Details

Time bar (total: 14.7s)

analyze0.0ms (0%)

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

Compiled 12 to 9 computations (25% saved)

sample1.7s (11.9%)

Results
1.0s4180×body1024valid
323.0ms2124×body512valid
203.0ms395×body2048valid
152.0ms1557×body256valid
Bogosity

preprocess14.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 6 to 5 computations (16.7% saved)

simplify12.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
7.1%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize50.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite54.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify54.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

eval7.0ms (0%)

Compiler

Compiled 337 to 270 computations (19.9% saved)

prune13.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New17926
Fresh000
Picked011
Done000
Total171027
Accurracy
7.1%
Counts
27 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.1%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
▶7.1%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
7.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
▶7.1%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶7.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶7.1%
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
7.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
▶7.1%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 249 to 210 computations (15.7% saved)

localize251.0ms (1.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
✓99.6%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓98.1%
(asin.f64 (-.f64 1 x))
✓10.4%
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
Compiler

Compiled 83 to 63 computations (24.1% saved)

series4.0ms (0%)

Counts
4 → 40
Calls

12 calls:

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

rewrite147.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
016132
136580
2532680
Stop Event
1×node limit
Counts
4 → 485
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(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)))
Outputs
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))))
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(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 1/4 (PI.f64))) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 1/4 (PI.f64))) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (PI.f64) 2))) (sqrt.f64 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (PI.f64) 2))) (sqrt.f64 1/2) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.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 (PI.f64) 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))

simplify267.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1134×times-frac
800×log-prod
670×associate-*r*
634×associate-*l*
616×fma-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080832285
1184928797
2762728789
Stop Event
1×node limit
Counts
525 → 626
Calls
Call 1
Inputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))))
(*.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (*.f64 (PI.f64) 1/2) 4))))
(*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 1 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(/.f64 1 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (*.f64 (PI.f64) 1/2) 4)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (neg.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (*.f64 (PI.f64) 1/2) 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (neg.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (-.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2) (-.f64 (*.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2) (*.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (-.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (acos.f64 (-.f64 1 x))) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) 1/3)
(pow.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) 1/4) (/.f64 1 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (exp.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 1 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (exp.f64 (fma.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
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(fma.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(-.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (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 1 (acos.f64 (-.f64 1 x))))
(*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 1 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (/.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (/.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(/.f64 (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (acos.f64 (-.f64 1 x)) (hypot.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x)))) (neg.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (*.f64 (PI.f64) 1/2) 4))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (asin.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 1 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (PI.f64) 1/2))
(fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (PI.f64) 1/2))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 1/4 (PI.f64))) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 1/4 (PI.f64))) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (PI.f64) 2))) (sqrt.f64 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (PI.f64) 2))) (sqrt.f64 1/2) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.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 (PI.f64) 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
Outputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(asin.f64 (+.f64 1 (*.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))))
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(*.f64 1 (/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 -1/4 (pow.f64 (PI.f64) 2))) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1)
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3)
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3) 1/3)
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2))
(fabs.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (asin.f64 (-.f64 1 x)) (log.f64 (pow.f64 (exp.f64 1/2) (PI.f64))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) (log.f64 (exp.f64 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(log.f64 (*.f64 (exp.f64 (asin.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(+.f64 (asin.f64 (-.f64 1 x)) (log.f64 (pow.f64 (exp.f64 1/2) (PI.f64))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) (log.f64 (exp.f64 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1) (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1) (acos.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1) (acos.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1) (acos.f64 (-.f64 1 x)))
(fma.f64 1 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1) (acos.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1) (acos.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1) (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 1/4 (PI.f64))) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 1/4 (PI.f64))) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 1/4 (PI.f64))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 1/2) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 (sqrt.f64 (PI.f64))) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 (sqrt.f64 (PI.f64))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))) (fabs.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))) (fabs.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (PI.f64) 2))) (sqrt.f64 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (PI.f64) 2))) (sqrt.f64 1/2) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.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 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (fabs.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 1/2 (cbrt.f64 (PI.f64))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 (sqrt.f64 (PI.f64))) (asin.f64 (-.f64 1 x)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 (sqrt.f64 (PI.f64))) (neg.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 (sqrt.f64 (PI.f64))) (fma.f64 (PI.f64) 1/2 (neg.f64 (acos.f64 (-.f64 1 x)))))

localize96.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓10.5%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 25 to 20 computations (20% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite65.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

simplify71.0ms (0.5%)

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

Useful iterations: 2 (0.0ms)

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

localize126.0ms (0.9%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log.f64 (acos.f64 (-.f64 1 x)))
✓92.6%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 22 to 17 computations (22.7% saved)

series56.0ms (0.4%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
22.0ms
x
@0
(log.f64 (acos.f64 (-.f64 1 x)))
18.0ms
x
@-inf
(log.f64 (acos.f64 (-.f64 1 x)))
15.0ms
x
@inf
(log.f64 (acos.f64 (-.f64 1 x)))
0.0ms
x
@0
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
0.0ms
x
@-inf
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))

rewrite57.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify54.0ms (0.4%)

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

Useful iterations: 3 (0.0ms)

