Details

Time bar (total: 11.0s)

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)

sample2.1s (18.7%)

Results
1.3s4148×body1024valid
365.0ms2137×body512valid
185.0ms1568×body256valid
167.0ms403×body2048valid
Bogosity

preprocess5.0ms (0%)

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
60.2b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
60.2b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.7b
(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
@-inf
(acos.f64 (-.f64 1 x))
0.0ms
x
@0
(acos.f64 (-.f64 1 x))
0.0ms
x
@inf
(acos.f64 (-.f64 1 x))

rewrite52.0ms (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))))))))

simplify60.0ms (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)

prune22.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New19827
Fresh000
Picked011
Done000
Total19928
Error
60.2b
Counts
28 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
60.2b
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
60.2b
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
60.2b
(/.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))))))
60.2b
(/.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))))))
60.2b
(/.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))))
60.2b
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
60.2b
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
60.2b
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
60.2b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 287 to 240 computations (16.4% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
4.0b
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
5.7b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 21 to 16 computations (23.8% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite52.0ms (0.5%)

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
117611
2198211
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
Outputs
((#(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 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))) (#(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 sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (#(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))))))))

simplify67.0ms (0.6%)

Algorithm
egg-herbie
Rules
1288×fma-def
1158×distribute-lft-in
914×distribute-rgt-in
902×associate-*r*
712×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071642
1163610
2607610
33005566
47565566
Stop Event
node limit
Counts
36 → 35
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (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)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(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 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (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 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(*.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (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 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(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))
(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))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
4.0b
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
5.7b
(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
@0
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
0.0ms
x
@inf
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)

rewrite69.0ms (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 (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 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 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 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(+.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(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 (acos.f64 (-.f64 1 x)) 2) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 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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)))))

simplify84.0ms (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))
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(/.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))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(cbrt.f64 (acos.f64 (-.f64 1 x)))
0.1b
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
5.7b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 23 to 18 computations (21.7% saved)

series6.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite59.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1824×add-sqr-sqrt
1790×*-un-lft-identity
1684×add-cube-cbrt
1670×add-cbrt-cube
180×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
121126
2228326
Stop Event
node limit
Counts
2 → 48
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(cbrt.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 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))))) (#(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 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 3) (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 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 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (-.f64 1 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))))))

simplify69.0ms (0.6%)

Algorithm
egg-herbie
Rules
892×associate-/l*
732×*-commutative
700×distribute-lft-in
638×distribute-lft-neg-in
632×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01141542
12521498
27951498
322081482
456601482
Stop Event
node limit
Counts
72 → 60
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 3) (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))))))
(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 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
Outputs
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (pow.f64 1 1/3))
(acos.f64 (-.f64 1 x))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (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 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 4))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 4))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (-.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 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.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 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (PI.f64) (*.f64 (PI.f64) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/4))))
(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 (cbrt.f64 (acos.f64 (-.f64 1 x))))) 1)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 1 (cbrt.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/6) 4)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 2)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1/3))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
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))))
0.0b
(*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
0.9b
(asin.f64 (-.f64 1 x))
4.0b
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
Compiler

Compiled 82 to 62 computations (24.4% saved)

series5.0ms (0%)

Counts
4 → 40
Calls

12 calls:

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

rewrite122.0ms (1.1%)

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
016128
136476
2532076
Stop Event
node limit
Counts
4 → 267
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 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
Outputs
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simplify130.0ms (1.2%)

Algorithm
egg-herbie
Rules
950×fma-def
806×associate-*r*
634×associate-*l*
588×+-commutative
586×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058015395
1160913891
Stop Event
node limit
Counts
307 → 334
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)))
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
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(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (/.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (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 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (neg.f64 (acos.f64 (-.f64 1 x)))) (/.f64 1 (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (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 (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)))))
(*.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (acos.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (acos.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1) (/.f64 (sqrt.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 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(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 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(neg.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3)))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (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 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (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))
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.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 (*.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)))
(-.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 (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 (*.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)) 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)) (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)) (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)) (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)) (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)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
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(*.f64 (/.f64 1 (sqrt.f64 (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)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)))
(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))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(neg.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/4)) (-.f64 (*.f64 (PI.f64) -1/2) (asin.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 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (log.f64 (pow.f64 (exp.f64 1/2) (PI.f64))) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (log.f64 (exp.f64 1/2))) (asin.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))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3)))
(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))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(+.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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.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)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(+.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)))))
1.0b
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
1.0b
(pow.f64 (*.f64 (PI.f64) 1/2) 3)
3.9b
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
Compiler

Compiled 146 to 114 computations (21.9% saved)

series5.0ms (0%)

Counts
4 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
1.0ms
x
@0
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
1.0ms
x
@-inf
(+.f64 (*.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)))))
1.0ms
x
@inf
(+.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)))))
0.0ms
x
@0
(+.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)))))

rewrite115.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
646×associate-+l+
464×add-sqr-sqrt
454×+-commutative
450×*-un-lft-identity
446×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020130
1463126
26335126
Stop Event
node limit
Counts
4 → 183
Calls
Call 1
Inputs
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(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
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simplify130.0ms (1.2%)

Algorithm
egg-herbie
Rules
1030×associate-+r+
1000×associate-+l+
904×associate-/l*
790×+-commutative
616×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043312715
1111711469
2452811441
Stop Event
node limit
Counts
211 → 242
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 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)))
(+.f64 (*.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)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (+.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 1/8 (pow.f64 (PI.f64) 3)) (+.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 1/8 (pow.f64 (PI.f64) 3)) (+.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 1/8 (pow.f64 (PI.f64) 3)) (+.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 1/8 (pow.f64 (PI.f64) 3)) (+.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 1/8 (pow.f64 (PI.f64) 3)) (+.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 1/8 (pow.f64 (PI.f64) 3)) (+.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 1/8 (pow.f64 (PI.f64) 3)) (+.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 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 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)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
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(fma.f64 1 (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (hypot.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x)))))) (hypot.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (*.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x)))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 1/2 (pow.f64 (PI.f64) 2)) 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
Outputs
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 3))
(-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(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 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)))
(fma.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)))
(fma.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)))
(fma.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/2 (*.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)))
(fma.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (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 1/8 (pow.f64 (PI.f64) 3)) (*.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 1/8 (pow.f64 (PI.f64) 3)) (+.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 1/8 (pow.f64 (PI.f64) 3) (+.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 1/8 (pow.f64 (PI.f64) 3)) (+.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 1/8 (pow.f64 (PI.f64) 3) (+.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 1/8 (pow.f64 (PI.f64) 3)) (+.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 1/8 (pow.f64 (PI.f64) 3) (+.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 1/8 (pow.f64 (PI.f64) 3)) (+.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 1/8 (pow.f64 (PI.f64) 3) (+.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 1/8 (pow.f64 (PI.f64) 3)) (+.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 1/8 (pow.f64 (PI.f64) 3) (+.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 1/8 (pow.f64 (PI.f64) 3)) (+.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 1/8 (pow.f64 (PI.f64) 3) (+.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 1/8 (pow.f64 (PI.f64) 3)) (+.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 1/8 (pow.f64 (PI.f64) 3) (+.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 1/8 (pow.f64 (PI.f64) 3)) (+.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 1/8 (pow.f64 (PI.f64) 3) (+.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 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (+.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 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (+.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 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (+.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 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3/2)) (pow.f64 (asin.f64 (-.f64 1 x)) 3/2) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(-.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (+.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))
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(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(fma.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(fma.f64 (*.f64 1/2 (pow.f64 (PI.f64) 2)) 1/2 (*.f64 (asin.f64 (-.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(fma.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))

eval609.0ms (5.6%)

