bug323 (missed optimization)

Time bar (total: 10.2s)

analyze0.0ms (0%)

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

Compiled 12 to 9 computations (25% saved)

sample2.1s (20.8%)

Results
1.3s4147×body1024valid
391.0ms2085×body512valid
195.0ms1646×body256valid
176.0ms378×body2048valid
Bogosity

preprocess65.0ms (0.6%)

Algorithm
egg-herbie
Rules
64×fma-def
22×sub-neg
18×distribute-lft-neg-in
16×fma-neg
16×associate--r+
Problems
255×(acos.f64 (-.f64 1 x))
No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
11833
23033
35933
49633
513533
615933
716833
Stop Event
saturated
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 (neg.f64 x)))
Outputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 (neg.f64 x)))
(acos.f64 (+.f64 1 x))
Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
7.0%
(acos.f64 (-.f64 1 x))
7.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 10 to 8 computations (20% saved)

localize49.0ms (0.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
7.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite52.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify53.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

eval7.0ms (0.1%)

Compiler

Compiled 337 to 270 computations (19.9% saved)

prune21.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New19726
Fresh000
Picked011
Done000
Total19827
Accuracy
7.1%
Counts
27 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.0%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
7.0%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
7.0%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
7.0%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.0%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
7.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(acos.f64 (-.f64 1 x))
7.0%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
7.0%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
7.0%
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/4) (*.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
7.0%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
7.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.0%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
7.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 414 to 348 computations (15.9% saved)

localize520.0ms (5.1%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.3%
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
66.5%
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
7.0%
(acos.f64 (-.f64 1 x))
99.8%
(sqrt.f64 (acos.f64 (-.f64 1 x)))
99.2%
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
7.0%
(acos.f64 (-.f64 1 x))
98.8%
(asin.f64 (-.f64 1 x))
9.0%
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
100.0%
(+.f64 1 (acos.f64 (-.f64 1 x)))
9.1%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
7.0%
(acos.f64 (-.f64 1 x))
100.0%
(exp.f64 (acos.f64 (-.f64 1 x)))
9.1%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 114 to 88 computations (22.8% saved)

series10.0ms (0.1%)

Counts
10 → 80
Calls

30 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
2.0ms
x
@0
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
2.0ms
x
@-inf
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
0.0ms
x
@0
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)

rewrite210.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1706×fma-def
692×expm1-udef
686×log1p-udef
636×fma-neg
462×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024130
1518130
25934130
Stop Event
node limit
Counts
10 → 1163
Calls
Call 1
Inputs
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (acos.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(+.f64 1 (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(sqrt.f64 (acos.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
Outputs
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (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)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.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 (cbrt.f64 (pow.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 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (/.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))) (/.f64 (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 1/4 (pow.f64 (PI.f64) 2)))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (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 1 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (acos.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3))
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(fma.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (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 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(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)))) 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 (asin.f64 (-.f64 1 x))) 1 (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))))
(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 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) 0)
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (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 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
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(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 0)
(fma.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (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 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1))
(+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (neg.f64 (asin.f64 (-.f64 1 x)))))
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(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(*.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 3) (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (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 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(fma.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) -1)
(fma.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
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(fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1))
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(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (hypot.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) (hypot.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) -1)
(fma.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))

simplify404.0ms (4%)