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

localize127.0ms (0.9%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓99.1%
(cbrt.f64 (acos.f64 (-.f64 1 x)))
✓98.9%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 24 to 19 computations (20.8% saved)

series6.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite64.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify51.0ms (0.4%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01041071
12391067
27201067
329471007
Stop Event
1×node limit
Counts
67 → 54
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
Outputs
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(acos.f64 (-.f64 1 x))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/6) 4)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 2)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))

localize192.0ms (1.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.4%
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
✓99.2%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
99.1%
(cbrt.f64 (acos.f64 (-.f64 1 x)))
7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 37 to 30 computations (18.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
0.0ms
x
@0
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
0.0ms
x
@0
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
0.0ms
x
@-inf
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
0.0ms
x
@-inf
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)

rewrite58.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1854×pow1
1722×add-exp-log
1720×log1p-expm1-u
1720×expm1-log1p-u
1690×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
122932
2241232
Stop Event
1×node limit
Counts
2 → 32
Calls
Call 1
Inputs
(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))))
Outputs
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(*.f64 (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(+.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 (-.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))
(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))))

simplify68.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1354×log-prod
1286×fma-def
672×distribute-lft-in
646×distribute-rgt-in
638×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0891178
12071174
25691174
323741130
469711130
Stop Event
1×node limit
Counts
56 → 43
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(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 (+.f64 1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(*.f64 (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(+.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 (-.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))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
Outputs
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 1)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)
(+.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 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (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 (*.f64 (PI.f64) (PI.f64)) 1/4)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(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))
(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))

eval798.0ms (5.4%)

Compiler

Compiled 32939 to 26787 computations (18.7% saved)

prune268.0ms (1.8%)

Pruning

42 alts after pruning (39 fresh and 3 done)

PrunedKeptTotal
New1152371189
Fresh224
Picked101
Done235
Total1157421199
Accurracy
11.0%
Counts
1199 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.3%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
5.3%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
▶10.7%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
3.3%
(fma.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.6%
(fma.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
7.1%
(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)
10.6%
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
5.3%
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
7.1%
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
▶10.7%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
7.1%
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.1%
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/6) 4) 3)
7.1%
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
7.1%
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
7.1%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
10.7%
(/.f64 (fma.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.7%
(/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.7%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.7%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.7%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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))))
7.1%
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
✓7.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.7%
(-.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
5.3%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 1/4 (PI.f64)))) (asin.f64 (-.f64 1 x)))
3.3%
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
5.3%
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (asin.f64 (-.f64 1 x)))
7.1%
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
10.7%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
▶7.1%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
7.1%
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
▶10.7%
(+.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))))
10.7%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
7.1%
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
7.1%
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
▶7.1%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.1%
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
7.1%
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.1%
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
✓7.1%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1875 to 1600 computations (14.7% saved)

localize545.0ms (3.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.6%
(sqrt.f64 (asin.f64 (-.f64 1 x)))
98.1%
(asin.f64 (-.f64 1 x))
7.1%
(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)))
Compiler

Compiled 63 to 50 computations (20.6% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
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
@-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
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))
0.0ms
x
@-inf
(sqrt.f64 (asin.f64 (-.f64 1 x)))
0.0ms
x
@0
(sqrt.f64 (asin.f64 (-.f64 1 x)))

rewrite67.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
906×log-prod
668×prod-diff
566×prod-exp
508×pow-prod-down
488×pow-prod-up
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01166
122842
2282840
Stop Event
1×node limit
Counts
2 → 106
Calls
Call 1
Inputs
(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 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) (asin.f64 (-.f64 1 x))))
(+.f64 0 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 1 (asin.f64 (-.f64 1 x)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 1 (asin.f64 (-.f64 1 x)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 (asin.f64 (-.f64 1 x)) 1 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (asin.f64 (-.f64 1 x)) 1 (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))))
(-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))) 1)
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (pow.f64 (exp.f64 2) (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)) (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))
(pow.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 2))
(log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))) 1)))
(log.f64 (*.f64 (exp.f64 (asin.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (exp.f64 (asin.f64 (-.f64 1 x))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (exp.f64 (asin.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))) 2))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))) 1))
(+.f64 0 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (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 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) -1)
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (cbrt.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 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)))
(*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
(*.f64 (*.f64 -1 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
(/.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 (asin.f64 (-.f64 1 x))) 3/2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/4)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/6)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2)
(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))))))
(log.f64 (/.f64 1 (+.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))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (asin.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))

simplify89.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
826×log-prod
536×associate-+r+
528×distribute-lft-in
508×associate-+l+
494×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02513838
15583202
218082674
373012674
Stop Event
1×node limit
Counts
122 → 156
Calls
Call 1
Inputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) (asin.f64 (-.f64 1 x))))
(+.f64 0 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 1 (asin.f64 (-.f64 1 x)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 1 (asin.f64 (-.f64 1 x)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 (asin.f64 (-.f64 1 x)) 1 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (asin.f64 (-.f64 1 x)) 1 (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 -1 (asin.f64 (-.f64 1 x)) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/4) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) -1))) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (*.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (neg.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 5/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))))
(-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))) 1)
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (pow.f64 (exp.f64 2) (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)) (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))
(pow.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 2))
(log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))) 1)))
(log.f64 (*.f64 (exp.f64 (asin.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (exp.f64 (asin.f64 (-.f64 1 x))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (exp.f64 (asin.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x)))))) 2))
(log1p.f64 (-.f64 (pow.f64 (exp.f64 2) (asin.f64 (-.f64 1 x))) 1))
(+.f64 0 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (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 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) -1)
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (cbrt.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 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)))
(*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
(*.f64 (*.f64 -1 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/4))
(/.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 (asin.f64 (-.f64 1 x))) 3/2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/4)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 1/6)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2)
(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))))))
(log.f64 (/.f64 1 (+.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))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (asin.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x))))
0
(+.f64 (*.f64 -1 (asin.f64 (+.f64 1 (*.f64 -1 x)))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(sqrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1) 1/2))
(sqrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/2) 1))
(sqrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) 1) 1))
(sqrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) 3))
(sqrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) 1/3))
(sqrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (asin.f64 (-.f64 1 x)))) 2))
(sqrt.f64 (asin.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(sqrt.f64 (asin.f64 (-.f64 1 x)))