Compiler

Compiled 34104 to 28101 computations (17.6% saved)

prune228.0ms (2.1%)

Pruning

36 alts after pruning (34 fresh and 2 done)

PrunedKeptTotal
New96433997
Fresh213
Picked101
Done325
Total970361006
Error
57.7b
Counts
1006 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
60.2b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
61.4b
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
60.2b
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
57.9b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 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))))))
57.9b
(/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
57.9b
(/.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))))
57.9b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (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))))))
60.2b
(/.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)))
62.6b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))) (-.f64 (/.f64 (pow.f64 (*.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x)))) 2) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
57.9b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
57.9b
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
60.2b
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
60.2b
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
57.9b
(/.f64 (+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 2 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
57.9b
(/.f64 (+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
60.2b
(/.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))))
60.2b
(/.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))))
60.2b
(/.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))))
60.2b
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
60.2b
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
60.2b
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
57.9b
(+.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)))
57.9b
(+.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)))
60.2b
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
57.9b
(+.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)))))
60.2b
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
57.9b
(+.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)))))
57.9b
(+.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)))))
57.9b
(+.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)))))
60.2b
(*.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)))))
60.2b
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
60.2b
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
60.2b
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
60.2b
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
60.2b
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
60.2b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1882 to 1610 computations (14.5% saved)

localize92.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
1.0b
(pow.f64 (PI.f64) 3)
1.6b
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
3.7b
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
Compiler

Compiled 258 to 210 computations (18.6% saved)

series2.0ms (0%)

Counts
3 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
1.0ms
x
@-inf
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
1.0ms
x
@inf
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))

rewrite88.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
962×associate-*r/
784×associate-*l/
410×add-sqr-sqrt
390×*-un-lft-identity
386×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01971
142557
2529557
Stop Event
node limit
Counts
3 → 138
Calls
Call 1
Inputs
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
(pow.f64 (PI.f64) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (PI.f64) 1/2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 6) 1/64)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (PI.f64) 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/64 (pow.f64 (PI.f64) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 6) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 6) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 18))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 6 (log.f64 (*.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 (*.f64 (PI.f64) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6)))))))
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simplify101.0ms (0.9%)

Algorithm
egg-herbie
Rules
678×times-frac
620×associate-+l+
612×associate-+r+
612×associate-*r*
602×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03389330
18288434
250218210
Stop Event
node limit
Counts
150 → 195
Calls
Call 1
Inputs
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(+.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(+.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) 1)
(*.f64 1 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(*.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) 1)
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (sqrt.f64 (fma.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) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))) 2) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 18) 3) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 6) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12) (*.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))) (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 18) (pow.f64 (*.f64 (PI.f64) 1/2) 18)) (+.f64 (*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 6) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 6)) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 18) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 6)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) 2) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))) 2))
(/.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) 2) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))) 2)) (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) 2) (pow.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) 2)) (/.f64 1 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) 2) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 18) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 6))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12) (*.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 18) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 6)) 1) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12) (*.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 18) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 6)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12) (*.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12) (*.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 18) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) 6)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12) (*.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12) (*.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12) (*.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))
(pow.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(fma.f64 1 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12)) (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))) 1)
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) 1)
(*.f64 1 (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 6) 1/64)
(*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (PI.f64) 3) 1/8))
(*.f64 1/64 (pow.f64 (PI.f64) 6))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 6) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 6) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 6))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12))
(log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 18))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6)))
(exp.f64 (*.f64 6 (log.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 3) (PI.f64))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
Outputs
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6))
(-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 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 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 3))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 3))
(+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 3))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(+.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 3))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 2 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(fma.f64 2 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(+.f64 (fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 4))
(+.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
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(fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) 3))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))) 1))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(fma.f64 1 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12)) (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(fma.f64 (pow.f64 (PI.f64) 6) 1/64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(fma.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(fma.f64 1/64 (pow.f64 (PI.f64) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))) 1)
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
(*.f64 1/64 (pow.f64 (PI.f64) 6))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) 1)
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
(*.f64 1/64 (pow.f64 (PI.f64) 6))
(*.f64 1 (pow.f64 (*.f64 (PI.f64) 1/2) 6))
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
(*.f64 1/64 (pow.f64 (PI.f64) 6))
(*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 6) 1/64)
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
(*.f64 1/64 (pow.f64 (PI.f64) 6))
(*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (*.f64 (pow.f64 (PI.f64) 3) 1/8))
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
(*.f64 1/64 (pow.f64 (PI.f64) 6))
(*.f64 1/64 (pow.f64 (PI.f64) 6))
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 6) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 6))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 12)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 6) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 6))
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
(*.f64 1/64 (pow.f64 (PI.f64) 6))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 12))
(fabs.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6)))
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
(*.f64 1/64 (pow.f64 (PI.f64) 6))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6))))
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
(*.f64 1/64 (pow.f64 (PI.f64) 6))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 18))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6)))
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
(*.f64 1/64 (pow.f64 (PI.f64) 6))
(exp.f64 (*.f64 6 (log.f64 (*.f64 (PI.f64) 1/2))))
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
(*.f64 1/64 (pow.f64 (PI.f64) 6))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
(*.f64 1/64 (pow.f64 (PI.f64) 6))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6)))
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
(*.f64 1/64 (pow.f64 (PI.f64) 6))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(pow.f64 (PI.f64) 3)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1)
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(pow.f64 (PI.f64) 3)
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 4))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 4))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 3) (PI.f64))
(pow.f64 (PI.f64) 3)
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (acos.f64 (-.f64 1 x)) -1)
4.0b
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
5.7b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 25 to 20 computations (20% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite76.0ms (0.7%)

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
01034
122528
2297428
Stop Event
node limit
Counts
2 → 178
Calls
Call 1
Inputs
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
Outputs
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(acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (acos.f64 (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) -1)))))

simplify108.0ms (1%)

Algorithm
egg-herbie
Rules
808×+-commutative
792×associate-+l-
754×associate-+r-
728×associate--r+
708×associate--l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04419428
112218964
252118958
Stop Event
node limit
Counts
202 → 265
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(-.f64 (+.f64 (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))
(-.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)))
(-.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))
(-.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))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(-.f64 (+.f64 0 (*.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 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 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)))
(*.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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 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)))
(*.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) 2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (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) 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 (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) 2)) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 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) 3))) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 1 (/.f64 1 (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)))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (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))
(/.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)))
(/.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 (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 (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 (*.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 (*.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 (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 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(/.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 (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 (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 (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) 2) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (-.f64 2 (acos.f64 (-.f64 1 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))))
(/.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 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.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))))))
(/.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (sqrt.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 (acos.f64 (-.f64 1 x)) -1) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) 1) (-.f64 2 (acos.f64 (-.f64 1 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))))
(/.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)))))
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(/.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3)) (/.f64 1 (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (-.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (*.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (+.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (/.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)))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (sqrt.f64 (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (sqrt.f64 (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (*.f64 (cbrt.f64 (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))) (cbrt.f64 (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))
(expm1.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) -1)
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (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))
(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)))))
(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 1 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.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 1 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 2 (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.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 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (/.f64 (+.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 (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 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (-.f64 2 (acos.f64 (-.f64 1 x)))))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 -1 (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 (*.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 2 (+.f64 (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) 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 0 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 -1 (acos.f64 (-.f64 1 x))))) (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)))
(/.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)))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(/.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 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 (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))))
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(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (sqrt.f64 (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (/.f64 (sqrt.f64 (+.f64 (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (/.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) (cbrt.f64 (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (/.f64 (cbrt.f64 (+.f64 (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (/.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4) -1) (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 3) 1) (/.f64 1 (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 3) -1) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4) 1) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 6)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 4)))) (+.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (/.f64 1 (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) -1) (*.f64 (+.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)) 3) 1)))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 6)) (*.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3)) (/.f64 1 (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (-.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (*.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3)) (*.f64 (+.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)) 6) (-.f64 1 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3)) (*.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3)) (*.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 6)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(/.f64 (/.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)))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (sqrt.f64 (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) (sqrt.f64 (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (*.f64 (cbrt.f64 (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))) (cbrt.f64 (-.f64 1 (-.f64 (*.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1/3)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
(fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(expm1.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 1 (acos.f64 (-.f64 1 x)) -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.9b
(asin.f64 (-.f64 1 x))
4.0b
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
4.1b
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
Compiler

