bug323 (missed optimization)

Time bar (total: 2.7s)

analyze0.0ms (0%)

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

Compiled 12 to 9 computations (25% saved)

sample2.2s (81.8%)

Results
1.4s4132×body1024valid
376.0ms2111×body512valid
304.0ms1578×body256valid
202.0ms435×body2048valid
Bogosity

preprocess125.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
34×fma-def
13×+-commutative
12×*-commutative
10×associate--r+
9×associate-+l-
Problems
256×(acos.f64 (-.f64 1 x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01368
12660
24060
36660
410360
514460
616760
717660
Stop Event
1×saturated
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 x))
(acos.f64 (-.f64 1 (neg.f64 x)))
(neg.f64 (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))
(neg.f64 (acos.f64 (-.f64 1 (neg.f64 x))))
(neg.f64 (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
▶6.6%
(acos.f64 (-.f64 1 x))
▶6.6%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 10 to 8 computations (20% saved)

localize61.0ms (2.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓6.6%
(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))

rewrite152.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
587×associate-*r*
399×associate-*l*
324×add-sqr-sqrt
321×*-un-lft-identity
298×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
18614
2100714
Stop Event
1×node limit
Counts
1 → 58
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) (*.f64 (neg.f64 (asin.f64 (+.f64 1 x))) 1))
(+.f64 (neg.f64 (asin.f64 (+.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) -1)
(+.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 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (+.f64 1 x)) 2) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))) (/.f64 (pow.f64 (asin.f64 (+.f64 1 x)) 3) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))))
(*.f64 1 (acos.f64 (+.f64 1 x)))
(*.f64 (acos.f64 (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (acos.f64 (+.f64 1 x))) (sqrt.f64 (acos.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (+.f64 1 x))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))))
(*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/4) (*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/4) (sqrt.f64 (acos.f64 (+.f64 1 x)))))
(*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/4) (sqrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 3/2)))
(*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) (*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (cbrt.f64 (acos.f64 (+.f64 1 x)))))
(*.f64 (*.f64 (sqrt.f64 (acos.f64 (+.f64 1 x))) (cbrt.f64 (acos.f64 (+.f64 1 x)))) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (acos.f64 (+.f64 1 x))) (pow.f64 (acos.f64 (+.f64 1 x)) 1/4)) (pow.f64 (acos.f64 (+.f64 1 x)) 1/4))
(*.f64 (*.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))) (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x)))))
(*.f64 (+.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 (sqrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 3/2)) (pow.f64 (acos.f64 (+.f64 1 x)) 1/4))
(*.f64 (sqrt.f64 (*.f64 (acos.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x)))) 3))
(*.f64 (cbrt.f64 (*.f64 (acos.f64 (+.f64 1 x)) (pow.f64 (acos.f64 (+.f64 1 x)) 3/2))) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6))
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)) (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (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) 2) (*.f64 (neg.f64 (asin.f64 (+.f64 1 x))) (neg.f64 (asin.f64 (+.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) 1))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (neg.f64 (asin.f64 (+.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (*.f64 (neg.f64 (asin.f64 (+.f64 1 x))) (neg.f64 (asin.f64 (+.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2))) (neg.f64 (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))))
(pow.f64 (acos.f64 (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (acos.f64 (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))
(fabs.f64 (acos.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.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))))