localize96.0ms (0.7%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (acos.f64 (-.f64 1 x)) -1)
✓10.7%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 26 to 21 computations (19.2% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite71.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01034
122528
2298428
Stop Event
1×node limit
Counts
2 → 157
Calls
Call 1
Inputs
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
Outputs
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 1))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 0) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) -1)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 0)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1 1)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 0)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 1)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(-.f64 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1))
(*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))) 1))
(*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1))
(*.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 -1 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) 1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))
(expm1.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(expm1.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 -1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) -1)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))

simplify79.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
686×difference-of-squares
608×log-prod
574×distribute-lft-neg-in
574×distribute-rgt-neg-in
502×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03535505
18385237
229575027
Stop Event
1×node limit
Counts
181 → 190
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 1))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 0) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) -1)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 0)
(fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1 1)
(fma.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))) 1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 0)
(fma.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0)))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 1)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(-.f64 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1))
(*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))) 1))
(*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1))
(*.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 -1 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) 1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))
(expm1.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(expm1.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 -1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) -1)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(+.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 1))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(acos.f64 (-.f64 1 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)))
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(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (pow.f64 1 1/3) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2)) (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2)) (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 8)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 -1 (acos.f64 (-.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) 1) (+.f64 (acos.f64 (-.f64 1 x)) 1))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 1/2)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1/3)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1)) -1)
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(expm1.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(expm1.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1/3))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1/3))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 2))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 1 (acos.f64 (-.f64 1 x)) -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1)
(-.f64 (fma.f64 (PI.f64) 1/2 -1) (asin.f64 (-.f64 1 x)))
(fma.f64 (acos.f64 (-.f64 1 x)) 1 -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 (PI.f64) 1/2 (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1)
(-.f64 (fma.f64 (PI.f64) 1/2 -1) (asin.f64 (-.f64 1 x)))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(fma.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) -1)
(fma.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) -1)
(+.f64 -1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1)
(-.f64 (fma.f64 (PI.f64) 1/2 -1) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1)
(-.f64 (fma.f64 (PI.f64) 1/2 -1) (asin.f64 (-.f64 1 x)))

localize210.0ms (1.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓99.6%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
✓10.1%
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 39 to 32 computations (17.9% saved)

series52.0ms (0.4%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
25.0ms
x
@0
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
13.0ms
x
@-inf
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
13.0ms
x
@inf
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
0.0ms
x
@-inf
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
0.0ms
x
@inf
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))

rewrite80.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01271
123647
2279147
Stop Event
1×node limit
Counts
3 → 133
Calls
Call 1
Inputs
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
Outputs
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 0)
(+.f64 0 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/6 (acos.f64 (-.f64 1 x))) (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(*.f64 3 (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(*.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 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 2 (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2/3 (acos.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 5/6)) (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 0 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (pow.f64 (E.f64) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/6 (acos.f64 (-.f64 1 x)))) (pow.f64 (E.f64) (*.f64 1/6 (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (E.f64))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (exp.f64 3) (*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (E.f64) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(pow.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (exp.f64 2) (acos.f64 (-.f64 1 x))) 1/6)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3) 1/9)
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (*.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (exp.f64 1/3) (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (E.f64)) (acos.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 1)
(pow.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))) 1/3)
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) 1) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(exp.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (acos.f64 (-.f64 1 x))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))

simplify68.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
920×unswap-sqr
658×log-prod
638×associate-/l*
598×sqr-pow
472×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03154294971857
17284049
224034019
Stop Event
1×node limit
Counts
169 → 174
Calls
Call 1
Inputs
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 0)
(+.f64 0 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/6 (acos.f64 (-.f64 1 x))) (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(*.f64 3 (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(*.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 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 2 (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2/3 (acos.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 5/6)) (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
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(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
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(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
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(+.f64 0 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
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(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
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(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6))
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(*.f64 (pow.f64 (E.f64) (*.f64 1/6 (acos.f64 (-.f64 1 x)))) (pow.f64 (E.f64) (*.f64 1/6 (acos.f64 (-.f64 1 x)))))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) 1) (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(exp.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (acos.f64 (-.f64 1 x))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
Outputs
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 0)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(+.f64 0 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (*.f64 1/9 (acos.f64 (-.f64 1 x))))
(fma.f64 1/9 (acos.f64 (-.f64 1 x)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1/6 (acos.f64 (-.f64 1 x))) (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(+.f64 (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (*.f64 1/9 (acos.f64 (-.f64 1 x))))
(fma.f64 1/9 (acos.f64 (-.f64 1 x)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 1 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 3 (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.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 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 2 (*.f64 1/6 (acos.f64 (-.f64 1 x))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(*.f64 1/3 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (E.f64) (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2) 1/2)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3) 1/3)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))) 2)) (cbrt.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))) (sqrt.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(sqrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(expm1.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(exp.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 1) 1))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) 3)) 1/3))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 2))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))
(*.f64 (acos.f64 (-.f64 1 x)) 1/3)
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))) (*.f64 2/3 (acos.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 2/3 (acos.f64 (-.f64 1 x))) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) 1)) (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(*.f64 3 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))) (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/9 (acos.f64 (-.f64 1 x))) (log.f64 (*.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)) (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3))))))
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(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))) (cbrt.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(sqrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))
(sqrt.f64 (pow.f64 (exp.f64 2/3) (acos.f64 (-.f64 1 x))))
(fabs.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3) 1))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/3 (acos.f64 (-.f64 1 x)))) 3))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (*.f64 1/6 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))