Compiled 42 to 32 computations (23.8% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite104.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1078×associate-*r/
878×associate-*l/
752×distribute-rgt-in
708×distribute-lft-in
286×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01450
128722
2345222
Stop Event
node limit
Counts
2 → 320
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.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) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (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))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 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(neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))

simplify183.0ms (1.7%)

Algorithm
egg-herbie
Rules
1616×associate--r+
1180×associate--l+
720×fma-def
490×associate--r-
472×associate--l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042821768
1119020150
2548120150
Stop Event
node limit
Counts
344 → 264
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 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))))
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(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 1 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
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(+.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 (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 (acos.f64 (-.f64 1 x)) (*.f64 1 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1 (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 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 (acos.f64 (-.f64 1 x)) (*.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))) 1))
(+.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))) 1))
(+.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))) 1))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (+.f64 (*.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 (neg.f64 (asin.f64 (-.f64 1 x))) (+.f64 (*.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 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (+.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (*.f64 1 (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (fma.f64 (PI.f64) 1/2 (asin.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x))))) 1) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 3)) 1) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) 1) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.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)) (fma.f64 (PI.f64) 1/2 (asin.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 (fma.f64 (PI.f64) 1/2 (asin.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 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 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 (-.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (*.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 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 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.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)) (fma.f64 (PI.f64) 1/2 (asin.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(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))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (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 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))) 1))
(-.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 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(-.f64 (fma.f64 1/2 (PI.f64) (*.f64 0 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(-.f64 (fma.f64 1/2 (PI.f64) (*.f64 0 (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 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (*.f64 1/2 (PI.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))))
(fma.f64 1/2 (PI.f64) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))) (*.f64 0 (asin.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))) (fma.f64 1/2 (PI.f64) (*.f64 0 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (*.f64 1/2 (PI.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))))
(fma.f64 1/2 (PI.f64) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))) (*.f64 0 (asin.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))) (fma.f64 1/2 (PI.f64) (*.f64 0 (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)))))
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(/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (/.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))) (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.f64 (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (/.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))) (cbrt.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.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 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 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 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 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 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (+.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 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 (*.f64 1/64 (pow.f64 (pow.f64 (PI.f64) 2) 3)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3)) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))
(/.f64 (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(/.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)))
(/.f64 (-.f64 (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (*.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (/.f64 (-.f64 (*.f64 1/64 (pow.f64 (PI.f64) 6)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (fma.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 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (*.f64 1/8 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 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 (-.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 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (+.f64 (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))) (*.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 (/.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)) (fma.f64 1/2 (PI.f64) (asin.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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (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)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (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)) (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)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (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)) (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)) (fma.f64 1/2 (PI.f64) (asin.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)) (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 1/4 (pow.f64 (PI.f64) 2) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.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)) (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 1/2 (PI.f64) (asin.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))))
(/.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)) (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 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 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)))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (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)))

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
0.9b
(asin.f64 (-.f64 1 x))
1.5b
(pow.f64 (asin.f64 (-.f64 1 x)) 6)
4.0b
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3))
Compiler

Compiled 87 to 69 computations (20.7% saved)

series5.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3))
1.0ms
x
@-inf
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3))
1.0ms
x
@inf
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3))
0.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
0.0ms
x
@0
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))

rewrite111.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1418×associate-/r/
436×add-sqr-sqrt
416×*-un-lft-identity
412×pow1
408×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019117
143365
2594865
Stop Event
node limit
Counts
3 → 237
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3))
(pow.f64 (asin.f64 (-.f64 1 x)) 6)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
Outputs
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1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (*.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)))) (acos.f64 (-.f64 1 x))))))) (#(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 (acos.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))))) (#(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 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.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 cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.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 fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))))

simplify116.0ms (1.1%)

Algorithm
egg-herbie
Rules
1002×associate-*r*
798×associate-*l*
748×associate-/l*
742×times-frac
480×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056017967
1160216703
Stop Event
node limit
Counts
265 → 330
Calls
Call 1
Inputs
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6)
(/.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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.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))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (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) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (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)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1 (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)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 (/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (acos.f64 (-.f64 1 x)))
(*.f64 (/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) (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 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) (pow.f64 (*.f64 (PI.f64) 1/2) 6))) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (-.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2))))) (-.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) 3) (pow.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (pow.f64 (*.f64 (PI.f64) 1/2) 4)) (-.f64 (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2))) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) 2))))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) 1) (/.f64 (acos.f64 (-.f64 1 x)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) 1) (/.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 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (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))) (acos.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3))) (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 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (neg.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (neg.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) (neg.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 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) (sqrt.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 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) (cbrt.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 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 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)))) (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 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (acos.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) (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 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (acos.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (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)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) (*.f64 (acos.f64 (-.f64 1 x)) (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 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (*.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)))) (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)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(neg.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3)))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 1/2 (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 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (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))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6)
(pow.f64 (asin.f64 (-.f64 1 x)) 6)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6)
(pow.f64 (asin.f64 (-.f64 1 x)) 6)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6)
(pow.f64 (asin.f64 (-.f64 1 x)) 6)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 6)
(pow.f64 (asin.f64 (-.f64 1 x)) 6)
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
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(*.f64 (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 (-.f64 (*.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8))))
(*.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 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) (/.f64 (-.f64 (*.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (acos.f64 (-.f64 1 x)) (/.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)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (pow.f64 (PI.f64) 2) 1/4 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(*.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 (-.f64 (*.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8))))
(*.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 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (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)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))) (*.f64 (acos.f64 (-.f64 1 x)) (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 (acos.f64 (-.f64 1 x)) (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 (*.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)))))
(/.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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8))) (*.f64 (acos.f64 (-.f64 1 x)) (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 (-.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (*.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (*.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)))) (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (acos.f64 (-.f64 1 x)) (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 (*.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))) (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)))))
(/.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 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8))) (*.f64 (acos.f64 (-.f64 1 x)) (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)))))))
(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))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(pow.f64 (/.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(neg.f64 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.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))))
(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 (pow.f64 (exp.f64 1/2) (PI.f64)) (exp.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (log.f64 (pow.f64 (exp.f64 1/2) (PI.f64))) (asin.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))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) (pow.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) 3)))
(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))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(+.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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.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)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (asin.f64 (-.f64 1 x)))