Algorithm
egg-herbie
Rules
782×exp-prod
750×associate-*r*
678×associate-*l*
644×cube-prod
624×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071846003
1149940393
2561739385
Stop Event
node limit
Counts
1243 → 536
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)))
(exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (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 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (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)))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(sqrt.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
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(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)))
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 3)
(pow.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 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)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
(+.f64 (*.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 (cbrt.f64 (pow.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)))
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(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (neg.f64 (asin.f64 (-.f64 1 x))))) (cbrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) 0)
(fma.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (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 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4)) (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (neg.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)) 0)
(fma.f64 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 1 1/3) (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 (pow.f64 1 1/3) (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))) 0)
(fma.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (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 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (acos.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(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)))) 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 (asin.f64 (-.f64 1 x))) 1 (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))))
(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 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 1) 1)
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) 0)
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (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 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))) (*.f64 (PI.f64) 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1))
(fma.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 0)
(fma.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (asin.f64 (-.f64 1 x))) 1 (asin.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (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 (acos.f64 (-.f64 1 x))) (cbrt.f64 (acos.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x)))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1))
(+.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(-.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(*.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1)
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 3) (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (acos.f64 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (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 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(fma.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 1 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) -1)
(fma.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1))
(fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(fma.f64 (hypot.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) (hypot.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) -1)
(fma.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
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))
(exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (acos.f64 (-.f64 1 x)))
(exp.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (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 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(+.f64 1 (acos.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (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)))
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(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (pow.f64 (acos.f64 (-.f64 1 x)) 3/2))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) 3) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(*.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (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 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))) (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2) -1)) (+.f64 (acos.f64 (-.f64 1 x)) 2))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2))))
(*.f64 (/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 -1 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 2)))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (fma.f64 1/8 (pow.f64 (PI.f64) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (fma.f64 (asin.f64 (-.f64 1 x)) (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x)))) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))) (*.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x))))))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 6))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(log.f64 (exp.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 3))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (acos.f64 (-.f64 1 x)))) 1))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(fma.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(fma.f64 1 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) -1)
(+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1))
(+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 0)
(fma.f64 (acos.f64 (-.f64 1 x)) (acos.f64 (-.f64 1 x)) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(fma.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 -1 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(fma.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (neg.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))))
(*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(fma.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2) (sqrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 1 (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (acos.f64 (-.f64 1 x))) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (neg.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))))
(*.f64 (-.f64 (*.f64 1/2 (PI.f64)) (asin.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(*.f64 (fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x))) (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3))) -1)
(+.f64 1 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1))
(+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 0)
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)
(fma.f64 (hypot.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) (hypot.f64 1 (pow.f64 (acos.f64 (-.f64 1 x)) 3/2)) -1)
(fma.f64 (*.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 3)

eval339.0ms (3.3%)

Compiler

Compiled 16918 to 14163 computations (16.3% saved)

prune150.0ms (1.5%)

Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New92329952
Fresh202
Picked325
Done011
Total92832960
Accuracy
10.9%
Counts
960 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.2%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.7%
(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))
5.2%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
10.7%
(fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (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))))
10.7%
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (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))))
10.7%
(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))))
7.1%
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
5.2%
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
5.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.7%
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
7.0%
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
7.0%
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
7.0%
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2)
10.7%
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
7.0%
(-.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1)
7.0%
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
7.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.7%
(-.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)))))
10.7%
(-.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)))))
10.8%
(-.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)))))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
7.0%
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
7.0%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
10.7%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
7.1%
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
7.0%
(log.f64 (/.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (E.f64)))
7.0%
(log.f64 (*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
7.0%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(acos.f64 (-.f64 1 x))
5.2%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.7%
(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))
5.2%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
10.7%
(fma.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (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))))
10.7%
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (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))))
10.7%
(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))))
7.1%
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
5.2%
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
5.2%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.7%
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (*.f64 (PI.f64) 1/2))
7.0%
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
7.0%
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
7.0%
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2)
10.7%
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
7.0%
(-.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1)
7.0%
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
7.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.7%
(-.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)))))
10.7%
(-.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)))))
10.8%
(-.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)))))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x)))))
7.0%
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
7.0%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
10.7%
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
7.1%
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
7.0%
(log.f64 (/.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (E.f64)))
7.0%
(log.f64 (*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
7.0%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2070 to 1800 computations (13% saved)

localize839.0ms (8.2%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
98.5%
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1)
98.5%
(cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))
9.1%
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
7.0%
(acos.f64 (-.f64 1 x))
98.8%
(asin.f64 (-.f64 1 x))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 1/2))
12.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
100.0%
(exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))
100.0%
(*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
9.1%
(log.f64 (*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
7.0%
(acos.f64 (-.f64 1 x))
100.0%
(+.f64 (acos.f64 (-.f64 1 x)) -1)
9.3%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
7.0%
(acos.f64 (-.f64 1 x))
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))))
9.0%
(-.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)))))
7.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 250 to 200 computations (20% saved)

series69.0ms (0.7%)

Counts
13 → 132
Calls

33 calls:

TimeVariablePointExpression
25.0ms
x
@0
(log.f64 (*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
18.0ms
x
@inf
(log.f64 (*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
12.0ms
x
@-inf
(log.f64 (*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
4.0ms
x
@0
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
4.0ms
x
@-inf
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)

rewrite106.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
664×add-sqr-sqrt
650×pow1
648×*-un-lft-identity
616×add-exp-log
614×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032359
1686195
Stop Event
node limit
Counts
13 → 566
Calls
Call 1
Inputs
(-.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))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(log.f64 (*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (*.f64 (PI.f64) 1/2))
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
(cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1)
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(+.f64 (acos.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))) (asin.f64 (-.f64 1 x))))
(+.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) 1))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 0 (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 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1/2 (PI.f64) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (-.f64 1 x)) 1))) (fma.f64 (asin.f64 (-.f64 1 x)) 1 (*.f64 (asin.f64 (-.f64 1 x)) 1)))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1) 0)
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (asin.f64 (-.f64 1 x)) 1))
(+.f64 (+.f64 (*.f64 (PI.f64) 1/2) (*.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 (-.f64 0 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 -1 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (/.f64 1 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (+.f64 (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 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1)))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.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 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.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 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 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))))
(/.f64 (-.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (-.f64 (acos.f64 (-.f64 1 x)) 0))
(/.f64 (-.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(neg.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(fma.f64 (PI.f64) 1/2 (asin.f64 (-.f64 1 x)))
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(fma.f64 1 (acos.f64 (-.f64 1 x)) 0)
(fma.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(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 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (acos.f64 (-.f64 1 x)) 1))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 0 (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (acos.f64 (-.f64 1 x)))
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
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(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (+.f64 (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 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1)))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))))
(/.f64 1 (/.f64 (acos.f64 (-.f64 1 x)) (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (acos.f64 (-.f64 1 x)))
(/.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 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.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 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 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))))
(/.f64 (-.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (-.f64 (acos.f64 (-.f64 1 x)) 0))
(/.f64 (-.f64 0 (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(neg.f64 (acos.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) (cbrt.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 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))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2))
(*.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))))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) -1)
(*.f64 1 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))
(*.f64 (cbrt.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)) 2) (cbrt.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)) (sqrt.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 2) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 2) -1) (/.f64 1 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 0)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 2) (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 0) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 2) -1)))
(/.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 (acos.f64 (-.f64 1 x)) 1))))
(/.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)) 2) 0))
(/.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 (acos.f64 (-.f64 1 x)) 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)) 2) 0)))
(pow.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2) 3))
(expm1.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(exp.f64 (log.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(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 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) 1)
(*.f64 1 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1/6) (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1/3) (pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1/3))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 8)) (cbrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 4 (*.f64 (acos.f64 (-.f64 1 x)) 2)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -4)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 3)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2))
(fabs.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(+.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -1)
(+.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) -1)
(-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (asin.f64 (-.f64 1 x)) -1))
(-.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1)
(*.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -1))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -1))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1))))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))

simplify215.0ms (2.1%)

Algorithm
egg-herbie
Rules
962×log-prod
730×fma-def
664×exp-prod
400×associate-*r*
394×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066526304
1148818014
2621118014
Stop Event
node limit
Counts
698 → 430
Calls
Call 1
Inputs
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
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(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 3)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2))
(fabs.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))))
(+.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -1)
(+.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) -1)
(-.f64 (*.f64 (PI.f64) 1/2) (+.f64 (asin.f64 (-.f64 1 x)) -1))
(-.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1)
(*.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 1))
(*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) (*.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 1))
(/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -1) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (-.f64 1 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -1))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (+.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 1) (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -1))
(pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 2))
(log.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1))))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
Outputs
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (+.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (acos.f64 (-.f64 1 x)))
(-.f64 (*.f64 1/2 (PI.f64)) (acos.f64 (-.f64 1 x)))
(acos.f64 (-.f64 1 x))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (-.f64 1 x)) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)
(+.f64 (acos.f64 (-.f64 1 x)) -1)
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))
(-.f64 (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(acos.f64 (-.f64 1 x))
(*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(exp.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(exp.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(exp.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(exp.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(exp.f64 (acos.f64 (-.f64 1 x)))
(*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
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(+.f64 1 (acos.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1))))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1) 3))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)) 1))
(+.f64 1 (acos.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 1 (acos.f64 (-.f64 1 x)))

eval605.0ms (5.9%)

Compiler

Compiled 31074 to 26277 computations (15.4% saved)

prune198.0ms (1.9%)

Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New1305211326
Fresh15924
Picked325
Done033
Total1323351358
Accuracy
11.1%
Counts
1358 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.1%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
5.2%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.7%
(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))
5.2%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
10.7%
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
10.8%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))))
10.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
10.7%
(-.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
10.7%
(-.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 3) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
10.7%
(-.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
10.7%
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)))) -1) 1)
10.7%
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
7.0%
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
5.2%
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
7.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.8%
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
10.7%
(-.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)))))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
7.1%
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
7.0%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
7.0%
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
7.1%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.0%
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
7.0%
(+.f64 (acos.f64 (-.f64 1 x)) (PI.f64))
7.1%
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
10.8%
(log.f64 (*.f64 (E.f64) (pow.f64 (pow.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1/3)))
5.2%
(log.f64 (*.f64 (E.f64) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)))
7.0%
(log.f64 (*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
7.0%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.0%
(log.f64 (exp.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
7.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(exp.f64 (log.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
7.0%
(acos.f64 (-.f64 1 x))
7.1%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
5.2%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.7%
(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))
5.2%
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
10.7%
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
10.8%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))))
10.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
10.7%
(-.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
10.7%
(-.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 3) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
10.7%
(-.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
10.7%
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)))) -1) 1)
10.7%
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
7.0%
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
5.2%
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
7.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.8%
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
10.7%
(-.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)))))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
7.1%
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
7.0%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
7.0%
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
7.1%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.0%
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
7.0%
(+.f64 (acos.f64 (-.f64 1 x)) (PI.f64))
7.1%
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
10.8%
(log.f64 (*.f64 (E.f64) (pow.f64 (pow.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1/3)))
5.2%
(log.f64 (*.f64 (E.f64) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)))
7.0%
(log.f64 (*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
7.0%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.0%
(log.f64 (exp.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
7.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(exp.f64 (log.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
7.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2278 to 2020 computations (11.3% saved)

localize846.0ms (8.3%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
98.5%
(cbrt.f64 (asin.f64 (-.f64 1 x)))
98.5%
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
98.4%
(sqrt.f64 (*.f64 (PI.f64) 1/2))
12.0%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
99.9%
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
98.5%
(cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
9.1%
(log.f64 (*.f64 (E.f64) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)))
7.0%
(acos.f64 (-.f64 1 x))
99.9%
(cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))
99.9%
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)
9.3%
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
7.0%
(acos.f64 (-.f64 1 x))
8.9%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
7.0%
(acos.f64 (-.f64 1 x))
98.8%
(asin.f64 (-.f64 1 x))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 1/2))
98.4%
(sqrt.f64 (PI.f64))
12.0%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Compiler

Compiled 242 to 194 computations (19.8% saved)

series39.0ms (0.4%)

Counts
12 → 132
Calls

33 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(log.f64 (*.f64 (E.f64) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)))
6.0ms
x
@0
(log.f64 (*.f64 (E.f64) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)))
6.0ms
x
@inf
(log.f64 (*.f64 (E.f64) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)))
2.0ms
x
@inf
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
2.0ms
x
@-inf
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)

rewrite100.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
664×add-sqr-sqrt
646×pow1
640×*-un-lft-identity
620×add-exp-log
618×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039262
1834172
Stop Event
node limit
Counts
12 → 543
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(sqrt.f64 (PI.f64))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)
(cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(log.f64 (*.f64 (E.f64) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)))
(cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
Outputs
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) -2))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(+.f64 -2 (+.f64 (acos.f64 (-.f64 1 x)) 2))
(+.f64 -2 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1))
(+.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) 1))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1) 0)
(+.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) -2)
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (asin.f64 (-.f64 1 x)) 1))
(+.f64 (+.f64 -2 (acos.f64 (-.f64 1 x))) 2)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (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 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 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))))
(/.f64 (+.f64 -8 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)) (+.f64 4 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (*.f64 -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 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (-.f64 (acos.f64 (-.f64 1 x)) 0))
(/.f64 (-.f64 4 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (-.f64 -2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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 (*.f64 (PI.f64) 1/2) (*.f64 -1 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 0 (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3))
(*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(-.f64 (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 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/3))
(*.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 (pow.f64 1 1/3) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/3))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(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)))))

simplify192.0ms (1.9%)

