bug323 (missed optimization)

Time bar (total: 10.4s)

analyze0.0ms (0%)

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

Compiled 12 to 9 computations (25% saved)

sample1.7s (16.2%)

Results
982.0ms4115×body1024valid
352.0ms2070×body512valid
176.0ms413×body2048valid
165.0ms1658×body256valid
Bogosity

preprocess16.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

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

Compiled 6 to 5 computations (16.7% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
6.5%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.5%
(acos.f64 (-.f64 1 x))
▶6.5%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 10 to 8 computations (20% saved)

localize49.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓6.5%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite71.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify53.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

eval7.0ms (0.1%)

Compiler

Compiled 337 to 270 computations (19.9% saved)

prune16.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New19726
Fresh000
Picked011
Done000
Total19827
Accurracy
6.5%
Counts
27 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.5%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
6.5%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
6.5%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶6.5%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶6.5%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶6.5%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
▶6.5%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓6.5%
(acos.f64 (-.f64 1 x))
▶6.5%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
6.5%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
6.5%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
▶6.5%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
▶6.5%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶6.5%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
▶6.5%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓6.5%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 406 to 340 computations (16.3% saved)

localize577.0ms (5.6%)

Local Accuracy

Found 11 expressions with local accuracy:

NewAccuracyProgram
✓99.0%
(cbrt.f64 (acos.f64 (-.f64 1 x)))
✓98.9%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
6.5%
(acos.f64 (-.f64 1 x))
✓9.7%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.5%
(acos.f64 (-.f64 1 x))
✓92.3%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
6.5%
(acos.f64 (-.f64 1 x))
✓98.0%
(asin.f64 (-.f64 1 x))
✓9.7%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
✓9.7%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
6.5%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 109 to 83 computations (23.9% saved)

series8.0ms (0.1%)

Counts
7 → 76
Calls

21 calls:

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

rewrite196.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1782×fma-def
650×expm1-udef
644×log1p-udef
592×fma-neg
426×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022141
144881
2554281
Stop Event
1×node limit
Counts
7 → 1083
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
Outputs
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (log.f64 (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 (*.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 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
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(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
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(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (acos.f64 (-.f64 1 x))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 0)
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 0)
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.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 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(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 (acos.f64 (-.f64 1 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))

simplify320.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
714×distribute-lft-neg-in
544×times-frac
538×log-prod
422×sub-neg
414×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054232757
1116131411
2375830215
Stop Event
1×node limit
Counts
1159 → 358
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(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 (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 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (log.f64 (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 (*.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 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3))))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
(/.f64 1 (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.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 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
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(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(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 (acos.f64 (-.f64 1 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.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)))
(fma.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)))
(fma.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)))
(fma.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)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(asin.f64 (+.f64 1 (*.f64 -1 x)))
(asin.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (-.f64 1 x))
(*.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 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(acos.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (acos.f64 (-.f64 1 x)) (+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(acos.f64 (-.f64 1 x))
(+.f64 (*.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) (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)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(acos.f64 (-.f64 1 x))
(+.f64 (log.f64 (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 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(acos.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)))
(acos.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3)) (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 1/2 (PI.f64)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (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 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (/.f64 1 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (*.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 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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 3))
(acos.f64 (-.f64 1 x))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(acos.f64 (-.f64 1 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
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(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) (pow.f64 (acos.f64 (-.f64 1 x)) 1/6))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 1/2 (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 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))) (cbrt.f64 (fma.f64 1/2 (PI.f64) (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))) (cbrt.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (cbrt.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (pow.f64 (*.f64 1/2 (PI.f64)) 2))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (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)))))
(/.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (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)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(/.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 (acos.f64 (-.f64 1 x))) 3))) (cbrt.f64 (+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 1)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))) 3)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/6) 2)
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))
(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 (acos.f64 (-.f64 1 x))) 1/3))
(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)))
(log1p.f64 (expm1.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (acos.f64 (-.f64 1 x)))

eval273.0ms (2.6%)

Compiler

Compiled 13531 to 11225 computations (17% saved)

prune113.0ms (1.1%)

Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New74925774
Fresh202
Picked055
Done011
Total75131782
Accurracy
10.1%
Counts
782 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.5%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
4.7%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶10.0%
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
4.7%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
10.0%
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
10.0%
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.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))))
10.0%
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
4.7%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.8%
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
✓6.5%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
▶6.5%
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
6.5%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓6.5%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
▶10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
▶9.9%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
6.5%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
✓6.5%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶6.5%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
6.5%
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
6.5%
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
6.5%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.5%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.5%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓6.5%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.5%
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓6.5%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓6.5%
(acos.f64 (-.f64 1 x))
6.5%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
4.7%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
▶10.0%
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
4.7%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
10.0%
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
10.0%
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (acos.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))))
10.0%
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
4.7%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
6.8%
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
✓6.5%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
▶6.5%
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
6.5%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓6.5%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
▶10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
▶9.9%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
6.5%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
✓6.5%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
▶6.5%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
6.5%
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
6.5%
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
6.5%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.5%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.5%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓6.5%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.5%
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓6.5%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓6.5%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1842 to 1610 computations (12.6% saved)

localize718.0ms (6.9%)

Local Accuracy

Found 18 expressions with local accuracy:

NewAccuracyProgram
✓98.4%
(sqrt.f64 (*.f64 (PI.f64) 1/2))
✓98.4%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
✓9.7%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
6.5%
(acos.f64 (-.f64 1 x))
✓98.6%
(sqrt.f64 (asin.f64 (-.f64 1 x)))
✓98.5%
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
98.0%
(asin.f64 (-.f64 1 x))
✓9.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
✓99.9%
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
✓99.9%
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)
✓10.0%
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)
6.5%
(acos.f64 (-.f64 1 x))
✓10.1%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
6.5%
(acos.f64 (-.f64 1 x))
✓98.5%
(cbrt.f64 (asin.f64 (-.f64 1 x)))
✓98.5%
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
98.0%
(asin.f64 (-.f64 1 x))
✓7.8%
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
Compiler

Compiled 227 to 180 computations (20.7% saved)

series16.0ms (0.1%)

Counts
13 → 128
Calls

36 calls:

TimeVariablePointExpression
3.0ms
x
@0
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
2.0ms
x
@inf
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
2.0ms
x
@-inf
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
2.0ms
x
@inf
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)
1.0ms
x
@0
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))

rewrite89.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
728×add-sqr-sqrt
718×pow1
712×*-un-lft-identity
676×add-exp-log
676×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033347
1744301
Stop Event
1×node limit
Counts
13 → 300
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)
(pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2)
(sqrt.f64 (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (*.f64 (PI.f64) 1/2))
Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))) 2) (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))) (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))) 2)
(sqrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) 2))
(log.f64 (exp.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(-.f64 0 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 -1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 0 (asin.f64 (-.f64 1 x))) (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (*.f64 0 (cbrt.f64 (asin.f64 (-.f64 1 x)))))))
(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 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)
(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)))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)) (/.f64 1 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(*.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 0))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) 1)) (neg.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 0) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0) 1)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)) 3)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)) 2)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0) 2))
(log.f64 (*.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0))))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0) 3))
(expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)) 1))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 0)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))) 0)
(-.f64 (exp.f64 (log1p.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (/.f64 1 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
(*.f64 1 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 6) -1) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4) (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4) 1) (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 6) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4) (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4) 1)) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 6)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4) (*.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(pow.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) 1)
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 2)
(sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) 2))
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(fma.f64 1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) -1)
(-.f64 (exp.f64 (log1p.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 (+.f64 1 (acos.f64 (-.f64 1 x))) (+.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (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 (-.f64 1 (acos.f64 (-.f64 1 x))) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.f64 (*.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) (acos.f64 (-.f64 1 x)))) (+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x))))))
(/.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) (acos.f64 (-.f64 1 x)))) (-.f64 1 (acos.f64 (-.f64 1 x)))))
(/.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) (acos.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(exp.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 2)) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x))))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (sqrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (+.f64 2 (acos.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)) (+.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) 2) (sqrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x))))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (sqrt.f64 (+.f64 2 (acos.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (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))) 2))) (+.f64 2 (acos.f64 (-.f64 1 x)))))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2))))
(*.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2)) (fma.f64 (PI.f64) 1/2 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (*.f64 (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))))
(pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (fma.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 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 (PI.f64) 1/2) 1/4))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(pow.f64 (*.f64 (PI.f64) 1/2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))

