Details

Time bar (total: 10.8s)

analyze0.0ms (0%)

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

Compiled 12 to 9 computations (25% saved)

sample2.2s (20.6%)

Results
1.4s4193×body1024valid
411.0ms2067×body512valid
265.0ms1595×body256valid
161.0ms401×body2048valid
Bogosity

preprocess6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21511
32211
42911
53911
65511
76511
86811
011
Stop Event
saturated
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
egg-herbie
Rules
12×fma-def
12×+-commutative
10×associate-+l-
sub-neg
associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21511
32211
42911
53911
65511
76511
86811
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
Outputs
(acos.f64 (-.f64 1 x))

eval0.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
59.9b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
59.9b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
8.1b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite51.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1498×add-sqr-sqrt
1478×*-un-lft-identity
1376×add-cube-cbrt
1364×add-cbrt-cube
1356×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114611
2179011
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))))))

simplify54.0ms (0.5%)

Algorithm
egg-herbie
Rules
938×*-commutative
750×associate-/l*
724×fma-def
698×associate-*r*
514×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062407
1151403
2576403
32246403
45313403
Stop Event
node limit
Counts
25 → 27
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 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.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 (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))))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(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 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.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))
(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 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(/.f64 (-.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 (PI.f64) (*.f64 1/4 (PI.f64)) (*.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 (pow.f64 (PI.f64) 3) 1/8) (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))))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(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))
(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))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))

eval7.0ms (0.1%)

Compiler

Compiled 345 to 278 computations (19.4% saved)

prune13.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New18927
Fresh000
Picked011
Done000
Total181028
Error
59.9b
Counts
28 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
59.9b
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
59.9b
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
59.9b
(/.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))))))
59.9b
(/.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))))))
59.9b
(/.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))))
59.9b
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
59.9b
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
59.9b
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
59.9b
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
59.9b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 301 to 252 computations (16.3% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
0.0b
(/.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))))
1.5b
(asin.f64 (-.f64 1 x))
5.5b
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
Compiler

Compiled 82 to 62 computations (24.4% saved)

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

rewrite134.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1500×associate-/l/
380×add-sqr-sqrt
372×associate-+l+
370×pow1
370×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016132
136480
2532080
Stop Event
node limit
Counts
4 → 348
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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 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simplify191.0ms (1.8%)

Algorithm
egg-herbie
Rules
1496×associate-*l*
1414×associate-*r*
1270×associate-/r*
758×associate-/l*
698×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073224138
1214823516
Stop Event
node limit
Counts
388 → 462
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 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (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)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.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)) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (+.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)) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.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)) (+.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.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) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.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)) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.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)) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.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) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (neg.f64 (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))))
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(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (-.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 1 (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (*.f64 (PI.f64) 1/2) 4))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (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 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3)) (*.f64 (acos.f64 (-.f64 1 x)) (+.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 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2) (-.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (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 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (*.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))) (-.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 3)) (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 3)) (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (*.f64 (PI.f64) 1/2) 4)))) (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)
(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)
(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))))))
(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 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (asin.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 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.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 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(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 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 2 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (*.f64 -2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (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)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(-.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 2 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (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)) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 2 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(+.f64 (*.f64 -2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (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)) (+.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (asin.f64 (-.f64 1 x)) 1/2)) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (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 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (*.f64 (PI.f64) (*.f64 (asin.f64 (-.f64 1 x)) 1/2)) 2))))) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3)) (*.f64 (acos.f64 (-.f64 1 x)) (+.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 (PI.f64) 1/2) 6) (pow.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3)) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (*.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (acos.f64 (-.f64 1 x))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (*.f64 1/4 (*.f64 (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 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2) (-.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (neg.f64 (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 (pow.f64 (asin.f64 (-.f64 1 x)) 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 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3)) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2) (*.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (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 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3)) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2) (*.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (*.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))) (-.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (+.f64 (*.f64 1/512 (pow.f64 (pow.f64 (PI.f64) 3) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (*.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (*.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(/.f64 (+.f64 (*.f64 1/512 (pow.f64 (pow.f64 (PI.f64) 3) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (*.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 3)) (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 3)) (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (*.f64 (PI.f64) 1/2) 4)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (*.f64 (PI.f64) 1/2) 4)))) (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 3)) (*.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 1/2 (asin.f64 (-.f64 1 x)))) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (*.f64 (PI.f64) 1/2) 4)))) (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 3)) (*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (asin.f64 (-.f64 1 x)) 1/2)) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (*.f64 (PI.f64) 1/2) 4))) (+.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 3)) (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (*.f64 (PI.f64) (*.f64 (asin.f64 (-.f64 1 x)) 1/2)) 2))) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 12) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))))
(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 (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)))
(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)))
(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)))))
(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)))
(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 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (asin.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 (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 (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 (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 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
5.5b
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
8.1b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 24 to 19 computations (20.8% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite67.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1236×associate-*r/
956×associate-*l/
790×*-commutative
700×distribute-lft-in
660×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120711
2290411
Stop Event
node limit
Counts
1 → 98
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (neg.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 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-1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))))

simplify86.0ms (0.8%)