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(asin.f64 (-.f64 1 x))
1.0b
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))
1.6b
(pow.f64 (*.f64 (PI.f64) 1/2) 4)
58.7b
(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)))
Compiler

Compiled 113 to 92 computations (18.6% saved)

series6.0ms (0.1%)

Counts
3 → 12
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@0
(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)))
0.0ms
x
@-inf
(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)))
0.0ms
x
@inf
(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)))

rewrite78.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
608×associate-*r/
578×distribute-lft-in
518×associate-*l/
448×add-sqr-sqrt
432×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02399
146971
2540671
Stop Event
node limit
Counts
3 → 122
Calls
Call 1
Inputs
(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)))
(pow.f64 (*.f64 (PI.f64) 1/2) 4)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.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)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (-.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/16) (cbrt.f64 (pow.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (cbrt.f64 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8))) (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 1/4)) (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 4) 1/3) (pow.f64 1/16 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (/.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (PI.f64)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1) (/.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 2 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (PI.f64))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (/.f64 2 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (/.f64 2 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 1/2) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 (*.f64 (PI.f64) 1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))))))

simplify74.0ms (0.7%)

Algorithm
egg-herbie
Rules
1706×distribute-lft-in
1302×associate-*r/
1120×associate-*l/
924×associate-/l/
870×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02748589939682
16644294972274
234234294972250
Stop Event
node limit
Counts
134 → 169
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (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 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(+.f64 0 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.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 0 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (-.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(-.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(-.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))) 1)
(-.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(*.f64 (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 (/.f64 (-.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 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 3))) (-.f64 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 3)) (-.f64 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 1 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 3))) (-.f64 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 3) (pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 3)) 1) (-.f64 (+.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))
(/.f64 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(pow.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(exp.f64 (log.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) 1)
(*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(*.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) 1)
(*.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)))
(*.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (PI.f64) 2) (*.f64 1/4 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (pow.f64 (PI.f64) 2)))
(*.f64 1 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))
(*.f64 1/16 (pow.f64 (PI.f64) 4))
(*.f64 (pow.f64 (PI.f64) 4) 1/16)
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (*.f64 (PI.f64) 1/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)) 1) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)))) (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(*.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1/4) (pow.f64 (PI.f64) 2))
(*.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (PI.f64) 2)) 1/4)
(*.f64 (*.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 4) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 4) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4))
(/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (/.f64 2 (PI.f64)))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (PI.f64)) 2)
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) 1) (/.f64 2 (PI.f64)))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 2 (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (neg.f64 (PI.f64))) -2)
(/.f64 (*.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) 2)
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (/.f64 2 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) (/.f64 2 (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (*.f64 (PI.f64) 1/2) 3)) -2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 4)) 1/16))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(cbrt.f64 (pow.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))
(exp.f64 (*.f64 4 (log.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))) 1)
(*.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) 1)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2))
(*.f64 1 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/2))
(*.f64 (cbrt.f64 1/4) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 1/16) (cbrt.f64 (pow.f64 (PI.f64) 4)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (cbrt.f64 1/16))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8))) (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 1/4)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 4) 1/3) (pow.f64 1/16 1/3))
(/.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (/.f64 2 (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (PI.f64)) 2)
(/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1) (/.f64 2 (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 2 (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (PI.f64))) -2)
(/.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2)
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (/.f64 2 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2))) (/.f64 2 (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) 1/2))) -2)
(pow.f64 (*.f64 (PI.f64) 1/2) 4/3)
(pow.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) 1)
(pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 2/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (*.f64 (PI.f64) 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
Outputs
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 1 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2)))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
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(pow.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)) 1/3)
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))) 1)
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 2/3)
(*.f64 (pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1/3) (pow.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) 1/3))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 4)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) 3)
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 8)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4))))))
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (*.f64 (PI.f64) 1/2))) 1/3))
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))) 1))
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))))
(cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 4)))

eval1.0s (9.5%)

Compiler

Compiled 60922 to 50764 computations (16.7% saved)

prune417.0ms (3.8%)

Pruning

53 alts after pruning (47 fresh and 6 done)

PrunedKeptTotal
New1523321555
Fresh141529
Picked011
Done156
Total1538531591
Error
57.7b
Counts
1591 → 53
Alt Table
Click to see full alt table
StatusErrorProgram
60.2b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
60.2b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
61.4b
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
60.2b
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
57.9b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 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))))))
57.9b
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3)) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3))) (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))))
57.9b
(/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
57.9b
(/.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))))
57.9b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (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))))))
57.9b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
61.4b
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 6) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 6)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (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))))))
60.2b
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
57.9b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
57.9b
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
60.2b
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
57.9b
(/.f64 (-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
57.9b
(/.f64 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
57.9b
(/.f64 (+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
57.9b
(/.f64 (+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
60.2b
(/.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))))
60.2b
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
60.2b
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
57.9b
(+.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)))
60.2b
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
60.2b
(+.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (/.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) 1)
60.2b
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
60.2b
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
60.2b
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
57.9b
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
57.9b
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
57.9b
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.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)))))
57.9b
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.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)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))))
60.2b
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
59.6b
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
60.2b
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
57.9b
(+.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)))))
57.9b
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))))
60.2b
(*.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)))))
60.2b
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
61.4b
(log.f64 (exp.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
60.2b
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
57.9b
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
57.9b
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
61.4b
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
57.9b
(log.f64 (exp.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))) (+.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))))))
57.9b
(log.f64 (exp.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))) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))))
57.9b
(log.f64 (exp.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))) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))))
60.2b
(log.f64 (exp.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
57.9b
(log.f64 (exp.f64 (+.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)))))))
57.9b
(log.f64 (exp.f64 (+.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)))))))
60.2b
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
60.2b
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
60.2b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2698 to 2331 computations (13.6% saved)

localize97.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(pow.f64 (asin.f64 (-.f64 1 x)) 3)
1.6b
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
1.6b
(pow.f64 (*.f64 (PI.f64) 1/2) 6)
3.7b
(-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
Compiler

Compiled 274 to 218 computations (20.4% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite44.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1456×add-sqr-sqrt
1442×*-un-lft-identity
1334×add-cube-cbrt
1320×add-cbrt-cube
1302×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
11719
219049
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (pow.f64 (PI.f64) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (PI.f64) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 2) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 3) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 3 (log.f64 (PI.f64))))) (sqrt.f64 (*.f64 3 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 3 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (PI.f64)) 2) 9))) (cbrt.f64 (*.f64 3 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))))))

simplify47.0ms (0.4%)