Algorithm
egg-herbie
Rules
882×div-sub
710×log-prod
684×exp-prod
550×cube-prod
498×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060420199
1130218359
2510718263
Stop Event
node limit
Counts
675 → 374
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (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)))
(+.f64 1 (*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 1 (*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 1 (*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 1 (*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 1 (*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 1 (*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 1 (*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 1 (*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(+.f64 1 (*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)))
(+.f64 1 (*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)))
(+.f64 1 (*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)))
(+.f64 1 (*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)))
(*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (-.f64 1 x)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 1/3)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 1/3)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 1/3)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 1/3)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 1/3)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 1/3)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 1/3)
(pow.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1) 1/3)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 1/3)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 1/3)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 1/3)
(pow.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1) 1/3)
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1))))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))
(log.f64 (*.f64 (E.f64) (exp.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1))))
(pow.f64 (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (acos.f64 (+.f64 1 (*.f64 -1 x))) 1)) 1/3)
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (acos.f64 (-.f64 1 x)) 1)))
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(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))
(+.f64 (acos.f64 (-.f64 1 x)) 0)
(+.f64 2 (+.f64 (acos.f64 (-.f64 1 x)) -2))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(+.f64 -2 (+.f64 (acos.f64 (-.f64 1 x)) 2))
(+.f64 -2 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1))
(+.f64 -1 (+.f64 (acos.f64 (-.f64 1 x)) 1))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 0 (acos.f64 (-.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(+.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) -1)
(+.f64 (*.f64 (acos.f64 (-.f64 1 x)) 1) 0)
(+.f64 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) -2)
(+.f64 (*.f64 (*.f64 (PI.f64) 1/2) 1) (*.f64 (asin.f64 (-.f64 1 x)) 1))
(+.f64 (+.f64 -2 (acos.f64 (-.f64 1 x))) 2)
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (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 (exp.f64 (log1p.f64 (acos.f64 (-.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (+.f64 (acos.f64 (-.f64 1 x)) -2)) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(-.f64 (/.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (+.f64 (acos.f64 (-.f64 1 x)) 4)) (/.f64 4 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(-.f64 (+.f64 (*.f64 (PI.f64) 1/2) 0) (asin.f64 (-.f64 1 x)))
(*.f64 1 (acos.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2) (cbrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) (sqrt.f64 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 3) 1)))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)))
(/.f64 1 (/.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4) (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)))
(/.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 (acos.f64 (-.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8) (-.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) -2))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (+.f64 (acos.f64 (-.f64 1 x)) 4))
(/.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 (acos.f64 (-.f64 1 x)) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2) -1)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) -2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3) -8)) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) 4) (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4)) (neg.f64 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (+.f64 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))))
(/.f64 (+.f64 -8 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 3)) (+.f64 4 (-.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) (*.f64 -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 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (acos.f64 (-.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 2)) (-.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) -1)))
(/.f64 (-.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) 0) (-.f64 (acos.f64 (-.f64 1 x)) 0))
(/.f64 (-.f64 4 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2)) (-.f64 -2 (+.f64 (acos.f64 (-.f64 1 x)) 2)))
(pow.f64 (acos.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(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 (*.f64 (PI.f64) 1/2) (*.f64 -1 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 0 (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(*.f64 1 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3))
(*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(-.f64 (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 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/3))
(*.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 (pow.f64 1 1/3) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/3))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(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)))))
Outputs
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (+.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (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)))
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(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 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(acos.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(acos.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2))
(acos.f64 (-.f64 1 x))
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (acos.f64 (-.f64 1 x)))))
(acos.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (log.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (acos.f64 (-.f64 1 x))) 1))
(acos.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (acos.f64 (-.f64 1 x))))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 -1 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (acos.f64 (-.f64 1 x))) 2)) (cbrt.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (sqrt.f64 (acos.f64 (-.f64 1 x)))) (sqrt.f64 (acos.f64 (-.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(+.f64 0 (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(+.f64 (-.f64 0 (*.f64 (PI.f64) 1/2)) (acos.f64 (-.f64 1 x)))
(+.f64 (acos.f64 (-.f64 1 x)) (neg.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) -1/2))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(-.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x)))
(-.f64 0 (asin.f64 (-.f64 1 x)))
(neg.f64 (asin.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (asin.f64 (-.f64 1 x)))) 1)
(asin.f64 (-.f64 1 x))
(*.f64 1 (asin.f64 (-.f64 1 x)))
(asin.f64 (-.f64 1 x))
(*.f64 -1 (asin.f64 (-.f64 1 x)))
(neg.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(asin.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(neg.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (*.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)))
(asin.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 3))
(asin.f64 (-.f64 1 x))
(*.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(neg.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (neg.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(asin.f64 (-.f64 1 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6)) (pow.f64 (asin.f64 (-.f64 1 x)) 1/6))
(asin.f64 (-.f64 1 x))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2)) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (*.f64 -1 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (sqrt.f64 (asin.f64 (-.f64 1 x))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2) (*.f64 0 (asin.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (+.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3)) (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(neg.f64 (/.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3) (pow.f64 (asin.f64 (-.f64 1 x)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (acos.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (*.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 (*.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 (acos.f64 (-.f64 1 x)) (*.f64 (PI.f64) 1/2)))))
(/.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 (acos.f64 (-.f64 1 x)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))))
(/.f64 (-.f64 0 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(/.f64 (neg.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2)) (asin.f64 (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (acos.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (acos.f64 (-.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (acos.f64 (-.f64 1 x))))
(neg.f64 (asin.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 2))
(asin.f64 (-.f64 1 x))
(log.f64 (exp.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (asin.f64 (-.f64 1 x)))))
(asin.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 3))
(asin.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(exp.f64 (log.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1))
(asin.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (asin.f64 (-.f64 1 x))))
(asin.f64 (-.f64 1 x))
(asin.f64 (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 1)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 -1 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/3))
(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)))))
(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))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (asin.f64 (-.f64 1 x))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/3) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (asin.f64 (-.f64 1 x)))))
(pow.f64 (asin.f64 (-.f64 1 x)) 1/3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 1)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (asin.f64 (-.f64 1 x)) 1/6) 2)
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (asin.f64 (-.f64 1 x))) 1/3))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 1))
(cbrt.f64 (asin.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))))
(cbrt.f64 (asin.f64 (-.f64 1 x)))