localize150.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
98.1%
(asin.f64 (-.f64 1 x))
✓13.3%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
Compiler

Compiled 49 to 40 computations (18.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite77.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1420×log-prod
706×prod-diff
694×pow-exp
570×expm1-udef
566×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01845
136711
2422211
Stop Event
1×node limit
Counts
1 → 91
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.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)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (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 (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 (asin.f64 (-.f64 1 x)) -1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (sqrt.f64 1/2) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (sqrt.f64 1/2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (sqrt.f64 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (sqrt.f64 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) (sqrt.f64 1/2)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (sqrt.f64 1/2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (sqrt.f64 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (sqrt.f64 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (sqrt.f64 1/2)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (sqrt.f64 1/2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (sqrt.f64 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (sqrt.f64 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (sqrt.f64 1/2)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
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(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (pow.f64 1/2 1/4)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (pow.f64 1/2 1/4)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (pow.f64 1/2 1/4)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (pow.f64 1/2 1/4)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (pow.f64 1/2 1/4)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (pow.f64 1/2 1/4)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (pow.f64 1/2 1/4)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (pow.f64 1/2 1/4)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (fma.f64 (PI.f64) 1/2 0) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (asin.f64 (-.f64 1 x))) (exp.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (exp.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))

simplify94.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
910×associate-+l-
706×associate-+r-
612×associate--r+
446×associate--l+
436×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02537963
16006023
216023487
340773487
Stop Event
1×node limit
Counts
103 → 124
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.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)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (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 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
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(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (pow.f64 1/2 1/4)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (pow.f64 1/2 1/4)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (pow.f64 1/2 1/4)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (pow.f64 1/2 1/4)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (pow.f64 1/2 1/4)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 1/2))) (pow.f64 1/2 1/4)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (fma.f64 (PI.f64) 1/2 0) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (asin.f64 (-.f64 1 x))) (exp.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (exp.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
Outputs
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 (cbrt.f64 (pow.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)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 (cbrt.f64 (pow.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 (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 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (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 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) -1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
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(fma.f64 1/2 (PI.f64) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))) (*.f64 0 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (fma.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))) (*.f64 0 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(fma.f64 1/2 (PI.f64) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 1/2)) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(-.f64 (fma.f64 (PI.f64) 1/2 0) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(/.f64 (fma.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (*.f64 (exp.f64 (asin.f64 (-.f64 1 x))) (exp.f64 (*.f64 (PI.f64) 1/2))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (exp.f64 (*.f64 (PI.f64) 1/2))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(log.f64 (*.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(log.f64 (/.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (exp.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(log.f64 (/.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))

localize312.0ms (2.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
✓99.9%
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
98.1%
(asin.f64 (-.f64 1 x))
✓13.4%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Compiler

Compiled 104 to 82 computations (21.2% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
1.0ms
x
@0
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
1.0ms
x
@-inf
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
0.0ms
x
@-inf
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
0.0ms
x
@0
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))

rewrite201.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1692×log-prod
1144×prod-diff
676×expm1-udef
670×log1p-udef
476×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021159
1452155
25179155
Stop Event
1×node limit
Counts
3 → 294
Calls
Call 1
Inputs
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
Outputs
(+.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
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(pow.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3) 1/3)
(pow.f64 (hypot.f64 (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (exp.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (exp.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(log.f64 (/.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (exp.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log.f64 (/.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(+.f64 0 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.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 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(-.f64 0 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (/.f64 (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 (asin.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) -1)
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2) (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (neg.f64 (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (asin.f64 (-.f64 1 x)) 1) (/.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (neg.f64 (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (*.f64 -1 (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)
(pow.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(sqrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 0 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 1/4 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 -1/4 (/.f64 1 (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)
(pow.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)
(pow.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)))
(log.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))

simplify336.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1424×fma-neg
630×times-frac
576×log-prod
512×+-commutative
470×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070653692
1173938688
2553438614
Stop Event
1×node limit
Counts
330 → 372
Calls
Call 1
Inputs
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(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
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(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) -1)
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2) (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (neg.f64 (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 -1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (asin.f64 (-.f64 1 x)) 1) (/.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (neg.f64 (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (*.f64 -1 (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (/.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)
(pow.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(sqrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 0 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 1/4 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 -1/4 (/.f64 1 (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)
(pow.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)
(pow.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)))
(log.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Outputs
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)))
(fabs.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3)))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(+.f64 0 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1)
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 1 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 1/4 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1)
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2))
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)
(*.f64 -1/4 (/.f64 1 (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/4)
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1)
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3)
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3) 1/3)
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)
(pow.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 4) -1)
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (/.f64 1/16 (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)))
(log.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3))
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1))
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))

eval1.1s (7.2%)