Algorithm
egg-herbie
Rules
1286×associate-+r+
1244×associate-+l+
1044×associate-/l*
864×associate-*r*
734×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066609
1148495
2585381
32423381
44668381
Stop Event
node limit
Counts
25 → 28
Calls
Call 1
Inputs
(+.f64 1 (-.f64 (pow.f64 (PI.f64) 3) 1))
(-.f64 (+.f64 1 (pow.f64 (PI.f64) 3)) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1)
(pow.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) 2)
(pow.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/3)
(pow.f64 (exp.f64 3) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 3 (log.f64 (PI.f64))))) (sqrt.f64 (*.f64 3 (log.f64 (PI.f64)))))
(pow.f64 (exp.f64 1) (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (PI.f64)) 2) 9))) (cbrt.f64 (*.f64 3 (log.f64 (PI.f64)))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
Outputs
(+.f64 1 (-.f64 (pow.f64 (PI.f64) 3) 1))
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(-.f64 (+.f64 1 (pow.f64 (PI.f64) 3)) 1)
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1)
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(*.f64 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 3)
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (pow.f64 (PI.f64) 3) 1)
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(pow.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) 2)
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(pow.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 1/3)
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(pow.f64 (exp.f64 3) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 3 (log.f64 (PI.f64))))) (sqrt.f64 (*.f64 3 (log.f64 (PI.f64)))))
(pow.f64 (exp.f64 1) (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (E.f64) (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (PI.f64)) 2) 9))) (cbrt.f64 (*.f64 3 (log.f64 (PI.f64)))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2))
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(+.f64 1 (+.f64 (pow.f64 (PI.f64) 3) -1))
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
0.0b
(/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
4.0b
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
5.7b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 47 to 40 computations (14.9% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
0.0ms
x
@-inf
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
0.0ms
x
@0
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
0.0ms
x
@0
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
0.0ms
x
@-inf
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)

rewrite84.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1038×*-commutative
732×associate-/r*
664×distribute-lft-in
630×distribute-rgt-in
448×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01263
127857
2338751
Stop Event
node limit
Counts
3 → 224
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1)))) (#(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 (+.f64 -1 (*.f64 (PI.f64) 1/2)) (+.f64 -1 (asin.f64 (-.f64 1 x))))))) (#(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 (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))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(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 0 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))))) (#(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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 1 (+.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 -1 (neg.f64 (acos.f64 (-.f64 1 x))))))) (#(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 (sqrt.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (*.f64 -1 (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 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (neg.f64 (*.f64 -1 (cbrt.f64 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (acos.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (acos.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (neg.f64 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (neg.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (neg.f64 (acos.f64 (-.f64 1 x))))) (neg.f64 (cbrt.f64 (neg.f64 (acos.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2)))) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 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((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))))))

simplify119.0ms (1.1%)

Algorithm
egg-herbie
Rules
1138×associate--r+
972×+-commutative
836×associate-+l-
804×associate-+r-
658×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05299780
114749262
262849250
Stop Event
node limit
Counts
260 → 322
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(/.f64 1 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(/.f64 1 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(/.f64 1 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(-.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 (PI.f64) 1/2) (-.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1) 1))
(-.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))
(-.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)))
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(-.f64 (+.f64 0 (*.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 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 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 -1 (neg.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (*.f64 -1 (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 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (neg.f64 (*.f64 -1 (cbrt.f64 (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)))
(*.f64 (neg.f64 (acos.f64 (-.f64 1 x))) -1)
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2)))))
(*.f64 (sqrt.f64 (neg.f64 (acos.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (neg.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (neg.f64 (acos.f64 (-.f64 1 x))))) (neg.f64 (cbrt.f64 (neg.f64 (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)))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2)))) (+.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) 2)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))) (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) 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 (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 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) 2)) (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 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) 3))) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (*.f64 -1 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (neg.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (neg.f64 (acos.f64 (-.f64 1 x)))))) (cbrt.f64 (neg.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 1 (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)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3))) (/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)))))
(/.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 (*.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 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))) (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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1) (*.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 2 (acos.f64 (-.f64 1 x))))
(/.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 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 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))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2)) (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2))) (/.f64 -1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) -1) (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) -1))
(*.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2) 1) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2)) 1) (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) 1) (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2)))) (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(*.f64 (/.f64 1 (+.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1)) (+.f64 (neg.f64 (acos.f64 (-.f64 1 x))) -1))
(*.f64 (/.f64 1 (+.f64 1 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (neg.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (-.f64 -1 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 -1 (+.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (/.f64 -1 (+.f64 1 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2)) -1) (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2)) (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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2)) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) -1) (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1)) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 3) 1)) (+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1)) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1))
(*.f64 (/.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 -1 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (*.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))))) (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2))) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2)))) (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1/3)
(neg.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 1 (-.f64 (acos.f64 (-.f64 1 x)) 1))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 1 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 1 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 1 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 1 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(-.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 (PI.f64) 1/2) (-.f64 (-.f64 (asin.f64 (-.f64 1 x)) -1) 1))
(-.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 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.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 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 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 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 -1 (neg.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (*.f64 -1 (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 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (neg.f64 (*.f64 -1 (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 (neg.f64 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1) (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2) 1))
(*.f64 (sqrt.f64 (neg.f64 (acos.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (neg.f64 (acos.f64 (-.f64 1 x))))))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (neg.f64 (acos.f64 (-.f64 1 x))))) (neg.f64 (cbrt.f64 (neg.f64 (acos.f64 (-.f64 1 x))))))
(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 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2)))) (+.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 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (fma.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2) 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) 2))) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
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(*.f64 (/.f64 1 (+.f64 1 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (neg.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (+.f64 -1 (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (/.f64 1 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 (-.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(*.f64 (/.f64 1 (-.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 1 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 -1 (+.f64 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1)) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (/.f64 1 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 -1 (acos.f64 (-.f64 1 x))) (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 -1 (+.f64 1 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (+.f64 -1 (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (/.f64 1 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(/.f64 (-.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(*.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2) (sqrt.f64 -1)))
(*.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (sqrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2)) -1) (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2)) -1))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2)) (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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2)) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2)) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2)) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))) 1))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) -1) (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) (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 (acos.f64 (-.f64 1 x)))) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) -2) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(*.f64 (cbrt.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))))
(*.f64 (cbrt.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) -2) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(*.f64 (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) 1)) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4) -1)) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 4))) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 3) 1)) (+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 3) -1)) (+.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 4) 1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 6))) (+.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 4))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1)) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1))
(/.f64 (*.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) -1))
(*.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))) 1) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 6))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 -1 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1) (*.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(*.f64 (/.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 -1 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6) (-.f64 1 (neg.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))))
(/.f64 (*.f64 (fma.f64 (acos.f64 (-.f64 1 x)) (+.f64 1 (acos.f64 (-.f64 1 x))) 1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 6)))) (+.f64 -1 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))) (sqrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 -1 (-.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))))) (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))))
(/.f64 -1 (-.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2))) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2)))) (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1)
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -1/2) 2)
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)))
(neg.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 -1 (-.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(exp.f64 (neg.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
0.1b
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)
3.7b
(+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) -1)
5.7b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 107 to 93 computations (13.1% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) -1)
1.0ms
x
@0
(+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) -1)
1.0ms
x
@-inf
(+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) -1)
0.0ms
x
@-inf
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
0.0ms
x
@inf
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)

rewrite95.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1326×associate-*r/
1088×associate-*l/
712×distribute-rgt-in
668×distribute-lft-in
302×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01475
130875
2368975
Stop Event
node limit
Counts
3 → 212
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) -1)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 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simplify146.0ms (1.3%)