simplify84.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
500×unswap-sqr
390×associate-/r/
364×*-commutative
353×associate-/l/
281×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01652771
14182645
217522614
362122614
Stop Event
1×node limit
Counts
62 → 77
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) (*.f64 (neg.f64 (asin.f64 (+.f64 1 x))) 1))
(+.f64 (neg.f64 (asin.f64 (+.f64 1 x))) (*.f64 (PI.f64) 1/2))
(+.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) -1)
(+.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 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (+.f64 1 x)) 2) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))) (/.f64 (pow.f64 (asin.f64 (+.f64 1 x)) 3) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))))
(*.f64 1 (acos.f64 (+.f64 1 x)))
(*.f64 (acos.f64 (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (acos.f64 (+.f64 1 x))) (sqrt.f64 (acos.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (+.f64 1 x))))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))))
(*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/4) (*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/4) (sqrt.f64 (acos.f64 (+.f64 1 x)))))
(*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/4) (sqrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 3/2)))
(*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) (*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (cbrt.f64 (acos.f64 (+.f64 1 x)))))
(*.f64 (*.f64 (sqrt.f64 (acos.f64 (+.f64 1 x))) (cbrt.f64 (acos.f64 (+.f64 1 x)))) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (acos.f64 (+.f64 1 x))) (pow.f64 (acos.f64 (+.f64 1 x)) 1/4)) (pow.f64 (acos.f64 (+.f64 1 x)) 1/4))
(*.f64 (*.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))) (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x)))))
(*.f64 (+.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 (sqrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 3/2)) (pow.f64 (acos.f64 (+.f64 1 x)) 1/4))
(*.f64 (sqrt.f64 (*.f64 (acos.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x)))) 3))
(*.f64 (cbrt.f64 (*.f64 (acos.f64 (+.f64 1 x)) (pow.f64 (acos.f64 (+.f64 1 x)) 3/2))) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6))
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)) (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (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) 2) (*.f64 (neg.f64 (asin.f64 (+.f64 1 x))) (neg.f64 (asin.f64 (+.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) 1))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (neg.f64 (asin.f64 (+.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (*.f64 (neg.f64 (asin.f64 (+.f64 1 x))) (neg.f64 (asin.f64 (+.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2))) (neg.f64 (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))))
(pow.f64 (acos.f64 (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (acos.f64 (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))
(fabs.f64 (acos.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (acos.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.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 (neg.f64 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (neg.f64 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (neg.f64 x)))
(acos.f64 (-.f64 1 x))
(acos.f64 (+.f64 1 (*.f64 -1 x)))
(acos.f64 (+.f64 1 (neg.f64 x)))
(acos.f64 (-.f64 1 x))
(+.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (+.f64 1 x))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))
(+.f64 (*.f64 (PI.f64) 1/2) (*.f64 (neg.f64 (asin.f64 (+.f64 1 x))) 1))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))
(+.f64 (neg.f64 (asin.f64 (+.f64 1 x))) (*.f64 (PI.f64) 1/2))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))
(+.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) -1)
(acos.f64 (+.f64 1 x))
(+.f64 (-.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (acos.f64 (+.f64 1 x)))
(acos.f64 (+.f64 1 x))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) 1)
(acos.f64 (+.f64 1 x))
(-.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (asin.f64 (+.f64 1 x)) 2) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))) (/.f64 (pow.f64 (asin.f64 (+.f64 1 x)) 3) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (fma.f64 (asin.f64 (+.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(*.f64 1 (acos.f64 (+.f64 1 x)))
(acos.f64 (+.f64 1 x))
(*.f64 (acos.f64 (+.f64 1 x)) 1)
(acos.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (acos.f64 (+.f64 1 x))) (sqrt.f64 (acos.f64 (+.f64 1 x))))
(acos.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)) (cbrt.f64 (acos.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) (/.f64 1 (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (fma.f64 (asin.f64 (+.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/4) (*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/4) (sqrt.f64 (acos.f64 (+.f64 1 x)))))
(acos.f64 (+.f64 1 x))
(*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/4) (sqrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 3/2)))
(*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/4) (pow.f64 (acos.f64 (+.f64 1 x)) 3/4))
(*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) (*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) 4))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (cbrt.f64 (acos.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))