Algorithm
egg-herbie
Rules
1256×associate-/r*
1202×associate-*r/
972×*-commutative
684×associate-*l/
664×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02596144
17535890
235615878
Stop Event
node limit
Counts
110 → 153
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 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 -1 (+.f64 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) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 0))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (acos.f64 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (-.f64 0 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 0 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 (acos.f64 (-.f64 1 x)) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))) (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 1))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1) (*.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) 1) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (acos.f64 (-.f64 1 x))) 1)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) 3) 1) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) 3) 1) (*.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)) (+.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 3) 1) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.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 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)))) (+.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 1))
(/.f64 (*.f64 1 (-.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 1 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (acos.f64 (-.f64 1 x))) 1)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.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 1 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1) (+.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 1))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (acos.f64 (-.f64 1 x))) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 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 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) 1) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) 1) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) 1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 3) 1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) 3) 1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) 1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(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 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.f64 (-.f64 1 x))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 0))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (neg.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (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 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(acos.f64 (-.f64 1 x))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1))
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1))
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))
(acos.f64 (-.f64 1 x))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (-.f64 0 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 0 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (neg.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 -2 (acos.f64 (-.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 -2 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 -2 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
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(/.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (/.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (+.f64 (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) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (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) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) 1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4)) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 3) 1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 3) -1) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 6)) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 6)) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 6) -1) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 6)) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 6)) (*.f64 (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) 3) 1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) 3) -1) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (+.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 6))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) 3)) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 6)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) 3)) (*.f64 (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 6)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) 1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(acos.f64 (-.f64 1 x))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(acos.f64 (-.f64 1 x))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(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))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(fabs.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))) (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(acos.f64 (-.f64 1 x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
8.1b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 21 to 16 computations (23.8% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite92.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1636×add-sqr-sqrt
1616×*-un-lft-identity
1502×add-cube-cbrt
1488×add-cbrt-cube
164×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
117511
2198111
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))))))

simplify57.0ms (0.5%)

Algorithm
egg-herbie
Rules
804×associate-*r*
752×associate-/l*
662×distribute-lft-in
642×associate-*l*
640×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070618
1169614
2596614
32580614
45911614
Stop Event
node limit
Counts
36 → 29
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 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.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 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (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 (-.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 (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))))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
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 (*.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 (exp.f64 (log1p.f64 (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 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.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))
(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 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(/.f64 (-.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 (PI.f64) (*.f64 1/4 (PI.f64)) (*.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 (pow.f64 (PI.f64) 3) 1/8) (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))))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(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 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (acos.f64 (-.f64 1 x)))
0.1b
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
8.1b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 23 to 18 computations (21.7% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
0.0ms
x
@-inf
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
0.0ms
x
@inf
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
0.0ms
x
@-inf
(sqrt.f64 (acos.f64 (-.f64 1 x)))
0.0ms
x
@0
(sqrt.f64 (acos.f64 (-.f64 1 x)))

rewrite56.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1762×add-sqr-sqrt
1738×*-un-lft-identity
1620×add-cube-cbrt
1608×add-cbrt-cube
180×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
120926
2221026
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (acos.f64 (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))))))

simplify62.0ms (0.6%)

Algorithm
egg-herbie
Rules
1060×+-commutative
1028×fma-def
880×associate-+r+
766×associate-+l+
702×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0110972
1230968
2806968
33089924
47575924
Stop Event
node limit
Counts
62 → 57
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)))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.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 (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))))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/2))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (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 (exp.f64 (log1p.f64 (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 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(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 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(acos.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 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))))
(/.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 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (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 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 1)
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1/2))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/2)
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1)
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) 2)
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) 1/3)
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(fabs.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1/2))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (acos.f64 (-.f64 1 x)))

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
1.0b
(pow.f64 (PI.f64) 3)
1.5b
(asin.f64 (-.f64 1 x))
5.1b
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
Compiler

Compiled 117 to 85 computations (27.4% saved)

series2.0ms (0%)

Counts
3 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
0.0ms
x
@inf
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
0.0ms
x
@-inf
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
0.0ms
x
@-inf
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
0.0ms
x
@0
(pow.f64 (asin.f64 (-.f64 1 x)) 3)

rewrite96.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
900×associate-*r/
740×distribute-rgt-in
720×associate-*l/
690×distribute-lft-in
322×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01563
132863
2393563
Stop Event
node limit
Counts
3 → 183
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (PI.f64) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 1 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))))

simplify139.0ms (1.3%)

Algorithm
egg-herbie
Rules
968×associate-+r+
948×associate-+l+
788×associate-*r*
788×fma-def
750×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046614115
1131012777
2633812777
Stop Event
node limit
Counts
199 → 239
Calls
Call 1
Inputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 1 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) 1))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
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(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (asin.f64 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (asin.f64 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (asin.f64 (-.f64 1 x)))
(/.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
Outputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 1 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) 1))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 2 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(fma.f64 2 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 0) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
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(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(pow.f64 (asin.f64 (-.f64 1 x)) 3)

eval774.0ms (7.1%)

Compiler

Compiled 46579 to 37721 computations (19% saved)

prune279.0ms (2.6%)

Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New1208281236
Fresh224
Picked101
Done235
Total1213331246
Error
57.3b
Counts
1246 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
59.9b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
59.9b
(fma.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) -1)
61.1b
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
59.9b
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
59.9b
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
57.6b
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
57.5b
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.5b
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.6b
(/.f64 (-.f64 (+.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
57.6b
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.5b
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
59.9b
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 1))
59.9b
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (acos.f64 (-.f64 1 x))) 1)))
59.9b
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
59.9b
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
59.9b
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
59.9b
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
59.9b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (asin.f64 (-.f64 1 x))))
57.6b
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
57.6b
(+.f64 (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)))
57.6b
(+.f64 (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))) (acos.f64 (-.f64 1 x)))
59.9b
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
57.6b
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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)))))
57.6b
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (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)))))
57.6b
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
59.9b
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
59.9b
(*.f64 (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
59.9b
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))
59.9b
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
59.9b
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
59.9b
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
59.9b
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
59.9b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1429 to 1226 computations (14.2% saved)

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
1.0b
(pow.f64 (PI.f64) 3)
1.5b
(asin.f64 (-.f64 1 x))
5.1b
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
Compiler

Compiled 136 to 102 computations (25% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
0.0ms
x
@-inf
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
0.0ms
x
@inf
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))

rewrite83.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
976×associate-*r/
776×associate-*l/
764×distribute-lft-in
342×add-sqr-sqrt
328×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01737
136637
2416737
Stop Event
node limit
Counts
1 → 128
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))) (#(struct:change 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simplify107.0ms (1%)