simplify157.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1174×log-prod
668×associate-*r*
560×associate-*l*
540×fma-def
392×hypot-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07014294982160
1166412964
2659212964
Stop Event
1×node limit
Counts
428 → 414
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 2) 1/3)
(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)
(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 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1)
(-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)
(pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) 1) (+.f64 2 (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1) (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1) (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1) (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x)))) 2) 1) (+.f64 2 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
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(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2))))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 1))) (fma.f64 (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 1 (*.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 1))) (fma.f64 (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 1 (*.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 1))) (fma.f64 (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 1 (*.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2))))
(*.f64 1 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) 2) (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2)) (fma.f64 (PI.f64) 1/2 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2))) (neg.f64 (fma.f64 (PI.f64) 1/2 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (*.f64 (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))))
(pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(fma.f64 1/2 (PI.f64) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (fma.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 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 (PI.f64) 1/2) 1/4))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(pow.f64 (*.f64 (PI.f64) 1/2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.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))
(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)))
(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)))
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(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3)) (+.f64 (+.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2)) (*.f64 (PI.f64) (*.f64 1/2 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (-.f64 (*.f64 (PI.f64) -1/2) (acos.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))) (fma.f64 1/2 (PI.f64) (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))))))
(pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) 3)
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 3) 1/3)
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) 2)
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2))
(fabs.f64 (-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))))
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 3))
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) 1))
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 0) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) 1)
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(*.f64 1 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) (*.f64 1/2 (acos.f64 (-.f64 1 x)))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/8 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 2) (*.f64 (acos.f64 (-.f64 1 x)) (-.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))))))
(pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 1)
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 3)
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3) 1/3)
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 2)
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2))
(fabs.f64 (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 1))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))
(fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) (pow.f64 (*.f64 (PI.f64) 1/2) 1/4))
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) 1/2) 1/2)
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) 1)
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3)
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3/2))
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 1/4) 2)
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))))
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3/2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (PI.f64)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/2)) 1/2))
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 1))
(sqrt.f64 (*.f64 1/2 (PI.f64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(sqrt.f64 (*.f64 1/2 (PI.f64)))

eval586.0ms (5.6%)

Compiler

Compiled 32041 to 26491 computations (17.3% saved)

prune181.0ms (1.7%)

Pruning

35 alts after pruning (24 fresh and 11 done)

PrunedKeptTotal
New1326111337
Fresh71320
Picked055
Done066
Total1333351368
Accurracy
10.1%
Counts
1368 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.9%
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
4.7%
(fma.f64 (pow.f64 (/.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
▶10.0%
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
6.5%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
4.7%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.0%
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)) (*.f64 (PI.f64) 1/2))
✓10.0%
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
4.7%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
10.0%
(fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
▶10.0%
(fma.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
✓6.5%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
✓6.5%
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
▶4.7%
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
6.5%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓6.5%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
✓10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
4.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2) 2))
4.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) 2))
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2))
✓9.9%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
6.5%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
✓6.5%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
✓6.5%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
▶6.8%
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
6.5%
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
6.5%
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
6.5%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
▶6.5%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.5%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓6.5%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.5%
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓6.5%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓6.5%
(acos.f64 (-.f64 1 x))
9.9%
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
4.7%
(fma.f64 (pow.f64 (/.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
▶10.0%
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
6.5%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
4.7%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.0%
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)) (*.f64 (PI.f64) 1/2))
✓10.0%
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
4.7%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
10.0%
(fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
▶10.0%
(fma.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
✓6.5%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
✓6.5%
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
▶4.7%
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
6.5%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓6.5%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
✓10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
4.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2) 2))
4.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) 2))
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2))
✓9.9%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
6.5%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
✓6.5%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
✓6.5%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
▶6.8%
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
6.5%
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
6.5%
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
6.5%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
▶6.5%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.5%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓6.5%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.5%
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓6.5%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓6.5%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1774 to 1580 computations (10.9% saved)

localize925.0ms (8.9%)

