))
6.7%
(exp.f64 (log.f64 (*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))))
6.7%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
6.7%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2447 to 2088 computations (14.7% saved)

regimes75.0ms (0.6%)

Counts
68 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (/.f64 4 (/.f64 3 (acos.f64 (-.f64 1 x)))) (*.f64 (acos.f64 (-.f64 1 x)) -1/3))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.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) (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 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(exp.f64 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))))
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(/.f64 (+.f64 1 (log1p.f64 (expm1.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) 3)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (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))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 3)))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.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 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(exp.f64 (log.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 (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)) (+.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 (cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))) (+.f64 (*.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) 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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 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 (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (PI.f64) 1/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 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 (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) 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) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (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 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.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) (expm1.f64 (log1p.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
Outputs
(/.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) 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))))))
Calls

3 calls:

29.0ms
x
7.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.1%1x
10.1%1(acos.f64 (-.f64 1 x))
10.1%1(-.f64 1 x)
Compiler

Compiled 1422 to 1196 computations (15.9% saved)

regimes60.0ms (0.5%)

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

3 calls:

25.0ms
x
7.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.1%1x
10.1%1(acos.f64 (-.f64 1 x))
10.1%1(-.f64 1 x)
Compiler

Compiled 1026 to 872 computations (15% saved)

regimes51.0ms (0.4%)

Counts
52 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (/.f64 4 (/.f64 3 (acos.f64 (-.f64 1 x)))) (*.f64 (acos.f64 (-.f64 1 x)) -1/3))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.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) (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 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(exp.f64 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))))
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(/.f64 (+.f64 1 (log1p.f64 (expm1.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) 3)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (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))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 3)))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.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 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
Outputs
(+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
Calls

3 calls:

21.0ms
x
6.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.1%1x
10.1%1(acos.f64 (-.f64 1 x))
10.1%1(-.f64 1 x)
Compiler

Compiled 830 to 712 computations (14.2% saved)

regimes49.0ms (0.4%)

Counts
50 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (/.f64 4 (/.f64 3 (acos.f64 (-.f64 1 x)))) (*.f64 (acos.f64 (-.f64 1 x)) -1/3))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.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) (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 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(exp.f64 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))))
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(/.f64 (+.f64 1 (log1p.f64 (expm1.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) 3)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (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))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 3)))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.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 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
Calls

3 calls:

20.0ms
x
5.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.1%1x
10.1%1(acos.f64 (-.f64 1 x))
10.1%1(-.f64 1 x)
Compiler

Compiled 783 to 673 computations (14% saved)

regimes45.0ms (0.4%)

Counts
46 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (/.f64 4 (/.f64 3 (acos.f64 (-.f64 1 x)))) (*.f64 (acos.f64 (-.f64 1 x)) -1/3))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.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) (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 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(exp.f64 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))))
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(/.f64 (+.f64 1 (log1p.f64 (expm1.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) 3)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (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))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 3)))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.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 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
Outputs
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
Calls

3 calls:

19.0ms
x
5.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.1%1x
10.1%1(acos.f64 (-.f64 1 x))
10.1%1(-.f64 1 x)
Compiler

Compiled 702 to 605 computations (13.8% saved)

regimes40.0ms (0.3%)

Counts
42 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (/.f64 4 (/.f64 3 (acos.f64 (-.f64 1 x)))) (*.f64 (acos.f64 (-.f64 1 x)) -1/3))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.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) (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 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(exp.f64 (log.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))))
(+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(/.f64 (+.f64 1 (log1p.f64 (expm1.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (sqrt.f64 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x)))) 2))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) 3)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (-.f64 -2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (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))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 3)))))
(exp.f64 (log.f64 (*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
Calls

3 calls:

17.0ms
x
5.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.1%1x
10.1%1(acos.f64 (-.f64 1 x))
10.1%1(-.f64 1 x)
Compiler

Compiled 618 to 535 computations (13.4% saved)

regimes21.0ms (0.2%)

Counts
21 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (/.f64 4 (/.f64 3 (acos.f64 (-.f64 1 x)))) (*.f64 (acos.f64 (-.f64 1 x)) -1/3))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.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) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
Calls

3 calls:

9.0ms
x
3.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.0%1x
10.0%1(acos.f64 (-.f64 1 x))
10.0%1(-.f64 1 x)
Compiler

Compiled 244 to 210 computations (13.9% saved)

regimes31.0ms (0.2%)

Counts
20 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (/.f64 4 (/.f64 3 (acos.f64 (-.f64 1 x)))) (*.f64 (acos.f64 (-.f64 1 x)) -1/3))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
Outputs
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
Calls

3 calls:

16.0ms
x
6.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.2%2(acos.f64 (-.f64 1 x))
9.2%2x
9.2%2(-.f64 1 x)
Compiler

Compiled 233 to 201 computations (13.7% saved)

regimes15.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (/.f64 4 (/.f64 3 (acos.f64 (-.f64 1 x)))) (*.f64 (acos.f64 (-.f64 1 x)) -1/3))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
Outputs
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
Calls

3 calls:

6.0ms
x
3.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
6.7%1(acos.f64 (-.f64 1 x))
6.7%1x
6.7%1(-.f64 1 x)
Compiler

Compiled 128 to 111 computations (13.3% saved)

regimes12.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (/.f64 4 (/.f64 3 (acos.f64 (-.f64 1 x)))) (*.f64 (acos.f64 (-.f64 1 x)) -1/3))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
Outputs
(log.f64 (exp.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
Calls

3 calls:

5.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
6.7%1x
6.7%1(acos.f64 (-.f64 1 x))
6.7%1(-.f64 1 x)
Compiler

Compiled 85 to 72 computations (15.3% saved)

regimes11.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (/.f64 4 (/.f64 3 (acos.f64 (-.f64 1 x)))) (*.f64 (acos.f64 (-.f64 1 x)) -1/3))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
Outputs
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
Calls

3 calls:

5.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
6.7%1x
6.7%1(acos.f64 (-.f64 1 x))
6.7%1(-.f64 1 x)
Compiler

Compiled 75 to 63 computations (16% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
6 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (/.f64 4 (/.f64 3 (acos.f64 (-.f64 1 x)))) (*.f64 (acos.f64 (-.f64 1 x)) -1/3))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
Outputs
(acos.f64 (-.f64 1 x))
Calls

3 calls:

4.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
6.7%1x
6.7%1(acos.f64 (-.f64 1 x))
6.7%1(-.f64 1 x)
Compiler

Compiled 61 to 51 computations (16.4% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.9999999999999994
1.0
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify16.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
060700
191700
2116700
3134700
4141700
5142700
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.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) 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 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(+.f64 (log.f64 (exp.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 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 (-.f64 1 x) 1) (log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
Outputs
(/.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) 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 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(+.f64 (log.f64 (exp.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 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 (-.f64 1 x) 1) (log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(if (<=.f64 (-.f64 1 x) 1) (log.f64 (exp.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (exp.f64 (+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
Compiler

Compiled 232 to 197 computations (15.1% saved)

soundness1.0s (8.1%)

Rules
1478×pow1
1478×pow1
1478×pow1
1478×pow1
1478×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114611
2179511
027208
1598208
0711
114611
2179511
027208
1598208
035303
1723271
0711
114611
2179511
027208
1598208
035303
1723271
0711
114611
2179511
060396
1147392
2495392
32261392
45297392
027208
1598208
027208
1598208
0711
114611
2179511
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1373 to 1118 computations (18.6% saved)

end0.0ms (0%)

preprocess149.0ms (1.2%)

Compiler

Compiled 468 to 388 computations (17.1% saved)

Profiling

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