Algorithm
egg-herbie
Rules
968×associate-/l*
964×+-commutative
708×distribute-lft-in
662×associate-*r*
662×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053015596
1154015182
2701815182
Stop Event
node limit
Counts
248 → 298
Calls
Call 1
Inputs
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(-.f64 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4) 1)
(-.f64 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4) 1)
(-.f64 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4) 1)
(-.f64 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4) 1)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) 1)
(-.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)) 2)
(-.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))
(-.f64 (+.f64 -1 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) 1)
(*.f64 1 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)) 1)
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8)) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 12)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8) (-.f64 1 (*.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8) (-.f64 1 (*.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 12)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8)) (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8))) (+.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) 8)) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 12) -1)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8) (*.f64 -1 (+.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) 12)) (-.f64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8)) (*.f64 (-.f64 1 (*.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) (-.f64 1 (*.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))))) (+.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8)) (*.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) 12)) (+.f64 (pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8) 3) (pow.f64 (-.f64 1 (*.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8)) (-.f64 (*.f64 (-.f64 1 (*.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) (-.f64 1 (*.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))) (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8) (-.f64 1 (*.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))))))
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(/.f64 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 1 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 1 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (*.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (*.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (+.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 1 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (*.f64 1 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (-.f64 -1 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (neg.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (neg.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (neg.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (*.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (*.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2)) (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) (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (-.f64 -1 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (neg.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (acos.f64 (-.f64 1 x)) -1)) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) (*.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (*.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (*.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1) (+.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1) (*.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (+.f64 (acos.f64 (-.f64 1 x)) -1))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (/.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) 1) (+.f64 1 (acos.f64 (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.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)))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (/.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (/.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(fabs.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
Outputs
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(-.f64 (pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(-.f64 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(-.f64 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(-.f64 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(-.f64 (pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 4)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 4)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 2)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 2)
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(-.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)) 2)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(-.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(-.f64 (+.f64 -1 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(*.f64 1 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)) 1)
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) 2))
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8)) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))
(+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 12)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8) (-.f64 1 (*.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 12)) (+.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 12)) (+.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 8))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 1))
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(*.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (/.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.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)))))) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 1 (acos.f64 (-.f64 1 x)))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (/.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) 1) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1)))) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(*.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(/.f64 (/.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (acos.f64 (-.f64 1 x)) -1)))))
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(*.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
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(*.f64 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x))))) (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(fabs.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(log.f64 (exp.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(exp.f64 (*.f64 2 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
0.9b
(cbrt.f64 (asin.f64 (-.f64 1 x)))
5.7b
(acos.f64 (-.f64 1 x))
58.5b
(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 74 to 60 computations (18.9% 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
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
0.0ms
x
@0
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)

rewrite76.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
922×*-commutative
660×unswap-sqr
538×swap-sqr
460×associate-*r/
414×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01393
126863
2321753
Stop Event
node limit
Counts
3 → 186
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)))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
Outputs
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simplify83.0ms (0.8%)

Algorithm
egg-herbie
Rules
782×distribute-lft-neg-in
770×distribute-rgt-neg-in
752×associate-+r+
708×times-frac
664×distribute-lft-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03754888
110404302
242644280
Stop Event
node limit
Counts
222 → 220
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))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(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 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(+.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 (neg.f64 (acos.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (asin.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)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))) 1)
(-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (acos.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (acos.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (-.f64 1 (asin.f64 (-.f64 1 x))))
(-.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 1 (*.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (asin.f64 (-.f64 1 x)) 2)
(*.f64 (asin.f64 (-.f64 1 x)) 0)
(*.f64 (asin.f64 (-.f64 1 x)) -2)
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(/.f64 (*.f64 (+.f64 0 (asin.f64 (-.f64 1 x))) 1) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0))
(/.f64 (*.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) -1) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 0 (asin.f64 (-.f64 1 x))) -1) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0))
(/.f64 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) 1) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(/.f64 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) -1) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6))) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 0 (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/2)
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(fabs.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 0))
(+.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 0) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (-.f64 1 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 0)))
(*.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 (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) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.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 (asin.f64 (-.f64 1 x))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)))
(*.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 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))) (*.f64 (sqrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (sqrt.f64 (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) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3/2))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/6) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/6))
(/.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 0 (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0))
(/.f64 (*.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 0 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0))
(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 (log.f64 (asin.f64 (-.f64 1 x))) 2/3))
(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
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 (asin.f64 (-.f64 1 x)) 2)
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (-.f64 (neg.f64 (acos.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.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))))
(+.f64 (acos.f64 (-.f64 1 x)) (neg.f64 (acos.f64 (-.f64 1 x))))
0
(+.f64 (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2)))
(+.f64 (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(+.f64 (asin.f64 (-.f64 1 x)) (+.f64 (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 1 (-.f64 (asin.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (asin.f64 (-.f64 1 x)) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
0
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (acos.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (+.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (-.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (acos.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))))
(fma.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))))
(-.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))
0
(-.f64 (exp.f64 (log1p.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2))) 1)
(*.f64 (asin.f64 (-.f64 1 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (+.f64 1 (asin.f64 (-.f64 1 x))))
(-.f64 (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) (-.f64 1 (asin.f64 (-.f64 1 x))))
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0
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0
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0
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0
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (+.f64 (*.f64 (pow.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))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
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(*.f64 (pow.f64 (cbrt.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)))) 4)) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
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0
(*.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (asin.f64 (-.f64 1 x)) 2)) 2))
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0
(*.f64 -1 (*.f64 (asin.f64 (-.f64 1 x)) 2))
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(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)))
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0
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0
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(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
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(neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6))) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))) (*.f64 (sqrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (sqrt.f64 (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) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 4))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3/2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/6) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/6))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(/.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(/.f64 (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (+.f64 0 (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(/.f64 (*.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(/.f64 (*.f64 (+.f64 0 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(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 (log.f64 (asin.f64 (-.f64 1 x))) 2/3))
(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)

localize51.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
0.9b
(asin.f64 (-.f64 1 x))
4.0b
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
61.9b
(fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
Compiler

Compiled 139 to 112 computations (19.4% saved)

series1.0ms (0%)

Counts
3 → 20
Calls

9 calls:

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

rewrite98.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
948×associate-*r/
786×associate-*l/
716×distribute-lft-in
382×add-sqr-sqrt
370×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018103
138389
2473973
Stop Event
node limit
Counts
3 → 192
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (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))
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (-.f64 1 x)) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 0 (*.f64 (PI.f64) 1/2))) (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (asin.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (asin.f64 (-.f64 1 x))) (+.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (asin.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (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)) 2)))))))

simplify143.0ms (1.3%)