Local Accuracy

Found 17 expressions with local accuracy:

NewAccuracyProgram
98.5%
(cbrt.f64 (asin.f64 (-.f64 1 x)))
✓98.4%
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
98.0%
(asin.f64 (-.f64 1 x))
✓7.8%
(fma.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
✓99.9%
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
✓98.4%
(pow.f64 (sqrt.f64 1/2) 2)
✓9.8%
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
6.5%
(acos.f64 (-.f64 1 x))
✓100.0%
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
✓9.5%
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
6.5%
(acos.f64 (-.f64 1 x))
✓100.0%
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
98.0%
(asin.f64 (-.f64 1 x))
✓98.5%
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2)
✓98.5%
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
98.0%
(asin.f64 (-.f64 1 x))
✓7.8%
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
Compiler

Compiled 251 to 201 computations (19.9% saved)

series118.0ms (1.1%)

Counts
11 → 88
Calls

30 calls:

TimeVariablePointExpression
25.0ms
x
@0
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
24.0ms
x
@0
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
20.0ms
x
@-inf
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
17.0ms
x
@inf
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
12.0ms
x
@inf
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))

rewrite133.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
840×expm1-udef
602×add-sqr-sqrt
584×pow1
580×*-un-lft-identity
566×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035339
1758153
27967153
Stop Event
1×node limit
Counts
11 → 441
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2)
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(pow.f64 (sqrt.f64 1/2) 2)
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
Outputs
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (*.f64 (PI.f64) -1/2) 1 (*.f64 (PI.f64) 1/2)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1/2 (PI.f64) (*.f64 (PI.f64) 1/2)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (PI.f64)) 1/2 (*.f64 (PI.f64) 1/2)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (PI.f64) 1/2)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) -1/2))
(+.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) -1/2) 1))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) -1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2))) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))))
(*.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (/.f64 1 (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 (PI.f64) 1/2))) (-.f64 (sqrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (*.f64 (PI.f64) 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2)) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))) (-.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) (-.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (-.f64 (acos.f64 (-.f64 1 x)) 0))
(/.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) -1/2) (*.f64 (PI.f64) -1/2))) (-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) -1/2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(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 0 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)))
(+.f64 (log.f64 -1) (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 1/3 (log.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1))
(log1p.f64 (-.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1))

simplify193.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1210×div-sub
860×fma-def
716×log-prod
496×associate-*r*
472×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051719893
1116217551
2540617543
Stop Event
1×node limit
Counts
529 → 337
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(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)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/3))
(log.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3))
(log.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3))
(log.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3))
(log.f64 (pow.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) 1/3))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -1 (asin.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (*.f64 (PI.f64) -1/2) 1 (*.f64 (PI.f64) 1/2)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 -1/2 (PI.f64) (*.f64 (PI.f64) 1/2)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (PI.f64)) 1/2 (*.f64 (PI.f64) 1/2)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (*.f64 (PI.f64) 1/2)))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (*.f64 (PI.f64) 1/2)))
(+.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))) (*.f64 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) -1/2))
(+.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (*.f64 (PI.f64) -1/2) 1))
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) -1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (-.f64 (asin.f64 (-.f64 1 x)) 0))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2))) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3) (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))))
(*.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (/.f64 1 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4)) (/.f64 1 (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
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(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (neg.f64 (+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) 1/2) (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) (neg.f64 (+.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 0) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 0 (*.f64 (acos.f64 (-.f64 1 x)) 0))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 (PI.f64) -1/2) 3)) (+.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (-.f64 (*.f64 (*.f64 (PI.f64) -1/2) (*.f64 (PI.f64) -1/2)) (*.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) -1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (-.f64 (acos.f64 (-.f64 1 x)) 0))
(/.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) 2) (*.f64 (*.f64 (PI.f64) -1/2) (*.f64 (PI.f64) -1/2))) (-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) -1/2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(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 0 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (log.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)))
(+.f64 (log.f64 -1) (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(*.f64 1/3 (log.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1))
(log1p.f64 (-.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1))
Outputs
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(asin.f64 (-.f64 1 x))
(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)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))))
(log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 1/2 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x)))))
(sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 0))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (asin.f64 (+.f64 1 (*.f64 -1 x))))) (*.f64 1/2 (PI.f64)))
(-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x)))
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(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1)
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2))
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) (sqrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 1/3 (log.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1)
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3)
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 1/3)
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 2)
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3))
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1))
(log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(log1p.f64 (-.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1))
(log1p.f64 (+.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) -1))
(log1p.f64 (+.f64 -1 (cbrt.f64 (asin.f64 (-.f64 1 x)))))