eval374.0ms (3.7%)

Compiler

Compiled 19006 to 15838 computations (16.7% saved)

prune161.0ms (1.6%)

Pruning

47 alts after pruning (37 fresh and 10 done)

PrunedKeptTotal
New91717934
Fresh52025
Picked055
Done055
Total92247969
Accuracy
11.1%
Counts
969 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.7%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
7.1%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
10.7%
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
10.7%
(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))
10.8%
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
10.8%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
10.6%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3)))
10.7%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3)))
10.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 3)))
10.8%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
7.0%
(/.f64 (-.f64 4 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -4 (acos.f64 (-.f64 1 x))))
10.7%
(-.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
10.7%
(-.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 3) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
10.7%
(-.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
10.7%
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)))) -1) 1)
10.7%
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
7.0%
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
5.2%
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
7.0%
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
10.8%
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
10.7%
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
7.0%
(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3) 3) 1)
7.1%
(+.f64 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 3) 1)
7.1%
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
7.1%
(+.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1))) 1)
7.0%
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
7.1%
(+.f64 (*.f64 (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
7.0%
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
7.1%
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.0%
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
7.0%
(+.f64 (acos.f64 (-.f64 1 x)) (PI.f64))
7.0%
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
7.1%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.0%
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
7.1%
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
10.8%
(log.f64 (*.f64 (E.f64) (pow.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1/6) 2) 3)))
10.8%
(log.f64 (*.f64 (E.f64) (pow.f64 (pow.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1/3)))
5.2%
(log.f64 (*.f64 (E.f64) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 3) 3)))
5.2%
(log.f64 (*.f64 (E.f64) (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))) 3)))
5.2%
(log.f64 (*.f64 (E.f64) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)))
7.0%
(log.f64 (*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
7.0%
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
7.0%
(log.f64 (exp.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
7.0%
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
7.0%
(exp.f64 (log.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
7.0%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 2026 to 1761 computations (13.1% saved)

regimes75.0ms (0.7%)

Counts
75 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(+.f64 (*.f64 (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (PI.f64))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(log.f64 (exp.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2)
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
(/.f64 (-.f64 4 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -4 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(*.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))))))
(log.f64 (*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (/.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (E.f64)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1)
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
(+.f64 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 3) 1)
(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3) 3) 1)
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1))) 1)
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (*.f64 (E.f64) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)))
(log.f64 (*.f64 (E.f64) (pow.f64 (pow.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1/3)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (sqrt.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)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (*.f64 (E.f64) (pow.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1/6) 2) 3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(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)))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
(-.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1/3) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
(log.f64 (*.f64 (E.f64) (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))) 3)))
(log.f64 (*.f64 (E.f64) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 3) 3)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(-.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)))))
(-.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)))))
(+.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) 3) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)) 3)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 3) 3)))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2))) 3) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(fma.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)))) 1) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3)))
(/.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 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (acos.f64 (-.f64 1 x))))))
(-.f64 (fma.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -1) 1)
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) 2) (cbrt.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))))) 3)))
(fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 1) (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 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 1/4) (sqrt.f64 (acos.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 2) (asin.f64 (-.f64 1 x))))
(-.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2)))) -1) 1)
(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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
Calls