Algorithm
egg-herbie
Rules
1308×associate-+r-
880×+-commutative
868×associate-*r*
864×times-frac
762×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044214076
1123613436
2739513416
Stop Event
node limit
Counts
212 → 286
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 0 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(-.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(*.f64 1 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (asin.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(*.f64 (sqrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 1 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 2 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (*.f64 2 (asin.f64 (-.f64 1 x)))) (+.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)) (*.f64 2 (asin.f64 (-.f64 1 x)))) (+.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 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 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 2 (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) 1) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 (*.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2))
(log.f64 (exp.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (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 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
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(exp.f64 (log.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(fma.f64 1 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (pow.f64 (PI.f64) 2) 1/4 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/16)) (cbrt.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 0 (*.f64 (PI.f64) 1/2))) (*.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))
(-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1)
(*.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1)
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (*.f64 (asin.f64 (-.f64 1 x)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (asin.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (asin.f64 (-.f64 1 x)))
(/.f64 (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 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 (asin.f64 (-.f64 1 x)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (+.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 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 (asin.f64 (-.f64 1 x)) (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x))) (+.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)) (asin.f64 (-.f64 1 x))) (+.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 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 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x)))))
(neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))
(log.f64 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(log.f64 (/.f64 1 (exp.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (asin.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
Outputs
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
0
(+.f64 (*.f64 -1 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)) (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2))
0
(-.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))
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2)
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
0
(-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
0
(-.f64 0 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(neg.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) -2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 1 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
0
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(-.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 0) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
0
(-.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1)
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 1 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (asin.f64 (-.f64 1 x)) (*.f64 2 (asin.f64 (-.f64 1 x))))
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (sqrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (sqrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2))
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2) (cbrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(/.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 2 (/.f64 (+.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(*.f64 (/.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(/.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
0
(/.f64 (*.f64 1 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 6))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 2 (/.f64 (+.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(*.f64 (/.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
0
(/.f64 (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 2 (asin.f64 (-.f64 1 x)))) (asin.f64 (-.f64 1 x)))
(/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (/.f64 (asin.f64 (-.f64 1 x)) (*.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (asin.f64 (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (*.f64 2 (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (/.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 2 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x))))) (/.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (*.f64 2 (asin.f64 (-.f64 1 x)))) (+.f64 (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 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 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (/.f64 (+.f64 (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (*.f64 (PI.f64) (*.f64 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 (asin.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (*.f64 (asin.f64 (-.f64 1 x)) 2))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (*.f64 2 (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 2 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4))) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(/.f64 (*.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 6)) 1) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4))))
(/.f64 2 (/.f64 (+.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 6)))
(*.f64 (/.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 6))
(/.f64 (*.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (pow.f64 (asin.f64 (-.f64 1 x)) 4)) 1) (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
0
(pow.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 1)
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (sqrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 2)
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 3)
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3) 1/3)
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 2))
(sqrt.f64 (*.f64 4 (pow.f64 (asin.f64 (-.f64 1 x)) 4)))
(log.f64 (exp.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))))
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) 3))
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) 1))
(*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(*.f64 2 (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)))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (*.f64 2 (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(fma.f64 1/4 (pow.f64 (PI.f64) 2) (*.f64 3 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
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(exp.f64 (*.f64 (*.f64 2 (log.f64 (asin.f64 (-.f64 1 x)))) 1))
(pow.f64 (asin.f64 (-.f64 1 x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(pow.f64 (asin.f64 (-.f64 1 x)) 2)

eval1.5s (13.6%)

Compiler

Compiled 87813 to 74345 computations (15.3% saved)

prune570.0ms (5.2%)

Pruning

67 alts after pruning (58 fresh and 9 done)

PrunedKeptTotal
New1870251895
Fresh93342
Picked101
Done1910
Total1881671948
Error
57.6b
Counts
1948 → 67
Alt Table
Click to see full alt table
StatusErrorProgram
60.2b
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
61.4b
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
60.2b
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
57.9b
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 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))))))
57.9b
(/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
57.9b
(/.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))))
60.2b
(/.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
57.9b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
57.9b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (PI.f64)) 2) 9))) (cbrt.f64 (*.f64 3 (log.f64 (PI.f64)))))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
57.9b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (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))))))
57.9b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (-.f64 (+.f64 1 (pow.f64 (PI.f64) 3)) 1)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
61.4b
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 6) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 6)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (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))))))
61.4b
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 6) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 6)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
60.2b
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
57.9b
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
57.9b
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
60.2b
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
57.9b
(/.f64 (-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
61.4b
(/.f64 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
61.4b
(/.f64 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
57.9b
(/.f64 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
60.2b
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6) -1) (*.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) -1)))
57.9b
(/.f64 (+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
57.9b
(/.f64 (+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
60.2b
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
60.2b
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
57.9b
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
57.9b
(+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
57.9b
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
57.9b
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
61.4b
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (/.f64 (+.f64 0 (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0)) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
61.4b
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
61.4b
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
58.0b
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) (+.f64 0 (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0)) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
61.4b
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
57.9b
(+.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)))
57.9b
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
60.2b
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
60.2b
(+.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)) 1)
60.2b
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1))) 1)
60.2b
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
60.2b
(+.f64 (/.f64 1 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))) (neg.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))))) 1)
60.3b
(+.f64 (/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) 1)
60.2b
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
60.2b
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
60.2b
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
60.2b
(+.f64 (*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
57.9b
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
57.9b
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
60.2b
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
59.6b
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
60.2b
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
57.9b
(+.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)))))
57.9b
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))))
60.2b
(*.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)))))
60.2b
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
61.4b
(log.f64 (exp.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
60.2b
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
57.9b
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
57.9b
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
61.4b
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
57.9b
(log.f64 (exp.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))) (+.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))))))
57.9b
(log.f64 (exp.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))) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))))
60.2b
(log.f64 (exp.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
60.2b
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
60.2b
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
60.2b
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2021 to 1742 computations (13.8% saved)

regimes118.0ms (1.1%)

Counts
99 → 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 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)) 1)
(+.f64 (/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(/.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 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(/.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 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(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 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (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 (*.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 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))) (neg.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))))) 1)
(/.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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6) -1) (*.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) -1)))
(+.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 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(*.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)))))
(+.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 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) (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)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (/.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (+.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)))))))
(+.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 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (+.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 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.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 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (/.f64 (+.f64 0 (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0)) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (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))))))
(log.f64 (exp.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(/.f64 (fma.f64 (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 (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.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 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(log.f64 (exp.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))) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(log.f64 (exp.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))) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.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)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.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 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) (+.f64 0 (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0)) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 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 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (cbrt.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 (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 (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 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 2 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(log.f64 (exp.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))) (+.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 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3)) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3))) (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 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (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 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (-.f64 (+.f64 1 (pow.f64 (PI.f64) 3)) 1)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))) (-.f64 (/.f64 (pow.f64 (*.f64 1/2 (*.f64 (PI.f64) (asin.f64 (-.f64 1 x)))) 2) (*.f64 (asin.f64 (-.f64 1 x)) (-.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/6))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 6) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 6)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 6) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 6)) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (exp.f64 (*.f64 3 (log.f64 (PI.f64))))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (PI.f64)) 2) 9))) (cbrt.f64 (*.f64 3 (log.f64 (PI.f64)))))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
Outputs
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
Calls

3 calls:

41.0ms
x
11.0ms
(-.f64 1 x)
6.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.9b1x
57.9b1(acos.f64 (-.f64 1 x))
57.9b1(-.f64 1 x)
Compiler

Compiled 2883 to 2418 computations (16.1% saved)

regimes98.0ms (0.9%)

Counts
88 → 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 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)) 1)
(+.f64 (/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(/.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 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(/.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 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(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 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (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 (*.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 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))) (neg.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))))) 1)
(/.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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6) -1) (*.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) -1)))
(+.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 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(*.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)))))
(+.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 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) (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)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (/.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (+.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)))))))
(+.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 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (+.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 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.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 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (/.f64 (+.f64 0 (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0)) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (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))))))
(log.f64 (exp.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(/.f64 (fma.f64 (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 (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.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 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(log.f64 (exp.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))) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(log.f64 (exp.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))) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.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)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.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 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) (+.f64 0 (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0)) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 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 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (cbrt.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 (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 (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 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 2 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 4)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(log.f64 (exp.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))) (+.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 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3)) (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/3) (pow.f64 (*.f64 (PI.f64) 1/2) 1/3))) (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 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
Outputs
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
Calls

3 calls:

36.0ms
x
8.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.9b1x
57.9b1(acos.f64 (-.f64 1 x))
57.9b1(-.f64 1 x)
Compiler

Compiled 2170 to 1829 computations (15.7% saved)

regimes84.0ms (0.8%)