eval989.0ms (9.5%)

Compiler

Compiled 51473 to 42548 computations (17.3% saved)

prune209.0ms (2%)

Pruning

44 alts after pruning (30 fresh and 14 done)

PrunedKeptTotal
New1933121945
Fresh11819
Picked235
Done01111
Total1936441980
Accurracy
10.1%
Counts
1980 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.9%
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
4.7%
(fma.f64 (pow.f64 (/.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
9.9%
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3)) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
10.0%
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (neg.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))) (*.f64 (PI.f64) 1/2))
✓10.0%
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
6.5%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) -1)
4.7%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.0%
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)) (*.f64 (PI.f64) 1/2))
✓10.0%
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
4.7%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
10.0%
(fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
✓10.0%
(fma.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
✓6.5%
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
✓6.5%
(/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
4.7%
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
4.7%
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x)))) 3) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
4.7%
(-.f64 (-.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
6.5%
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
✓6.5%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x)))))
✓10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (acos.f64 (-.f64 1 x)))))
4.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) 2))
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2))
✓9.9%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.0%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
6.5%
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
✓6.5%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
6.8%
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
✓6.5%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
6.5%
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x)))))
6.5%
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
6.5%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.5%
(*.f64 2 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) 1))
6.5%
(*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))
6.5%
(*.f64 2 (log.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))
6.5%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))))
✓6.5%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
6.5%
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
6.5%
(*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))))
6.5%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓6.5%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
6.5%
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
✓6.5%
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
✓6.5%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 1524 to 1312 computations (13.9% saved)

regimes54.0ms (0.5%)

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

3 calls:

22.0ms
x
6.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.0%1x
10.0%1(acos.f64 (-.f64 1 x))
10.0%1(-.f64 1 x)
Compiler

Compiled 884 to 739 computations (16.4% saved)

regimes44.0ms (0.4%)

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

3 calls:

18.0ms
x
5.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.0%1x
10.0%1(acos.f64 (-.f64 1 x))
10.0%1(-.f64 1 x)
Compiler

Compiled 607 to 506 computations (16.6% saved)

regimes41.0ms (0.4%)

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

3 calls:

18.0ms
x
5.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.0%1x
10.0%1(acos.f64 (-.f64 1 x))
10.0%1(-.f64 1 x)
Compiler

Compiled 588 to 490 computations (16.7% saved)

regimes35.0ms (0.3%)

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

3 calls:

15.0ms
x
5.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.0%1x
10.0%1(acos.f64 (-.f64 1 x))
10.0%1(-.f64 1 x)
Compiler

Compiled 459 to 387 computations (15.7% saved)

regimes30.0ms (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 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 2 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (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 1 (acos.f64 (-.f64 1 x))) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (*.f64 (PI.f64) 1/2) (expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))))
(*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 3/2))))
(*.f64 2 (log.f64 (pow.f64 (pow.f64 (exp.f64 (acos.f64 (-.f64 1 x))) 1/4) 2)))
(-.f64 (-.f64 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/4) 2) 2))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (PI.f64)))
(*.f64 2 (log.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))))) 1)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
Calls

3 calls:

14.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.0%1(acos.f64 (-.f64 1 x))
10.0%1(-.f64 1 x)
10.0%1x
Compiler