3 calls:

32.0ms
x
7.0ms
(-.f64 1 x)
5.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.8%1x
10.8%1(acos.f64 (-.f64 1 x))
10.8%1(-.f64 1 x)
Compiler

Compiled 1245 to 1054 computations (15.3% saved)

regimes45.0ms (0.4%)

Counts
47 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(+.f64 (*.f64 (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (PI.f64))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(log.f64 (exp.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2)
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
(/.f64 (-.f64 4 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -4 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(*.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))))))
(log.f64 (*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (/.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (E.f64)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (acos.f64 (-.f64 1 x)))) 2) 1)
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (-.f64 1 x)))) 3))
(+.f64 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)))) 3) 1)
(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3) 3) 1)
(-.f64 (+.f64 (acos.f64 (-.f64 1 x)) (*.f64 1/2 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 2) (-.f64 1 (*.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) -1))) 1)
(fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (-.f64 1 x))))
(log.f64 (*.f64 (E.f64) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 3)))
(log.f64 (*.f64 (E.f64) (pow.f64 (pow.f64 (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1/3)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(fma.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) (neg.f64 (sqrt.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)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) 2) (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2)) -2)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (*.f64 (asin.f64 (-.f64 1 x)) (asin.f64 (-.f64 1 x)))) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 1/2) (neg.f64 (asin.f64 (-.f64 1 x))))
Outputs
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
Calls

3 calls:

21.0ms
x
5.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.8%1x
10.8%1(acos.f64 (-.f64 1 x))
10.8%1(-.f64 1 x)
Compiler

Compiled 575 to 491 computations (14.6% saved)

regimes30.0ms (0.3%)

Counts
30 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(+.f64 (*.f64 (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (PI.f64))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(log.f64 (exp.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2)
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
(/.f64 (-.f64 4 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -4 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(*.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))))))
(log.f64 (*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (/.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (E.f64)))
(-.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))
Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
Calls

3 calls:

14.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.7%1x
10.7%1(-.f64 1 x)
10.7%1(acos.f64 (-.f64 1 x))
Compiler

Compiled 313 to 272 computations (13.1% saved)

regimes29.0ms (0.3%)

Counts
29 → 1
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(+.f64 (*.f64 (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (PI.f64))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(log.f64 (exp.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2)
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
(/.f64 (-.f64 4 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -4 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(*.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))))))
(log.f64 (*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (/.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (E.f64)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
Outputs
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
Calls

3 calls:

13.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
10.7%1(-.f64 1 x)
10.7%1(acos.f64 (-.f64 1 x))
10.7%1x
Compiler

Compiled 302 to 263 computations (12.9% saved)

regimes42.0ms (0.4%)

Counts
28 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(+.f64 (*.f64 (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (PI.f64))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(log.f64 (exp.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 3)) 1)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)) 2)
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1) 3) 1/3)
(/.f64 (-.f64 4 (pow.f64 (+.f64 2 (acos.f64 (-.f64 1 x))) 2)) (-.f64 -4 (acos.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -4) (/.f64 1 (+.f64 (acos.f64 (-.f64 1 x)) 4)))
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 2) -1) (+.f64 (acos.f64 (-.f64 1 x)) 3)) 1)
(*.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))))))
(log.f64 (*.f64 (E.f64) (exp.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))))
(log.f64 (/.f64 (exp.f64 (+.f64 1 (acos.f64 (-.f64 1 x)))) (E.f64)))
Outputs
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
Calls

3 calls:

25.0ms
x
6.0ms
(-.f64 1 x)
4.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.8%2(acos.f64 (-.f64 1 x))
9.8%2(-.f64 1 x)
9.8%2x
Compiler

Compiled 291 to 254 computations (12.7% saved)

regimes29.0ms (0.3%)