Compiler

Compiled 57854 to 47811 computations (17.4% saved)

prune346.0ms (2.4%)

Pruning

63 alts after pruning (56 fresh and 7 done)

PrunedKeptTotal
New1512391551
Fresh171734
Picked101
Done077
Total1530631593
Accurracy
11.1%
Counts
1593 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.7%
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
▶5.3%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
5.3%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
5.3%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
5.3%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
5.3%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.6%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (log.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
3.3%
(fma.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.6%
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
10.6%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))))
10.6%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓10.7%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
7.1%
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.1%
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
10.7%
(/.f64 (fma.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.7%
(/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓7.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.7%
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
10.7%
(-.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
5.3%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 1/4 (PI.f64)))) (asin.f64 (-.f64 1 x)))
▶3.3%
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
5.3%
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (asin.f64 (-.f64 1 x)))
7.1%
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
10.7%
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 1 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 1 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 1 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
5.3%
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1))) 1)
10.7%
(+.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
10.7%
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
7.1%
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
7.1%
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
7.1%
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓7.1%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
7.1%
(+.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)) 1)
▶6.9%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶10.7%
(+.f64 (*.f64 0 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)) (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))
10.7%
(+.f64 (*.f64 0 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))
7.0%
(+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
7.1%
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
7.1%
(+.f64 (expm1.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1)
7.1%
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
5.3%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
5.3%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))))
10.7%
(+.f64 (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)))
5.3%
(+.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓10.7%
(+.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))))
10.7%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
10.7%
(+.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))))
5.3%
(+.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x))))
▶7.1%
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
7.1%
(*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
7.1%
(*.f64 3 (+.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (*.f64 1/9 (acos.f64 (-.f64 1 x)))))
7.1%
(*.f64 3 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)))
7.1%
(*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
7.1%
(*.f64 3 (log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))
7.1%
(*.f64 3 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
10.6%
(*.f64 3 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
7.1%
(*.f64 3 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
7.1%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))))
✓7.1%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.1%
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
✓7.1%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 3045 to 2625 computations (13.8% saved)

localize794.0ms (5.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
98.1%
(asin.f64 (-.f64 1 x))
✓97.7%
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
✓10.6%
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)) (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
Compiler

Compiled 266 to 218 computations (18% saved)

series10.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)) (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
1.0ms
x
@-inf
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
1.0ms
x
@inf
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
1.0ms
x
@0
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
1.0ms
x
@inf
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)) (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))

rewrite101.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
896×expm1-udef
890×log1p-udef
546×add-sqr-sqrt
538×pow1
530×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026161
1560127
27148127
Stop Event
1×node limit
Counts
3 → 86
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)) (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
Outputs
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 1 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 6) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 4) (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 4) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(*.f64 (+.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (-.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 4) (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (-.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 6) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 4) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 6) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 4) (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 4) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 6) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 4) (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 4) (pow.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2))) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 6) (pow.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 4) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 4) (*.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 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)))))))
(pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(fma.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (pow.f64 (PI.f64) 2) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 4)) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(fma.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (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 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) 1)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 1)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 4) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 4) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 4))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) 1) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(exp.f64 (*.f64 4 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(*.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(pow.f64 (asin.f64 (-.f64 1 x)) 4/3)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) 1)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (asin.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))

simplify119.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1264×fma-def
982×fma-neg
690×unswap-sqr
456×log-prod
442×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02258112
15258032
218017852
371027852
Stop Event
1×node limit
Counts
114 → 108
Calls
Call 1
Inputs
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))))
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(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(fma.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (pow.f64 (PI.f64) 2) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 4)) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(fma.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (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 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) 1)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 1)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 4) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 4) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 4))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) 1) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(exp.f64 (*.f64 4 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(*.f64 (asin.f64 (-.f64 1 x)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(pow.f64 (asin.f64 (-.f64 1 x)) 4/3)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 2)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) 1)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (asin.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
Outputs
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))) (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2)
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (pow.f64 (PI.f64) 2) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1/4)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) 1)
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(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(cbrt.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 3))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(exp.f64 (*.f64 4 (log.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(exp.f64 (*.f64 (*.f64 4 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) 1)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(*.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(*.f64 (asin.f64 (-.f64 1 x)) (cbrt.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))) 4)
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) 1)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 4/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 2)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) 1)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) 3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(sqrt.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(exp.f64 (*.f64 (*.f64 4 (log.f64 (asin.f64 (-.f64 1 x)))) 1/3))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) 1))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)

localize38.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.9%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
98.1%
(asin.f64 (-.f64 1 x))
Compiler