Algorithm
egg-herbie
Rules
1608×associate-*r/
1212×associate-*l/
674×fma-def
634×+-commutative
556×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033912216
1101411058
2485511058
Stop Event
node limit
Counts
140 → 181
Calls
Call 1
Inputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3)) (+.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 9) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 9)))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) 1) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) 1) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(fma.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/8)) 2) (*.f64 (PI.f64) (cbrt.f64 1/8)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
Outputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 1 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 1 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 2 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(fma.f64 2 (*.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
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(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (PI.f64) 6) 1/64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (PI.f64) 6) 1/64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/512) (pow.f64 (asin.f64 (-.f64 1 x)) 9)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (pow.f64 (PI.f64) 6) 1/64)))
(pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1)
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 2)
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 3)
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3) 1/3)
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 2))
(fabs.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1/8 (pow.f64 (PI.f64) 3) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 1 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/8)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (sqrt.f64 1/8) (sqrt.f64 1/8))) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(fma.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/8)) 2) (*.f64 (PI.f64) (cbrt.f64 1/8)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/8)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
5.4b
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
8.1b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 25 to 20 computations (20% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite64.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1198×associate-*r/
986×associate-*l/
834×*-commutative
654×distribute-lft-in
612×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01017
122511
2297411
Stop Event
node limit
Counts
1 → 100
Calls
Call 1
Inputs
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
Outputs
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simplify68.0ms (0.6%)

Algorithm
egg-herbie
Rules
1290×associate-/l/
942×associate-/r/
928×*-commutative
572×unswap-sqr
522×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02665144
17334954
232094954
Stop Event
node limit
Counts
112 → 148
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (+.f64 -1 (asin.f64 (-.f64 1 x))))
(-.f64 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) 1))
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(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(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 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1)
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(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 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (+.f64 -1 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) 1))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(+.f64 (-.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))))) 1)
(+.f64 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 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(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 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 0))
(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 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) 0))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 0 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 -1 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (/.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 (/.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))))) 1)
(+.f64 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 0 (/.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)))
(acos.f64 (-.f64 1 x))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (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 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(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 2 (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(acos.f64 (-.f64 1 x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1)) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) -1)) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (*.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 2 (acos.f64 (-.f64 1 x)))))) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) (*.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 2 (acos.f64 (-.f64 1 x)))))) (+.f64 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 2) (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) (*.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 2 (acos.f64 (-.f64 1 x)))))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -2)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (-.f64 2 (acos.f64 (-.f64 1 x)))))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -2)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 3) (pow.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 (*.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 2 (acos.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 3) (pow.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) 3))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) (*.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6))) (fma.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) (-.f64 (-.f64 2 (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(*.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))
(*.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1) 1) (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))
(/.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(/.f64 (acos.f64 (-.f64 1 x)) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(acos.f64 (-.f64 1 x))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(acos.f64 (-.f64 1 x))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) 0)))
(acos.f64 (-.f64 1 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)))))
(*.f64 (/.f64 (sqrt.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))))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3/2)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)))))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (cbrt.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 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (*.f64 (/.f64 (cbrt.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))))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1) (*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6) -1) (*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) -1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(acos.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))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) -1) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 3) 1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 3) -1) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) 1) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6)) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6) -1) (*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) -1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))) (+.f64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 3)) (*.f64 (+.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 (acos.f64 (-.f64 1 x)) -1) 6))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(acos.f64 (-.f64 1 x))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(acos.f64 (-.f64 1 x))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(acos.f64 (-.f64 1 x))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 1 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) (-.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(acos.f64 (-.f64 1 x))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1) (-.f64 2 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (sqrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (*.f64 (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 2 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(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))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(fabs.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.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 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(acos.f64 (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(acos.f64 (-.f64 1 x))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
8.1b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 23 to 17 computations (26.1% saved)

series62.0ms (0.6%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
32.0ms
x
@0
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
20.0ms
x
@-inf
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
9.0ms
x
@inf
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))

rewrite50.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1974×add-sqr-sqrt
1954×*-un-lft-identity
1812×add-cube-cbrt
1794×add-cbrt-cube
204×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
122511
2245311
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))))))

simplify75.0ms (0.7%)

Algorithm
egg-herbie
Rules
1306×distribute-lft-in
1096×distribute-rgt-in
916×associate-+r-
826×*-commutative
576×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071707
1166703
2427703
31257475
43492475
57710475
Stop Event
node limit
Counts
25 → 28
Calls
Call 1
Inputs
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(+.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 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (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 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.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 (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))))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
Outputs
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(pow.f64 (E.f64) (log.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(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 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.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))))
(pow.f64 (E.f64) (log.f64 (acos.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))
(pow.f64 (E.f64) (log.f64 (acos.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))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 (log.f64 (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (log.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (log.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(/.f64 (-.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 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) (*.f64 1/4 (PI.f64)) (*.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 (*.f64 (PI.f64) (PI.f64)) 1/4)))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (neg.f64 (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))))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)
0.1b
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
5.6b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
8.1b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 52 to 44 computations (15.4% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
2.0ms
x
@-inf
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
2.0ms
x
@inf
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
0.0ms
x
@-inf
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)
0.0ms
x
@-inf
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))

rewrite67.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1062×*-commutative
756×associate-*r/
606×associate-*l/
592×distribute-lft-in
568×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01471
129265
2343257
Stop Event
node limit
Counts
3 → 113
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/2) (-.f64 (-.f64 (asin.f64 (-.f64 1 x)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (acos.f64 (-.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (+.f64 (asin.f64 (-.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.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)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.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)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (exp.f64 (log.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 1 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (acos.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((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 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)) (+.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.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 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) 1) (+.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1) (-.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))))))
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simplify67.0ms (0.6%)