Compiled 368 to 314 computations (14.7% saved)

regimes31.0ms (0.3%)

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

3 calls:

17.0ms
x
5.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.1%2(acos.f64 (-.f64 1 x))
9.1%2(-.f64 1 x)
9.1%2x
Compiler

Compiled 213 to 182 computations (14.6% saved)

regimes24.0ms (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 (PI.f64) (acos.f64 (-.f64 1 x)))
(+.f64 (asin.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(*.f64 2 (log.f64 (exp.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1/2))))
(-.f64 (+.f64 1 (log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) 1)
(*.f64 2 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) 1))
Outputs
(-.f64 (PI.f64) (acos.f64 (-.f64 1 x)))
(*.f64 2 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) 1))
Calls

3 calls:

13.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.1%2(-.f64 1 x)
9.1%2(acos.f64 (-.f64 1 x))
9.1%2x
Compiler

Compiled 132 to 111 computations (15.9% saved)

regimes23.0ms (0.2%)

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

3 calls:

12.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.1%2(-.f64 1 x)
9.1%2(acos.f64 (-.f64 1 x))
9.1%2x
Compiler

Compiled 120 to 100 computations (16.7% saved)

regimes18.0ms (0.2%)

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

3 calls:

9.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.1%2(-.f64 1 x)
9.1%2(acos.f64 (-.f64 1 x))
9.1%2x
Compiler

Compiled 80 to 64 computations (20% saved)

regimes8.0ms (0.1%)

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 1 (acos.f64 (-.f64 1 x))) 1)
Calls

3 calls:

3.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
6.5%1(-.f64 1 x)
6.5%1(acos.f64 (-.f64 1 x))
6.5%1x
Compiler

Compiled 32 to 26 computations (18.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

3.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
6.5%1(-.f64 1 x)
6.5%1(acos.f64 (-.f64 1 x))
6.5%1x
Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch10.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
5.4265484063614634e-17
7.66453250778333e-16
Results
9.0ms96×body256valid
Compiler

Compiled 171 to 151 computations (11.7% saved)

bsearch10.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
5.4265484063614634e-17
7.66453250778333e-16
Results
8.0ms96×body256valid
Compiler

Compiled 141 to 127 computations (9.9% saved)

bsearch10.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
5.4265484063614634e-17
7.66453250778333e-16
Results
8.0ms96×body256valid
Compiler

Compiled 129 to 115 computations (10.9% saved)

bsearch10.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
5.4265484063614634e-17
7.66453250778333e-16
Results
8.0ms96×body256valid
Compiler

Compiled 117 to 103 computations (12% saved)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
38×+-commutative
32×sub-neg
24×*-commutative
16×neg-mul-1
16×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054561
181561
2109561
3129561
4135561
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 2 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) 1)))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(acos.f64 (-.f64 1 x))
Outputs
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (-.f64 1 (acos.f64 (-.f64 1 x))))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 2 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))) 1)))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (*.f64 2 (+.f64 -1 (exp.f64 (log1p.f64 (*.f64 1/2 (acos.f64 (-.f64 1 x))))))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (exp.f64 (log.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (exp.f64 (log.f64 (+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (-.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x)))))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 -1 (+.f64 1 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
Compiler

Compiled 194 to 170 computations (12.4% saved)

soundness2.2s (20.9%)

Rules
1782×fma-def
1782×fma-def
1782×fma-def
1782×fma-def
1782×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114611
2179511
022141
144881
2554281
022141
144881
2554281
035339
1758153
27967153
051719893
1116217551
2540617543
0711
114611
2179511
022141
144881
2554281
054232757
1116131411
2375830215
035339
1758153
27967153
022141
144881
2554281
054232757
1116131411
2375830215
0711
114611
2179511
060396
1147392
2495392
32261392
45297392
022141
144881
2554281
033347
1744301
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1279 to 1095 computations (14.4% saved)

end0.0ms (0%)

preprocess140.0ms (1.4%)

Compiler

Compiled 394 to 326 computations (17.3% saved)

Profiling

Loading profile data...