Compiled 24 to 18 computations (25% saved)

localize213.0ms (1.5%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓10.3%
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 39 to 32 computations (17.9% saved)

series65.0ms (0.4%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
41.0ms
x
@-inf
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
12.0ms
x
@0
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
11.0ms
x
@inf
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
0.0ms
x
@0
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
0.0ms
x
@-inf
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))

rewrite57.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1896×pow1
1748×add-exp-log
1746×log1p-expm1-u
1746×expm1-log1p-u
1710×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01042
119936
2237236
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
Outputs
(+.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)))
(-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1)
(*.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1)
(*.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(*.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 2))
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)) 1/2) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/2))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/2)
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2)) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(fabs.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))

simplify58.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1180×log-prod
964×associate-*r/
866×associate-*r*
790×associate-*l*
594×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0981260
11921122
26411122
342331122
Stop Event
1×node limit
Counts
52 → 48
Calls
Call 1
Inputs
(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))))))
(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)))))
(+.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)))
(-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1)
(*.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1)
(*.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(*.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 2))
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)) 1/2) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/2))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/2)
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2) 1/3)
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2)) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(fabs.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
Outputs
(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 (acos.f64 (-.f64 1 x)) 1/2)
(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 (acos.f64 (-.f64 1 x)) 1/2)
(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 (acos.f64 (-.f64 1 x)) 1/2)
(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 (acos.f64 (-.f64 1 x)) 1/2)
(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))))
(+.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)) (log.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 1)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 3)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(pow.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 3) 1/3)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2)
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(sqrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 2))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(cbrt.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2) 3))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(exp.f64 (log.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (acos.f64 (-.f64 1 x)) 1/2)
(+.f64 1 (expm1.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2)) 1/2) (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 2))) (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/2)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 1)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))
(pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 2)) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(fabs.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))

localize147.0ms (1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.4%
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
✓98.4%
(cbrt.f64 (*.f64 (PI.f64) 1/2))
98.1%
(asin.f64 (-.f64 1 x))
✓13.3%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Compiler

Compiled 48 to 38 computations (20.8% saved)

series4.0ms (0%)

Counts
3 → 12
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@0
(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))))
0.0ms
x
@-inf
(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))))
0.0ms
x
@inf
(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))))

rewrite91.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1388×prod-diff
1316×log-prod
640×pow-exp
540×expm1-udef
536×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01761
134643
2400043
Stop Event
1×node limit
Counts
3 → 178
Calls
Call 1
Inputs
(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))))
(cbrt.f64 (*.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1 (asin.f64 (-.f64 1 x)) (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 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.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 (asin.f64 (-.f64 1 x)) -1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
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(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) 1)
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 1/4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(exp.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/3) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))

simplify110.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
900×associate-+r+
794×associate-+l+
788×log-prod
618×*-commutative
410×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04307228
19705522
228754432
373014432
Stop Event
1×node limit
Counts
190 → 219
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1 (asin.f64 (-.f64 1 x)) (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 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.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 (asin.f64 (-.f64 1 x)) -1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x))))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 (*.f64 (PI.f64) 1/2) 1 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
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(+.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (fma.f64 (PI.f64) 1/2 0) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (*.f64 (exp.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (exp.f64 (asin.f64 (-.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (exp.f64 1/2) (PI.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(+.f64 0 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(*.f64 1 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1/3)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1/3)))
(pow.f64 (*.f64 (PI.f64) 1/2) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(fabs.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/3) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 1) 1))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) 3))
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (PI.f64) 1/2))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 0 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) 1)
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 1/4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(exp.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1) 2/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/3) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
Outputs
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (PI.f64))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 0 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 1 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 1/4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4)) (pow.f64 (exp.f64 2/9) (log.f64 (*.f64 1/2 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 4))
(*.f64 (pow.f64 (exp.f64 2/9) (log.f64 (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 4)) (pow.f64 (exp.f64 2/9) (log.f64 (*.f64 1/2 (PI.f64)))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))) (cbrt.f64 (*.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 4))
(*.f64 (pow.f64 (exp.f64 2/9) (log.f64 (*.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) 4))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 1/2)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(exp.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 2/3))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1) 2/3))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/3) 2))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 1) 2))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2))) 1) 1))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (*.f64 (PI.f64) 1/2)))) 3))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2)) 1/3))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4))

localize418.0ms (2.9%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.1%
(asin.f64 (-.f64 1 x))
✓10.6%
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
✓10.4%
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 145 to 117 computations (19.3% saved)

series4.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
1.0ms
x
@-inf
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
1.0ms
x
@0
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
0.0ms
x
@0
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
0.0ms
x
@-inf
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))

rewrite100.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
864×expm1-udef
858×log1p-udef
506×add-sqr-sqrt
498×pow1
494×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023158
1505158
26799158
Stop Event
1×node limit
Counts
2 → 82
Calls
Call 1
Inputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
Outputs
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))
(+.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(*.f64 1 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 1)
(*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (*.f64 1/64 (pow.f64 (pow.f64 (PI.f64) 2) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(*.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 1 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (-.f64 (*.f64 1/64 (pow.f64 (pow.f64 (PI.f64) 2) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(/.f64 1 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 (pow.f64 (PI.f64) 2) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/64 (pow.f64 (pow.f64 (PI.f64) 2) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (neg.f64 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (neg.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 (*.f64 1/64 (pow.f64 (pow.f64 (PI.f64) 2) 3)) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3)) (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (-.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(pow.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) 2) (*.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(pow.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (log.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(fma.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2))) (acos.f64 (-.f64 1 x)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2))))) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2))))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))