Algorithm
egg-herbie
Rules
1246×distribute-lft-in
1064×distribute-rgt-in
628×associate-+l+
584×*-commutative
578×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02565099
15854939
220834939
Stop Event
node limit
Counts
149 → 155
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.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 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 -1 (+.f64 1 (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 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 0))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (-.f64 (asin.f64 (-.f64 1 x)) 1) -1))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (acos.f64 (-.f64 1 x))))) 2)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (+.f64 (asin.f64 (-.f64 1 x)) 1))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(-.f64 (/.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)))) -1))
(-.f64 (/.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)))) 1))
(-.f64 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) 1))
(-.f64 (+.f64 -1 (exp.f64 (log.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))))) 1)
(-.f64 (+.f64 -1 (+.f64 1 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
(-.f64 (+.f64 -1 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (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 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) (-.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (*.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 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (*.f64 1 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(/.f64 (*.f64 1 (-.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 1 (-.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 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) 1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1) (-.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (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 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 1 1/3))
(*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1/3))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 1 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3)
(sqrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)))
(fabs.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)))) 1)
(*.f64 1 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))) (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6)) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))
(log.f64 (exp.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)))))
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))))
Outputs
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(acos.f64 (-.f64 1 x))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 1/3)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.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 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 0))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.f64 (-.f64 1 x))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))
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(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/3)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)) 1/2)
(sqrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)))
(sqrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) 2)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3)
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)))
(sqrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x)))))
(fabs.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 1/3))
(exp.f64 (*.f64 1/3 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)))) 1)
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))
(pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x))))
(*.f64 1 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))
(pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2)
(*.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)) 1)
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))
(pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))) (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 4))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 4))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))) (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 4))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (/.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (/.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6)) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (/.f64 (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))))) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6))
(*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1/6) (/.f64 (hypot.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 4))
(log.f64 (exp.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))
(pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))
(pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))
(pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))
(pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3))
(pow.f64 (exp.f64 2/3) (log1p.f64 (acos.f64 (-.f64 1 x))))

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
1.5b
(asin.f64 (-.f64 1 x))
57.7b
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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)))))
58.6b
(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)))
Compiler

Compiled 109 to 89 computations (18.3% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite99.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1610×associate-*l/
438×add-sqr-sqrt
422×*-un-lft-identity
420×pow1
406×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020165
142991
2567491
Stop Event
node limit
Counts
3 → 165
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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)))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
Outputs
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simplify94.0ms (0.9%)

Algorithm
egg-herbie
Rules
1468×associate-*r/
1192×+-commutative
1018×associate-*l/
472×associate-+l+
414×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04067725
112406779
258316779
Stop Event
node limit
Counts
201 → 246
Calls
Call 1
Inputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 0)
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
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(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(+.f64 0 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
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(+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (-.f64 0 (*.f64 (PI.f64) 1/2))) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0) (asin.f64 (-.f64 1 x)))
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(-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 0 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(-.f64 (acos.f64 (-.f64 1 x)) (-.f64 (acos.f64 (-.f64 1 x)) 0))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x))))
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (-.f64 (asin.f64 (-.f64 1 x)) 0) (asin.f64 (-.f64 1 x)))
(-.f64 (-.f64 (asin.f64 (-.f64 1 x)) (-.f64 0 (*.f64 (PI.f64) 1/2))) (acos.f64 (-.f64 1 x)))
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
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(/.f64 (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 2)) (neg.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 3)) 1) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) 1) (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2)) 1) (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (+.f64 (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 2)) 1) (neg.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 3))) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 3))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 3))) (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 2))) (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) 3) (pow.f64 (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 2) 3)) (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))) (+.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (*.f64 (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 2))) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (*.f64 (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 3))) (/.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) 3) (pow.f64 (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 3) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (*.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))) (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (*.f64 (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 3))) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) 3))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) (exp.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(fma.f64 1 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (PI.f64) 1/2 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(fma.f64 1/2 (PI.f64) (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.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)) (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.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 (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 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (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) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 0 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
0
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
0
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (asin.f64 (+.f64 1 (*.f64 -1 x))))
0
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
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(*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 0 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (+.f64 0 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (/.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) -1)
(neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(log.f64 (+.f64 1 (expm1.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)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)

eval767.0ms (7.1%)

Compiler

Compiled 44022 to 36072 computations (18.1% saved)

prune305.0ms (2.8%)

Pruning

49 alts after pruning (41 fresh and 8 done)

PrunedKeptTotal
New1247241271
Fresh81725
Picked011
Done077
Total1255491304
Error
57.3b
Counts
1304 → 49
Alt Table
Click to see full alt table
StatusErrorProgram
59.9b
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
59.9b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
59.9b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
59.9b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) -1)
59.9b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
61.1b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
61.1b
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
59.9b
(fma.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
59.6b
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 2)
59.9b
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
59.9b
(pow.f64 (E.f64) (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
59.9b
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
57.6b
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
57.5b
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.5b
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.6b
(/.f64 (-.f64 (+.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
57.5b
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.5b
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
59.9b
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
59.9b
(-.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)))
59.9b
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
59.9b
(-.f64 (/.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)))) -1))
59.9b
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
59.9b
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
59.9b
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
59.9b
(-.f64 (+.f64 -1 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))
59.9b
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
59.6b
(-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x))))
57.6b
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
57.6b
(+.f64 (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)))
57.6b
(+.f64 (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))) (acos.f64 (-.f64 1 x)))
59.9b
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
57.6b
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) (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)))))
57.6b
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.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)))))
57.6b
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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) (-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
57.6b
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))))
57.6b
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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)))))
57.6b
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (asin.f64 (-.f64 1 x)))))
59.9b
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))
59.9b
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x))))))
57.6b
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
59.9b
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
59.9b
(*.f64 (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
59.9b
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (exp.f64 (asin.f64 (-.f64 1 x)))))
59.9b
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
59.9b
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
59.9b
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
59.9b
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
59.9b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2098 to 1817 computations (13.4% saved)

localize64.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.4b
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
1.5b
(asin.f64 (-.f64 1 x))
8.1b
(acos.f64 (-.f64 1 x))
57.2b
(-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
Compiler

Compiled 174 to 142 computations (18.4% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
0.0ms
x
@-inf
(-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
0.0ms
x
@inf
(-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
0.0ms
x
@-inf
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
0.0ms
x
@0
(pow.f64 (asin.f64 (-.f64 1 x)) 4)

rewrite86.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
868×associate-*r/
728×associate-*l/
722×distribute-rgt-in
660×distribute-lft-in
354×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01754
136654
2437754
Stop Event
node limit
Counts
2 → 130
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))))) 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simplify106.0ms (1%)