Counts
17 → 2
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1)
(+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)
(-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)
(-.f64 (-.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) 1) 1)
(+.f64 (*.f64 (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 (acos.f64 (-.f64 1 x)) (PI.f64))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (-.f64 1 x)))
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(log.f64 (exp.f64 (acos.f64 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (acos.f64 (-.f64 1 x))) 2)
(fma.f64 1/2 (PI.f64) (asin.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (acos.f64 (-.f64 1 x)) 3) 1/3)
(exp.f64 (log.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(log.f64 (exp.f64 (+.f64 (+.f64 (acos.f64 (-.f64 1 x)) 2) -2)))
(log.f64 (exp.f64 (-.f64 (+.f64 1 (acos.f64 (-.f64 1 x))) 1)))
(+.f64 (log1p.f64 (expm1.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) 1)
Outputs
(+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1)
(+.f64 (*.f64 (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
Calls

3 calls:

16.0ms
x
5.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.8%2(-.f64 1 x)
9.8%2(acos.f64 (-.f64 1 x))
9.8%2x
Compiler

Compiled 153 to 131 computations (14.4% saved)

regimes19.0ms (0.2%)

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

3 calls:

10.0ms
x
4.0ms
(-.f64 1 x)
3.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
9.8%2(-.f64 1 x)
9.8%2(acos.f64 (-.f64 1 x))
9.8%2x
Compiler

Compiled 76 to 64 computations (15.8% saved)

regimes10.0ms (0.1%)

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

3 calls:

4.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
7.1%1(-.f64 1 x)
7.1%1(acos.f64 (-.f64 1 x))
7.1%1x
Compiler

Compiled 62 to 53 computations (14.5% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

4.0ms
x
2.0ms
(-.f64 1 x)
2.0ms
(acos.f64 (-.f64 1 x))
Results
AccuracySegmentsBranch
7.0%1x
7.0%1(acos.f64 (-.f64 1 x))
7.0%1(-.f64 1 x)
Compiler

Compiled 50 to 42 computations (16% saved)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
6.3134971035767e-20
5.41874118555781e-13
Results
13.0ms144×body256valid
Compiler

Compiled 225 to 205 computations (8.9% saved)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
6.3134971035767e-20
5.41874118555781e-13
Results
13.0ms144×body256valid
Compiler

Compiled 234 to 214 computations (8.5% saved)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
6.3134971035767e-20
5.41874118555781e-13
Results
13.0ms144×body256valid
Compiler

Compiled 207 to 187 computations (9.7% saved)

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
26×+-commutative
18×*-commutative
16×sub-neg
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050405
171405
283405
390405
493405
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (+.f64 (*.f64 (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (acos.f64 (-.f64 1 x)) (PI.f64)) (+.f64 (*.f64 (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1))
(+.f64 (*.f64 (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(acos.f64 (-.f64 1 x))
Outputs
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (-.f64 1 x))))
(-.f64 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 2)) (asin.f64 (-.f64 1 x)))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (sqrt.f64 (asin.f64 (-.f64 1 x))) 2))
(-.f64 (*.f64 (PI.f64) 1/2) (pow.f64 (cbrt.f64 (asin.f64 (-.f64 1 x))) 3))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (+.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3)))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 1) (+.f64 (*.f64 (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 1 (fabs.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1))) (+.f64 1 (*.f64 3 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1/3))))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (acos.f64 (-.f64 1 x)) (PI.f64)) (+.f64 (*.f64 (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1))
(if (<=.f64 x 8924260225606735/162259276829213363391578010288128) (+.f64 (PI.f64) (acos.f64 (-.f64 1 x))) (+.f64 1 (*.f64 3 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1/3))))
(+.f64 (*.f64 (*.f64 1/3 (+.f64 (acos.f64 (-.f64 1 x)) -1)) 3) 1)
(+.f64 1 (*.f64 3 (*.f64 (+.f64 (acos.f64 (-.f64 1 x)) -1) 1/3)))
(acos.f64 (-.f64 1 x))
Compiler

Compiled 144 to 128 computations (11.1% saved)

soundness2.0s (19.7%)

Rules
1706×fma-def
1706×fma-def
1706×fma-def
1706×fma-def
1706×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114611
2179511
024130
1518130
25934130
032359
1686195
024130
1518130
25934130
032359
1686195
039262
1834172
0711
114611
2179511
060396
1147392
2495392
32261392
45297392
024130
1518130
25934130
032359
1686195
066526304
1148818014
2621118014
032359
1686195
066526304
1148818014
2621118014
024130
1518130
25934130
024130
1518130
25934130
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1021 to 857 computations (16.1% saved)

end0.0ms (0%)

preprocess101.0ms (1%)

Compiler

Compiled 298 to 254 computations (14.8% saved)

Profiling

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