simplify113.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
776×unswap-sqr
768×distribute-rgt-in
768×cancel-sign-sub-inv
752×distribute-lft-in
644×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025612124
170811880
2303411484
Stop Event
1×node limit
Counts
98 → 128
Calls
Call 1
Inputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)))) (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)))) (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)))) (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)))) (/.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))
(+.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(*.f64 1 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 1)
(*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (*.f64 1/64 (pow.f64 (pow.f64 (PI.f64) 2) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(*.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 1 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (-.f64 (*.f64 1/64 (pow.f64 (pow.f64 (PI.f64) 2) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(/.f64 1 (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 (pow.f64 (PI.f64) 2) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) 3) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) 2) (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (fma.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) 2) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 2)))) (neg.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) 3) (pow.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 3)) (+.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) 2) (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) 2) (*.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(pow.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (log.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(fma.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2))) (acos.f64 (-.f64 1 x)) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2))))) 2) (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1/4 (/.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (pow.f64 (PI.f64) 2))))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
Outputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 1/4 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (pow.f64 (PI.f64) 2) (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 1/4 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (pow.f64 (PI.f64) 2) (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 1/4 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (pow.f64 (PI.f64) 2) (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/4 (/.f64 (pow.f64 (PI.f64) 2) (/.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(fma.f64 (acos.f64 (-.f64 1 x)) (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (/.f64 1/4 (acos.f64 (-.f64 1 x))) (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))))))
(fma.f64 (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (/.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1/2)) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 (/.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 1/2)) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) 1/2) (/.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (acos.f64 (-.f64 1 x))))) (/.f64 (*.f64 (PI.f64) 1/2) (/.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (acos.f64 (-.f64 1 x))))) (/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (acos.f64 (-.f64 1 x)) (*.f64 (*.f64 (/.f64 (PI.f64) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (PI.f64) (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) 1/4) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))

eval1.3s (8.6%)

Compiler

Compiled 70994 to 58704 computations (17.3% saved)

prune344.0ms (2.3%)

Pruning

66 alts after pruning (57 fresh and 9 done)

PrunedKeptTotal
New1427211448
Fresh153651
Picked101
Done2911
Total1445661511
Accurracy
11.3%
Counts
1511 → 66
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.7%
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
5.3%
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.6%
(fma.f64 (pow.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.6%
(fma.f64 (pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))))) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.7%
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
✓5.3%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
5.3%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
5.3%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
5.3%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
5.3%
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.6%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓10.7%
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
7.1%
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
7.1%
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
10.7%
(/.f64 (fma.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
10.7%
(/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
✓7.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.7%
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
3.4%
(-.f64 (*.f64 (/.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 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
3.3%
(-.f64 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
3.4%
(-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
10.7%
(-.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
3.3%
(-.f64 (*.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
5.1%
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
3.4%
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
3.3%
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
5.3%
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
3.5%
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (log.f64 (exp.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
7.1%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
5.3%
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (asin.f64 (-.f64 1 x)))
3.3%
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
10.7%
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 1 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 1 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 1 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
5.3%
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1))) 1)
10.7%
(+.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
7.1%
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
7.1%
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
7.1%
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
✓7.1%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
✓6.9%
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
10.7%
(+.f64 (*.f64 0 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (-.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/2)) 2) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
10.7%
(+.f64 (*.f64 0 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))
7.0%
(+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
7.1%
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
7.1%
(+.f64 (expm1.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1)
7.1%
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
10.7%
(+.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))))
10.7%
(+.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)))
5.3%
(+.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 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
✓10.7%
(+.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))))
10.7%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
7.1%
(*.f64 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1) 2)
7.1%
(*.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 2)
7.1%
(*.f64 (log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)) 2)
7.1%
(*.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) 2)
7.1%
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))) 2)
7.1%
(*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
7.1%
(*.f64 3 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)))
7.1%
(*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
10.6%
(*.f64 3 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
7.1%
(*.f64 3 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
7.1%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))))
✓7.1%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.1%
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
✓7.1%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓7.1%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1693 to 1454 computations (14.1% saved)

regimes132.0ms (0.9%)

Counts
107 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1) 2)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 (expm1.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 3 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(*.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) 2)
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
(*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
(*.f64 (log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)) 2)
(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))) 2)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/6) 4) 3)
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 3 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 1/4 (PI.f64)))) (asin.f64 (-.f64 1 x)))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 3 (+.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (*.f64 1/9 (acos.f64 (-.f64 1 x)))))
(*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(*.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 2)
(*.f64 3 (log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(/.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 3 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 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 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x))))
(/.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1))) 1)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.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 3 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (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)))
(fma.f64 (pow.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))))))) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (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 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)) 1)
(/.f64 (fma.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (log.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))))
(fma.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (acos.f64 (-.f64 1 x)) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (log.f64 (exp.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (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 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)))))) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (*.f64 0 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (-.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 1/2)) 2) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(-.f64 (*.f64 (/.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 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(+.f64 (*.f64 0 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2)) (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))
(+.f64 (*.f64 0 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (fma.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) 2) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 2) (/.f64 1/4 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (neg.f64 (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 1 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 1 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 1 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
(+.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (*.f64 (PI.f64) (/.f64 1/2 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (neg.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))
Outputs
(+.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:

49.0ms
x
11.0ms
(-.f64 1 x)
6.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.7%1x
10.7%1(acos.f64 (-.f64 1 x))
10.7%1(-.f64 1 x)
Compiler