Algorithm
egg-herbie
Rules
1590×associate-*r/
1272×associate-+r+
1104×associate-+l+
702×+-commutative
506×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034212034
193711120
2427311048
Stop Event
node limit
Counts
146 → 194
Calls
Call 1
Inputs
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 1 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1)))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) 1))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 4) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(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 (asin.f64 (-.f64 1 x)) 12))
(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)))
Outputs
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 4)
(pow.f64 (asin.f64 (-.f64 1 x)) 4)
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(-.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(-.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(-.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(-.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(fma.f64 1/16 (pow.f64 (PI.f64) 4) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)))
(+.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(fma.f64 1/16 (pow.f64 (PI.f64) 4) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)))
(+.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 1 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1)))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(+.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16) (*.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) 1))
(-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(-.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(-.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(fma.f64 1/16 (pow.f64 (PI.f64) 4) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)))
(+.f64 (fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 2 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(fma.f64 2 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 2 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(fma.f64 2 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)))
(+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (+.f64 (*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0) 2) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 2 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(fma.f64 2 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 2 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(fma.f64 2 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0) (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(+.f64 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (fma.f64 (pow.f64 (PI.f64) 4) 1/16 (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(+.f64 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)) (fma.f64 1/16 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) 0)))
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(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.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))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 8)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 4) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 8))
(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 (asin.f64 (-.f64 1 x)) 12))
(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)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.5b
(asin.f64 (-.f64 1 x))
5.6b
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
Compiler

Compiled 23 to 17 computations (26.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite68.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1072×*-commutative
870×associate-*r/
650×associate-*l/
544×distribute-lft-in
532×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01225
125611
2324511
Stop Event
node limit
Counts
1 → 109
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
Outputs
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simplify87.0ms (0.8%)

Algorithm
egg-herbie
Rules
842×associate-+r+
774×associate-+l+
756×unswap-sqr
662×+-commutative
508×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02947953
18597425
244207251
Stop Event
node limit
Counts
121 → 186
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
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(/.f64 (*.f64 (sqrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (acos.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (/.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3)) (/.f64 1 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))) (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(/.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 1) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Outputs
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x)))
(-.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (-.f64 1 x)) 0)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.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 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))
(-.f64 (fma.f64 1/2 (PI.f64) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (-.f64 1 x)) 0)) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (PI.f64) 1/2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(-.f64 (fma.f64 1/2 (PI.f64) (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)))) (asin.f64 (-.f64 1 x)))
(+.f64 (fma.f64 1/2 (PI.f64) (*.f64 (asin.f64 (-.f64 1 x)) 0)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (asin.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))))
(+.f64 (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 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (asin.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(fma.f64 2 (*.f64 (asin.f64 (-.f64 1 x)) 0) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (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))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 0) (+.f64 (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 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (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 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (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))) (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 0) (+.f64 (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))) (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.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 (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))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 0) (+.f64 (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 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.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 2 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))
(fma.f64 2 (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 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (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))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (+.f64 (fma.f64 (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 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (+.f64 (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))) (acos.f64 (-.f64 1 x))))
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(/.f64 (-.f64 (*.f64 1/512 (pow.f64 (pow.f64 (PI.f64) 3) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (*.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (fma.f64 1/64 (pow.f64 (PI.f64) 6) (fma.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))
(/.f64 (/.f64 (-.f64 (*.f64 1/512 (pow.f64 (pow.f64 (PI.f64) 3) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 1/64 (pow.f64 (PI.f64) 6))))
(/.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) 1) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(/.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(/.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(/.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(fabs.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
0.1b
(pow.f64 (acos.f64 (-.f64 1 x)) 2)
5.6b
(-.f64 (/.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)))) -1))
8.1b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 84 to 71 computations (15.5% saved)

series4.0ms (0%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(-.f64 (/.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)))) -1))
1.0ms
x
@inf
(-.f64 (/.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)))) -1))
1.0ms
x
@0
(-.f64 (/.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)))) -1))
0.0ms
x
@-inf
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
0.0ms
x
@0
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))

rewrite122.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1714×associate-/r*
1264×associate-/l*
370×associate-+l+
370×+-commutative
358×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015129
134967
2490767
Stop Event
node limit
Counts
3 → 259
Calls
Call 1
Inputs
(-.f64 (/.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)))) -1))
(pow.f64 (acos.f64 (-.f64 1 x)) 2)
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
Outputs
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simplify164.0ms (1.5%)