(*.f64 (*.f64 (sqrt.f64 (acos.f64 (+.f64 1 x))) (cbrt.f64 (acos.f64 (+.f64 1 x)))) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6))
(*.f64 (sqrt.f64 (acos.f64 (+.f64 1 x))) (*.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6)))
(*.f64 (sqrt.f64 (acos.f64 (+.f64 1 x))) (pow.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) 3))
(*.f64 (*.f64 (sqrt.f64 (acos.f64 (+.f64 1 x))) (pow.f64 (acos.f64 (+.f64 1 x)) 1/4)) (pow.f64 (acos.f64 (+.f64 1 x)) 1/4))
(acos.f64 (+.f64 1 x))
(*.f64 (*.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))))
(*.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6)) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6))
(*.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))) (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)) (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) 4))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (+.f64 1 x)))) (-.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (asin.f64 (+.f64 1 x)))))
(-.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 3/2)) (pow.f64 (acos.f64 (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/4) (sqrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 3/2)))
(*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/4) (pow.f64 (acos.f64 (+.f64 1 x)) 3/4))
(*.f64 (sqrt.f64 (*.f64 (acos.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6))
(*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) (sqrt.f64 (*.f64 (acos.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) 3) (pow.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) 3))
(acos.f64 (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x)))) 3))
(*.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (*.f64 (acos.f64 (+.f64 1 x)) (pow.f64 (acos.f64 (+.f64 1 x)) 3/2))) (pow.f64 (acos.f64 (+.f64 1 x)) 1/6))
(*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) (cbrt.f64 (*.f64 (acos.f64 (+.f64 1 x)) (pow.f64 (acos.f64 (+.f64 1 x)) 3/2))))
(*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 1/6) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 5/2)))
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)) (pow.f64 (acos.f64 (+.f64 1 x)) 2))) (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (+.f64 1 x)))) (cbrt.f64 (*.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2) (cbrt.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (fma.f64 (asin.f64 (+.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (fma.f64 (asin.f64 (+.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) 1) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (fma.f64 (asin.f64 (+.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (neg.f64 (asin.f64 (+.f64 1 x))) (neg.f64 (asin.f64 (+.f64 1 x))))) (-.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) 1))
(acos.f64 (+.f64 1 x))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (neg.f64 (asin.f64 (+.f64 1 x))) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (-.f64 (*.f64 (neg.f64 (asin.f64 (+.f64 1 x))) (neg.f64 (asin.f64 (+.f64 1 x)))) (*.f64 (*.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (fma.f64 (asin.f64 (+.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (acos.f64 (+.f64 1 x))) (log1p.f64 (acos.f64 (+.f64 1 x))))) (+.f64 1 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) 3)) (+.f64 (exp.f64 (*.f64 2 (log1p.f64 (acos.f64 (+.f64 1 x))))) (+.f64 1 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (acos.f64 (+.f64 1 x))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 1 x)))) (pow.f64 (exp.f64 2) (log1p.f64 (acos.f64 (+.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2))) (neg.f64 (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (+.f64 1 x)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (+.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (+.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) (*.f64 (asin.f64 (+.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (+.f64 1 x)) 3)) (fma.f64 (asin.f64 (+.f64 1 x)) (fma.f64 (PI.f64) 1/2 (asin.f64 (+.f64 1 x))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))
(pow.f64 (acos.f64 (+.f64 1 x)) 1)
(acos.f64 (+.f64 1 x))
(pow.f64 (sqrt.f64 (acos.f64 (+.f64 1 x))) 2)
(acos.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (acos.f64 (+.f64 1 x))) 3)
(acos.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (acos.f64 (+.f64 1 x)) 2) 1/2)
(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))
(fabs.f64 (acos.f64 (+.f64 1 x)))
(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))
(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))

eval33.0ms (1.2%)

Compiler

Compiled 1392 to 1171 computations (15.9% saved)

prune9.0ms (0.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New77077
Fresh000
Picked011
Done000
Total77178
Accuracy
6.6%
Counts
78 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓6.6%
(acos.f64 (-.f64 1 x))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×1-exp
2×sub-neg
2×+-commutative
1×neg-mul-1
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11614
22014
32214
42314
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(acos.f64 (-.f64 1 x))
Outputs
(acos.f64 (-.f64 1 x))
Compiler

Compiled 5 to 4 computations (20% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess29.0ms (1.1%)

Compiler

Compiled 36 to 30 computations (16.7% saved)

Profiling

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