Counts
78 → 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 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)) 1)
(+.f64 (/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(/.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 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(/.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 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(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 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (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 (*.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 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))) (neg.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))))) 1)
(/.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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6) -1) (*.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) -1)))
(+.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 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(*.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)))))
(+.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 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) (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)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (/.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (+.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)))))))
(+.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 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (+.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 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.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 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (/.f64 (+.f64 0 (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0)) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (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))))))
(log.f64 (exp.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(/.f64 (fma.f64 (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 (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.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 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(log.f64 (exp.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))) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (expm1.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (*.f64 (PI.f64) 1/2) (*.f64 1/4 (pow.f64 (PI.f64) 2)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(log.f64 (exp.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))) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))))
(+.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.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)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.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 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3) 2)) (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0) (+.f64 0 (asin.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0)) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
Outputs
(/.f64 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
Calls

3 calls:

32.0ms
x
9.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.9b1x
57.9b1(acos.f64 (-.f64 1 x))
57.9b1(-.f64 1 x)
Compiler

Compiled 1728 to 1462 computations (15.4% saved)

regimes70.0ms (0.6%)

Counts
68 → 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 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)) 1)
(+.f64 (/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(/.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 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(/.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 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(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 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (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 (*.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 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))) (neg.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))))) 1)
(/.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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6) -1) (*.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) -1)))
(+.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 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(*.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)))))
(+.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 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) (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)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (/.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (+.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)))))))
(+.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 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (+.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 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.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 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (/.f64 (+.f64 0 (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0)) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (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))))))
(log.f64 (exp.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))))
(/.f64 (fma.f64 (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 (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.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)))))
Outputs
(/.f64 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
Calls

3 calls:

28.0ms
x
7.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.9b1x
57.9b1(acos.f64 (-.f64 1 x))
57.9b1(-.f64 1 x)
Compiler

Compiled 1357 to 1154 computations (15% saved)

regimes72.0ms (0.7%)

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 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)) 1)
(+.f64 (/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(/.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 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(/.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 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(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 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (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 (*.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 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))) (neg.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))))) 1)
(/.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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6) -1) (*.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) -1)))
(+.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 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(*.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)))))
(+.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 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) (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)))) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (exp.f64 (log1p.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (pow.f64 (PI.f64) 2))) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (/.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2))))) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (exp.f64 (+.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)))))))
(+.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 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (+.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 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.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 (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (/.f64 (+.f64 0 (asin.f64 (-.f64 1 x))) (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 0)) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
Outputs
(+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
Calls

3 calls:

26.0ms
x
7.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.9b1x
57.9b1(acos.f64 (-.f64 1 x))
57.9b1(-.f64 1 x)
Compiler

Compiled 1198 to 1024 computations (14.5% saved)

regimes46.0ms (0.4%)

Counts
47 → 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 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)) 1)
(+.f64 (/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(/.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 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(/.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 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(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 (neg.f64 (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (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 (*.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 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))) (neg.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (acos.f64 (-.f64 1 x)))))))) 1)
(/.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 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 6) -1) (*.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) -1)))
(+.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 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 6) 1/3)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(*.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)))))
(+.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
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
Calls

3 calls:

19.0ms
x
5.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.9b1x
57.9b1(acos.f64 (-.f64 1 x))
57.9b1(-.f64 1 x)
Compiler

Compiled 784 to 678 computations (13.5% saved)

regimes33.0ms (0.3%)

Counts
33 → 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 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)) 1)
(+.f64 (/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(/.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 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(/.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 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(/.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 -1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 4)))) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)))
(log.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))))
Outputs
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
Calls

3 calls:

14.0ms
x
4.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
57.9b1x
57.9b1(acos.f64 (-.f64 1 x))
57.9b1(-.f64 1 x)
Compiler

Compiled 466 to 408 computations (12.4% saved)

regimes38.0ms (0.3%)

Counts
26 → 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 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)) 1)
(+.f64 (/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (-.f64 1 (acos.f64 (-.f64 1 x))))) (-.f64 2 (acos.f64 (-.f64 1 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 2)
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) 3)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (asin.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)))) (acos.f64 (-.f64 1 x)))
(/.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))))
Outputs
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3)
Calls

3 calls:

20.0ms
x
5.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
58.5b2x
58.5b2(acos.f64 (-.f64 1 x))
58.5b2(-.f64 1 x)
Compiler

Compiled 315 to 274 computations (13% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.332000937312528e-8
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes31.0ms (0.3%)

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

3 calls:

17.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
58.5b2x
58.5b2(acos.f64 (-.f64 1 x))
58.5b2(-.f64 1 x)
Compiler

Compiled 232 to 204 computations (12.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.332000937312528e-8
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes25.0ms (0.2%)

Counts
16 → 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 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
Outputs
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
Calls

3 calls:

13.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
58.5b2x
58.5b2(acos.f64 (-.f64 1 x))
58.5b2(-.f64 1 x)
Compiler

Compiled 162 to 141 computations (13% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
0.0ms
0.9999999999999994
1.0
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes25.0ms (0.2%)

Counts
15 → 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 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) 1)
Outputs
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1)
Calls

3 calls:

13.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
58.5b2x
58.5b2(acos.f64 (-.f64 1 x))
58.5b2(-.f64 1 x)
Compiler

Compiled 151 to 131 computations (13.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.332000937312528e-8
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes22.0ms (0.2%)

Counts
12 → 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 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1))) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
Outputs
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
Calls

3 calls:

11.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
58.5b2x
58.5b2(acos.f64 (-.f64 1 x))
58.5b2(-.f64 1 x)
Compiler

Compiled 120 to 103 computations (14.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.332000937312528e-8
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes18.0ms (0.2%)

Counts
8 → 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 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (+.f64 1 (*.f64 (PI.f64) 1/2)) (-.f64 (asin.f64 (-.f64 1 x)) -1))
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) -1))) 1)
Outputs
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
Calls

3 calls:

9.0ms
x
3.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
58.5b2x
58.5b2(acos.f64 (-.f64 1 x))
58.5b2(-.f64 1 x)
Compiler

Compiled 89 to 76 computations (14.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.332000937312528e-8
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes9.0ms (0.1%)

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

3 calls:

4.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
ErrorSegmentsBranch
60.2b1x
60.2b1(acos.f64 (-.f64 1 x))
60.2b1(-.f64 1 x)
Compiler

Compiled 52 to 44 computations (15.4% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
3 → 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)
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
60.2b1x
60.2b1(acos.f64 (-.f64 1 x))
60.2b1(-.f64 1 x)
Compiler

Compiled 32 to 26 computations (18.8% saved)

simplify25.0ms (0.2%)

Algorithm
egg-herbie
Rules
66×+-commutative
48×*-commutative
26×sub-neg
22×neg-sub0
20×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0994294968512
11504294968504
21874294968504
32114294968504
42214294968504
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 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 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (+.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)) 1))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1))
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.f64 (-.f64 1 x))
Outputs
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 6) (*.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (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 (*.f64 (PI.f64) 1/2) 6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)))) (+.f64 (*.f64 (*.f64 (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 (*.f64 (PI.f64) 1/2) 6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 1/8 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (+.f64 (*.f64 (*.f64 (PI.f64) 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 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (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 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(/.f64 (+.f64 (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x)) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (*.f64 (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) (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 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3)) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 3))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (+.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)) 1))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3))))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1))
(if (<=.f64 (-.f64 1 x) 1) (+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (+.f64 (+.f64 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) -1) 1))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (+.f64 -1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (log.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1))
(if (<=.f64 (acos.f64 (-.f64 1 x)) 0) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(+.f64 (/.f64 1 (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 1 (/.f64 1 (/.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 432 to 373 computations (13.7% saved)

soundness0.0ms (0%)

end200.0ms (1.8%)

Compiler

Compiled 417 to 353 computations (15.3% saved)

Profiling

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