Algorithm
egg-herbie
Rules
864×associate-*r*
838×associate-/l*
814×associate-*l*
690×distribute-lft-in
618×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060033303
1161532903
Stop Event
node limit
Counts
279 → 390
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2)
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(pow.f64 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) -1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1/3)
(neg.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4) (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
Outputs
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (acos.f64 (-.f64 1 x)) 2)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (acos.f64 (-.f64 1 x)) 2)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (acos.f64 (-.f64 1 x)) 2)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (acos.f64 (-.f64 1 x)) 2)
(/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 2) (-.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(acos.f64 (-.f64 1 x))
(+.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))) 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (/.f64 -1 (+.f64 -1 (acos.f64 (-.f64 1 x))))) (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (/.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))) (/.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (pow.f64 (/.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) 2)) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) (neg.f64 (pow.f64 (/.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) 2))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) 2) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))) 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) 1 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))) 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) 2)) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) 1 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))) (fma.f64 (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) 1 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (+.f64 (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))) (fma.f64 (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) 1 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (+.f64 (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (sqrt.f64 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) 2)) (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))) (fma.f64 (-.f64 -1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) 1 (+.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) 3) (+.f64 (/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4) (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -2))))) (+.f64 (/.f64 -1 (+.f64 (/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4) (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -2))))) 1))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) 3) (+.f64 (/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4) (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -2))))) (+.f64 1 (/.f64 -1 (+.f64 (/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4) (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -2)))))))
(+.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) 3) (-.f64 (+.f64 1 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4) (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -2))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))) (/.f64 -1 (-.f64 (+.f64 1 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4) (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -2))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))) -1)
(*.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (acos.f64 (-.f64 1 x)) (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 -1 (+.f64 -1 (acos.f64 (-.f64 1 x))))))
(neg.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 -1 (+.f64 -1 (acos.f64 (-.f64 1 x)))) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(neg.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 -1 (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (neg.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) (-.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(pow.f64 (/.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) 2)
(*.f64 (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -1/2) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -1/2) (/.f64 (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) 2))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (/.f64 -1 (+.f64 -1 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4)) (*.f64 (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4))))
(*.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (neg.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) (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -1/2)) (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -1/2))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -1/2) (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -1/2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -1))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -2))) (/.f64 -1 (cbrt.f64 (+.f64 -1 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (cbrt.f64 (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -2)) (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 2))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.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 (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 (acos.f64 (-.f64 1 x)) (cbrt.f64 (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 2))) (/.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4))) (-.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4)) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4)) (cbrt.f64 (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))))
(pow.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (/.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (acos.f64 (-.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) 3)
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (/.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) -1)
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) 3) 1/3)
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 -1 (acos.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4) (pow.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) -2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) 3))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))) 1))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x))))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (acos.f64 (-.f64 1 x)))
0.0b
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
5.7b
(-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1)
8.1b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 59 to 50 computations (15.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1)
0.0ms
x
@-inf
(-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1)
0.0ms
x
@inf
(-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1)
0.0ms
x
@-inf
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
0.0ms
x
@inf
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))

rewrite107.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1214×distribute-rgt-in
1162×distribute-lft-in
600×associate-/r*
590×associate-/l*
440×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01286
126838
2368838
Stop Event
node limit
Counts
2 → 319
Calls
Call 1
Inputs
(-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (acos.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (acos.f64 (-.f64 1 x)))) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (acos.f64 (-.f64 1 x)))) (*.f64 (neg.f64 (cbrt.f64 (+.f64 1 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simplify157.0ms (1.4%)

Algorithm
egg-herbie
Rules
1236×associate-/r*
1192×associate-/l/
1084×associate-*r*
926×associate-*l*
668×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073629319
1228428965
Stop Event
node limit
Counts
343 → 492
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
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(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
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(/.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2))) (/.f64 1 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) 1) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (*.f64 (-.f64 0 (acos.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) 1) (-.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (-.f64 0 (acos.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (*.f64 (-.f64 0 (acos.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) 1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) (sqrt.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))) (sqrt.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) (*.f64 (cbrt.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))) (cbrt.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (acos.f64 (-.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (-.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2))) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (-.f64 0 (acos.f64 (-.f64 1 x)))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (-.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) 2))) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (-.f64 0 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (-.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (-.f64 0 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2))) (-.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2))) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(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 (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))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) 3)))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) 1 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
Outputs
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1)
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 -1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (acos.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (neg.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (acos.f64 (-.f64 1 x)))) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (neg.f64 (acos.f64 (-.f64 1 x)))) (+.f64 1 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))))
(*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (neg.f64 (acos.f64 (-.f64 1 x)))) (+.f64 1 (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))))
(+.f64 (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (acos.f64 (-.f64 1 x)))) (*.f64 (neg.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (neg.f64 (acos.f64 (-.f64 1 x)))) (+.f64 1 (*.f64 (neg.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (neg.f64 (acos.f64 (-.f64 1 x)))) (+.f64 1 (*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))))
(+.f64 (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (acos.f64 (-.f64 1 x)))) 1) (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 0 (acos.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (neg.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2))) 1) (*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2))) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2))) (+.f64 1 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
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(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (/.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (-.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) (-.f64 2 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2))) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (/.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) (-.f64 2 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3/2)) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))) (+.f64 (acos.f64 (-.f64 1 x)) (-.f64 2 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) 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))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(fma.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1) 1 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.5b
(asin.f64 (-.f64 1 x))
8.1b
(acos.f64 (-.f64 1 x))
57.7b
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
58.6b
(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)))
Compiler

Compiled 109 to 90 computations (17.4% saved)

series31.0ms (0.3%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@inf
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
10.0ms
x
@0
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
10.0ms
x
@-inf
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))

rewrite88.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1796×associate-*r/
396×associate-+r+
396×add-sqr-sqrt
384×*-un-lft-identity
380×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01887
138543
2503743
Stop Event
node limit
Counts
1 → 111
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
Outputs
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simplify94.0ms (0.9%)