Compiled 2788 to 2313 computations (17% saved)

regimes53.0ms (0.4%)

Counts
53 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1) 2)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 (expm1.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 3 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(*.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) 2)
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
(*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
(*.f64 (log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)) 2)
(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))) 2)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/6) 4) 3)
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 3 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 1/4 (PI.f64)))) (asin.f64 (-.f64 1 x)))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 3 (+.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 2/3)))) (*.f64 1/9 (acos.f64 (-.f64 1 x)))))
(*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(*.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)) 2)
(*.f64 3 (log.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(/.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 3 (log.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Outputs
(-.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
Calls

3 calls:

24.0ms
x
8.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.7%1x
10.7%1(acos.f64 (-.f64 1 x))
10.7%1(-.f64 1 x)
Compiler

Compiled 629 to 540 computations (14.1% saved)

regimes39.0ms (0.3%)

Counts
40 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1) 2)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 (expm1.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 3 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(*.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) 2)
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
(*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
(*.f64 (log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)) 2)
(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))) 2)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/6) 4) 3)
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(*.f64 3 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/6) 2)))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 1/4 (PI.f64)))) (asin.f64 (-.f64 1 x)))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
Outputs
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
Calls

3 calls:

18.0ms
x
5.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.7%1x
10.7%1(acos.f64 (-.f64 1 x))
10.7%1(-.f64 1 x)
Compiler

Compiled 427 to 371 computations (13.1% saved)

regimes33.0ms (0.2%)

Counts
35 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1) 2)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 (expm1.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 3 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(*.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) 2)
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
(*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
(*.f64 (log.f64 (-.f64 (+.f64 1 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)) 2)
(fma.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))) 2)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/6) 4) 3)
Outputs
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
Calls

3 calls:

15.0ms
x
5.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.7%1x
10.7%1(acos.f64 (-.f64 1 x))
10.7%1(-.f64 1 x)
Compiler

Compiled 366 to 320 computations (12.6% saved)

regimes43.0ms (0.3%)

Counts
29 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1) 2)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 (expm1.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 3 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(*.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) 2)
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 3)
(*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (-.f64 1 x))))) 1))
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
Outputs
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1)
Calls

3 calls:

23.0ms
x
6.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.7%2x
9.7%2(acos.f64 (-.f64 1 x))
9.7%2(-.f64 1 x)
Compiler

Compiled 291 to 254 computations (12.7% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.9999999999999998
1.0
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes40.0ms (0.3%)

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

3 calls:

22.0ms
x
6.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.7%2x
9.7%2(acos.f64 (-.f64 1 x))
9.7%2(-.f64 1 x)
Compiler

Compiled 281 to 246 computations (12.5% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.9999999999999998
1.0
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes31.0ms (0.2%)

Counts
20 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (-.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) 1/2)) 1) 2)
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) -1)) 1)
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(exp.f64 (log1p.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 (expm1.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 3 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/3))))
(*.f64 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))) 2)
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
Calls

3 calls:

16.0ms
x
5.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.7%2x
9.7%2(acos.f64 (-.f64 1 x))
9.7%2(-.f64 1 x)
Compiler

Compiled 184 to 159 computations (13.6% saved)

bsearch13.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
4.632176432529137e-19
1.8485223992589315e-16
Results
11.0ms128×body256valid
Compiler

Compiled 169 to 151 computations (10.7% saved)

regimes15.0ms (0.1%)

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

3 calls:

7.0ms
x
3.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.7%2x
9.7%2(acos.f64 (-.f64 1 x))
9.7%2(-.f64 1 x)
Compiler

Compiled 52 to 44 computations (15.4% saved)

bsearch13.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
4.632176432529137e-19
1.8485223992589315e-16
Results
11.0ms128×body256valid
Compiler

Compiled 137 to 119 computations (13.1% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

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

Compiled 44 to 37 computations (15.9% saved)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
22×+-commutative
14×sub-neg
14×*-commutative
6×neg-mul-1
6×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048451
167451
277451
381451
482451
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.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 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(if (<=.f64 (-.f64 1 x) 1) (exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) (+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1))
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(acos.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))))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2)) (sqrt.f64 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(if (<=.f64 (-.f64 1 x) 1) (exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) (+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1))
(if (<=.f64 (-.f64 1 x) 1) (exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) (+.f64 1 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1))
(if (<=.f64 (-.f64 1 x) 1) (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (+.f64 1 (sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(if (<=.f64 x 2271629875608987/40564819207303340847894502572032) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
Compiler

Compiled 158 to 137 computations (13.3% saved)

soundness1.4s (9.3%)

Rules
1952×fma-def
1478×pow1
1478×pow1
1478×pow1
1478×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114611
2179511
0923
120711
2294311
0711
114611
2179511
016132
136580
2532680
080832285
1184928797
2762728789
01845
136711
2422211
0711
114611
2179511
060396
1147392
2495392
32261392
45297392
0923
120711
2294311
01034
122528
2298428
0711
114611
2179511
02537963
16006023
216023487
340773487
080832285
1184928797
2762728789
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1105 to 912 computations (17.5% saved)

end103.0ms (0.7%)

Compiler

Compiled 326 to 268 computations (17.8% saved)

Profiling

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