Algorithm
egg-herbie
Rules
1458×associate--r+
1428×associate-+r-
900×associate-/l*
790×associate-/r*
630×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029210771
18528777
238458229
Stop Event
node limit
Counts
123 → 196
Calls
Call 1
Inputs
(+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))))
(+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))))
(+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))))
(+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))))
(+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))))
(+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))))
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(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))) (sqrt.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 2) (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2))) (acos.f64 (-.f64 1 x)))
(+.f64 (+.f64 (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1) (acos.f64 (-.f64 1 x))) 1)
(+.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2)) (*.f64 -1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1)
(+.f64 (-.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (exp.f64 (log.f64 (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))) 1)
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (/.f64 1 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))) (/.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2) (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (/.f64 1 (+.f64 1 (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))))) (/.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3) (+.f64 1 (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2)))))
(*.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (*.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (*.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (*.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (*.f64 (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1) (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2)) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1) 3)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 (*.f64 (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1) (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1)) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1)))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3)) (-.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2)) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (*.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (*.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)) 1) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (*.f64 (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1) (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1)))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1) 3))) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 (*.f64 (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1) (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1)) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 3))) (-.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) 2)) (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (*.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (*.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (*.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1))
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1))
Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))))
(+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 -1 (asin.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x))))))
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(/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 2 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (*.f64 2 (asin.f64 (-.f64 1 x)))) 2)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 2 (asin.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (fma.f64 2 (asin.f64 (-.f64 1 x)) 1) 2))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (fma.f64 2 (asin.f64 (-.f64 1 x)) 1) 2))) (/.f64 (sqrt.f64 (fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 2 (asin.f64 (-.f64 1 x)) 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (*.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (*.f64 (+.f64 1 (*.f64 2 (asin.f64 (-.f64 1 x)))) (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 2 (asin.f64 (-.f64 1 x))))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (*.f64 2 (asin.f64 (-.f64 1 x)))) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (fma.f64 (fma.f64 2 (asin.f64 (-.f64 1 x)) 1) (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 2 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (fma.f64 2 (asin.f64 (-.f64 1 x)) 1) 3))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (fma.f64 2 (asin.f64 (-.f64 1 x)) 1) 3))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (fma.f64 (fma.f64 2 (asin.f64 (-.f64 1 x)) 1) (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 2 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))) 2) (/.f64 (cbrt.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 2 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (*.f64 2 (asin.f64 (-.f64 1 x)))) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 2 (asin.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (fma.f64 2 (asin.f64 (-.f64 1 x)) 1) 2))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (fma.f64 2 (asin.f64 (-.f64 1 x)) 1) 2))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 2 (asin.f64 (-.f64 1 x)) 2)))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 1)
(+.f64 (+.f64 0 (acos.f64 (-.f64 1 x))) (*.f64 2 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 2)
(+.f64 (+.f64 0 (acos.f64 (-.f64 1 x))) (*.f64 2 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 3)
(+.f64 (+.f64 0 (acos.f64 (-.f64 1 x))) (*.f64 2 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3) 1/3)
(+.f64 (+.f64 0 (acos.f64 (-.f64 1 x))) (*.f64 2 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 2))
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x)))) 2))
(fabs.f64 (fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(+.f64 (+.f64 0 (acos.f64 (-.f64 1 x))) (*.f64 2 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))))
(+.f64 (+.f64 0 (acos.f64 (-.f64 1 x))) (*.f64 2 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) 3))
(+.f64 (+.f64 0 (acos.f64 (-.f64 1 x))) (*.f64 2 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(+.f64 (+.f64 0 (acos.f64 (-.f64 1 x))) (*.f64 2 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(+.f64 (+.f64 0 (acos.f64 (-.f64 1 x))) (*.f64 2 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))) 1))
(+.f64 (+.f64 0 (acos.f64 (-.f64 1 x))) (*.f64 2 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))))
(+.f64 (+.f64 0 (acos.f64 (-.f64 1 x))) (*.f64 2 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(fma.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1))
(+.f64 (+.f64 0 (acos.f64 (-.f64 1 x))) (*.f64 2 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1))
(+.f64 (+.f64 0 (acos.f64 (-.f64 1 x))) (*.f64 2 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) -1))
(+.f64 (+.f64 0 (acos.f64 (-.f64 1 x))) (*.f64 2 (asin.f64 (-.f64 1 x))))
(fma.f64 2 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))

eval1.5s (13.9%)

Compiler

Compiled 87813 to 75610 computations (13.9% saved)

prune536.0ms (5%)

Pruning

42 alts after pruning (34 fresh and 8 done)

PrunedKeptTotal
New2049152064
Fresh171936
Picked101
Done4812
Total2071422113
Error
57.3b
Counts
2113 → 42
Alt Table
Click to see full alt table
StatusErrorProgram
59.9b
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
59.9b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
59.9b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) -1)
59.9b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
61.1b
(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))))
61.1b
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
59.9b
(pow.f64 (E.f64) (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
59.9b
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
57.5b
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/16) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
57.6b
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
57.5b
(/.f64 (fma.f64 (cbrt.f64 (*.f64 1/256 (pow.f64 (PI.f64) 8))) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
57.5b
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.6b
(/.f64 (-.f64 (+.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
57.5b
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
57.6b
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 4)) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
57.5b
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (acos.f64 (-.f64 1 x))))))
57.5b
(/.f64 (-.f64 (*.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
59.9b
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
59.9b
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
59.9b
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
59.9b
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
57.6b
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
57.6b
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
57.6b
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
61.1b
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
59.9b
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
59.6b
(-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x))))
57.6b
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
59.9b
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))))
57.6b
(+.f64 (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))) (acos.f64 (-.f64 1 x)))
59.9b
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
59.9b
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
57.6b
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) (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)))))
57.6b
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.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)))))
57.6b
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (asin.f64 (-.f64 1 x)))))
57.6b
(+.f64 (acos.f64 (-.f64 1 x)) (*.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)))))
59.9b
(+.f64 -1 (*.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
59.9b
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
59.9b
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
59.9b
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
59.9b
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
59.9b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 939 to 819 computations (12.8% saved)

regimes84.0ms (0.8%)

Counts
77 → 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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(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 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(+.f64 -1 (*.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 1))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(pow.f64 (E.f64) (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (asin.f64 (-.f64 1 x))))
(-.f64 (+.f64 -1 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 1 (+.f64 1 (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)))
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 2)
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (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))))
(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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (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)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) -1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 (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))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.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 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(/.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 (PI.f64) 1/2) (+.f64 (neg.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) (-.f64 (*.f64 (PI.f64) 1/2) (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 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) (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 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.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 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (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 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/16) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 4)) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (cbrt.f64 (*.f64 1/256 (pow.f64 (PI.f64) 8))) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 6)) 1/4096) (pow.f64 (asin.f64 (-.f64 1 x)) 12)) (*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/64) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Outputs
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/16) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
Calls

3 calls:

33.0ms
x
8.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.5b1x
57.5b1(acos.f64 (-.f64 1 x))
57.5b1(-.f64 1 x)
Compiler

Compiled 1777 to 1482 computations (16.6% saved)

regimes73.0ms (0.7%)

Counts
69 → 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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(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 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(+.f64 -1 (*.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 1))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(pow.f64 (E.f64) (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (asin.f64 (-.f64 1 x))))
(-.f64 (+.f64 -1 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 1 (+.f64 1 (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)))
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 2)
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (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))))
(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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (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)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) -1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 (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))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.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 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(/.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 (PI.f64) 1/2) (+.f64 (neg.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) (-.f64 (*.f64 (PI.f64) 1/2) (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 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) (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 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.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 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
Calls

3 calls:

28.0ms
x
8.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.5b1x
57.5b1(acos.f64 (-.f64 1 x))
57.5b1(-.f64 1 x)
Compiler

Compiled 1401 to 1172 computations (16.3% saved)

regimes68.0ms (0.6%)

Counts
67 → 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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(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 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(+.f64 -1 (*.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 1))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(pow.f64 (E.f64) (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (asin.f64 (-.f64 1 x))))
(-.f64 (+.f64 -1 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 1 (+.f64 1 (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)))
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 2)
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (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))))
(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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (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)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) -1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 (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))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.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 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(/.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 (PI.f64) 1/2) (+.f64 (neg.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) (-.f64 (*.f64 (PI.f64) 1/2) (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 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) (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 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
Outputs
(/.f64 (-.f64 (*.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
Calls

3 calls:

27.0ms
x
6.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.5b1x
57.5b1(acos.f64 (-.f64 1 x))
57.5b1(-.f64 1 x)
Compiler

Compiled 1319 to 1104 computations (16.3% saved)

regimes67.0ms (0.6%)

Counts
65 → 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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(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 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(+.f64 -1 (*.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 1))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(pow.f64 (E.f64) (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (asin.f64 (-.f64 1 x))))
(-.f64 (+.f64 -1 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 1 (+.f64 1 (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)))
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 2)
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (exp.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 2/3)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (-.f64 (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (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))))
(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 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (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)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(*.f64 (+.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) -1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) 3) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
(+.f64 (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))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.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 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(/.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 (PI.f64) 1/2) (+.f64 (neg.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) (-.f64 (*.f64 (PI.f64) 1/2) (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 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.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) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) (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 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Outputs
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
Calls

3 calls:

28.0ms
x
7.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.5b1x
57.5b1(acos.f64 (-.f64 1 x))
57.5b1(-.f64 1 x)
Compiler

Compiled 1246 to 1044 computations (16.2% saved)

regimes64.0ms (0.6%)

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

3 calls:

26.0ms
x
7.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.6b1x
57.6b1(acos.f64 (-.f64 1 x))
57.6b1(-.f64 1 x)
Compiler

Compiled 1179 to 993 computations (15.8% saved)

regimes59.0ms (0.5%)

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

3 calls:

24.0ms
x
6.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.6b1x
57.6b1(acos.f64 (-.f64 1 x))
57.6b1(-.f64 1 x)
Compiler

Compiled 1059 to 892 computations (15.8% saved)

regimes50.0ms (0.5%)

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

3 calls:

21.0ms
x
5.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.6b1x
57.6b1(acos.f64 (-.f64 1 x))
57.6b1(-.f64 1 x)
Compiler

Compiled 826 to 702 computations (15% saved)

regimes49.0ms (0.5%)

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

3 calls:

19.0ms
x
7.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.6b1x
57.6b1(acos.f64 (-.f64 1 x))
57.6b1(-.f64 1 x)
Compiler

Compiled 803 to 683 computations (14.9% saved)

regimes34.0ms (0.3%)

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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(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 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(+.f64 -1 (*.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 1))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(pow.f64 (E.f64) (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/2))) (+.f64 1 (asin.f64 (-.f64 1 x))))
(-.f64 (+.f64 -1 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(-.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (acos.f64 (-.f64 1 x)))) -1))
(-.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (-.f64 (/.f64 1 (+.f64 1 (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)))
(pow.f64 (log.f64 (exp.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))))) 2)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) 2)
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (-.f64 (-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (*.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 (PI.f64))) (exp.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
Calls

3 calls:

15.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.6b1x
57.6b1(acos.f64 (-.f64 1 x))
57.6b1(-.f64 1 x)
Compiler

Compiled 505 to 430 computations (14.9% saved)

regimes30.0ms (0.3%)

Counts
19 → 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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(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 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(+.f64 -1 (*.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (-.f64 1 (acos.f64 (-.f64 1 x))) 1))
(pow.f64 (E.f64) (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
Outputs
(-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 -1 (*.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
Calls

3 calls:

16.0ms
x
5.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
58.2b2x
58.2b2(acos.f64 (-.f64 1 x))
58.2b2(-.f64 1 x)
Compiler

Compiled 221 to 189 computations (14.5% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.967740224508773e-7
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes23.0ms (0.2%)

Counts
13 → 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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(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 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
Outputs
(-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
Calls

3 calls:

12.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
58.2b2x
58.2b2(acos.f64 (-.f64 1 x))
58.2b2(-.f64 1 x)
Compiler

Compiled 128 to 109 computations (14.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.967740224508773e-7
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
Outputs
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
Calls

3 calls:

3.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
59.9b1x
59.9b1(acos.f64 (-.f64 1 x))
59.9b1(-.f64 1 x)
Compiler

Compiled 40 to 33 computations (17.5% saved)

simplify20.0ms (0.2%)

Algorithm
egg-herbie
Rules
58×+-commutative
52×*-commutative
34×sub-neg
22×neg-sub0
20×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0891055
11361047
21731047
31981047
42061047
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/16) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (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))) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (*.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x)))) (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.f64 (-.f64 1 x))
Outputs
(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/16) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2)) 1/16) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (*.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 1/4 (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (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))) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (*.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (+.f64 -1 (*.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x)))) (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (-.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x)))) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (*.f64 2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(acos.f64 (-.f64 1 x))
Compiler

Compiled 346 to 296 computations (14.5% saved)

soundness103.0ms (0.9%)

Algorithm
egg-herbie
Rules
1468×associate-*r/
1192×+-commutative
1018×associate-*l/
472×associate-+l+
414×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04067725
112406779
258316779
Stop Event
node limit
Compiler

Compiled 938 to 774 computations (17.5% saved)

end168.0ms (1.6%)

Compiler

Compiled 334 to 278 computations (16.8% saved)

Profiling

Loading profile data...