Rust f32::acosh

Time bar (total: 5.9s)

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 6 to 4 computations (33.3% saved)

sample932.0ms (15.7%)

Results
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Bogosity

preprocess447.0ms (7.6%)

Algorithm
egg-herbie
Rules
628×add0
490×unsub-neg
425×sub-neg
424×fma-neg
382×distribute-lft-out
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1210-0-(sqrt.f32 (-.f32 (*.f32 x x) 1))
50-0-(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
00-0-x
00-0-(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
00-0-(-.f32 (*.f32 x x) 1)
00-0-1
00-0-(*.f32 x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01668
14468
28968
312668
419368
529268
669168
7153668
8342368
9509668
10622668
11652768
12669668
13682968
14694968
15770168
Stop Event
node limit
Calls
Call 1
Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
(acosh.f32 x)
(acosh.f32 (neg.f32 x))
(neg.f32 (acosh.f32 (neg.f32 x)))
Outputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(acosh.f32 x)
(acosh.f32 (neg.f32 x))
(neg.f32 (acosh.f32 (neg.f32 x)))
Compiler

Compiled 80 to 43 computations (46.3% saved)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
55.8%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

localize148.0ms (2.5%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
98.1%
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
59.3%
(sqrt.f32 (fma.f32 x x -1))
100.0%
(-.f32 (*.f32 x x) 1)
100.0%
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
98.1%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
59.3%
(sqrt.f32 (-.f32 (*.f32 x x) 1))
Compiler

Compiled 61 to 33 computations (45.9% saved)

series19.0ms (0.3%)

Counts
7 → 84
Calls

21 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(-.f32 (*.f32 x x) 1)
1.0ms
x
@0
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
1.0ms
x
@-inf
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
1.0ms
x
@inf
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
1.0ms
x
@0
(sqrt.f32 (-.f32 (*.f32 x x) 1))

rewrite287.0ms (4.9%)

Algorithm
batch-egg-rewrite
Rules
743×log1p-expm1-u
743×expm1-log1p-u
625×unpow-prod-down
348×fma-neg
299×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018173
1222173
22351173
Stop Event
node limit
Counts
7 → 567
Calls
Call 1
Inputs
(sqrt.f32 (-.f32 (*.f32 x x) 1))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
(-.f32 (*.f32 x x) 1)
(sqrt.f32 (fma.f32 x x -1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
Outputs
(+.f32 (sqrt.f32 (fma.f32 x x -1)) 0)
(+.f32 0 (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1)))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))))
(-.f32 (sqrt.f32 (fma.f32 x x -1)) 0)
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1)
(*.f32 1 (sqrt.f32 (fma.f32 x x -1)))
(*.f32 (sqrt.f32 (fma.f32 x x -1)) 1)
(*.f32 (sqrt.f32 (fma.f32 x x -1)) (log.f32 (exp.f32 1)))
(*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1)))
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 1/4)) 2))
(*.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2) (pow.f32 (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x -1))) 1/2))
(*.f32 (pow.f32 (+.f32 x 1) 1/2) (pow.f32 (+.f32 x -1) 1/2))
(*.f32 (pow.f32 (+.f32 x -1) 1/2) (pow.f32 (+.f32 x 1) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 1/4)) 3) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 1/4)) 3))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) 3))
(*.f32 (pow.f32 1 1/3) (sqrt.f32 (fma.f32 x x -1)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) 2) (pow.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x -1))) 3) (pow.f32 (cbrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) 3))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 1/2) (pow.f32 (*.f32 (pow.f32 (fma.f32 x x -1) 1/4) (sqrt.f32 (fma.f32 x x -1))) 1/2))
(*.f32 (pow.f32 (+.f32 (pow.f32 x 6) -1) 1/2) (pow.f32 (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) 1/2))
(*.f32 (pow.f32 (+.f32 (pow.f32 x 4) -1) 1/2) (pow.f32 (/.f32 1 (fma.f32 x x 1)) 1/2))
(*.f32 (pow.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 (fma.f32 x x -1) 1/4)) 1/2) (pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 1/2))
(*.f32 (pow.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (cbrt.f32 (fma.f32 x x -1))) 1/2) (pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 1/2))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2) 1) (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2) 1))
(*.f32 (pow.f32 (pow.f32 (+.f32 x 1) 1/2) 1) (pow.f32 (pow.f32 (+.f32 x -1) 1/2) 1))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) 1) (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) 1))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 x 1)) 1) (pow.f32 (sqrt.f32 (+.f32 x -1)) 1))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))))) 3) (pow.f32 (cbrt.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) 3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x -1) 1/4)) 2) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x -1) 1/4)) 2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/3) (pow.f32 (*.f32 (cbrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1))) 1/3))
(*.f32 (pow.f32 (+.f32 x 1) 1/3) (pow.f32 (*.f32 (+.f32 x -1) (sqrt.f32 (fma.f32 x x -1))) 1/3))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 3) 1/3) (pow.f32 (pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 3) 1/3))
(*.f32 (pow.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 (fma.f32 x x -1) 1/4)) 1/3) (pow.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 (fma.f32 x x -1) 1/4)) 1/3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x -1) 3/2)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x -1) 3/2)) 1/3))
(*.f32 (pow.f32 (pow.f32 (sqrt.f32 (fma.f32 x x -1)) 3/2) 1/3) (pow.f32 (pow.f32 (sqrt.f32 (fma.f32 x x -1)) 3/2) 1/3))
(*.f32 (pow.f32 (*.f32 (fma.f32 x x -1) (cbrt.f32 (fma.f32 x x -1))) 1/3) (pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 1/3))
(*.f32 (pow.f32 (*.f32 (fma.f32 x x -1) (pow.f32 (fma.f32 x x -1) 1/4)) 1/3) (pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 1/3))
(/.f32 (fma.f32 x x -1) (sqrt.f32 (fma.f32 x x -1)))
(/.f32 (pow.f32 (fma.f32 x x -1) 3/2) (+.f32 (fma.f32 x x -1) (-.f32 0 (*.f32 (sqrt.f32 (fma.f32 x x -1)) 0))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x 4) -1)) (hypot.f32 1 x))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x 6) -1)) (hypot.f32 (pow.f32 x 2) (hypot.f32 1 x)))
(pow.f32 (fma.f32 x x -1) 1/2)
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 3)
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2)
(pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 1/3)
(fabs.f32 (sqrt.f32 (fma.f32 x x -1)))
(log.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))))
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) 3))
(exp.f32 (*.f32 (*.f32 1/4 (log.f32 (fma.f32 x x -1))) 2))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 3/2)) 1/3))
(fma.f32 1 (sqrt.f32 (fma.f32 x x -1)) 0)
(fma.f32 (sqrt.f32 (fma.f32 x x -1)) 1 0)
(fma.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1)) 0)
(fma.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) 0)
(fma.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4) 0)
(fma.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/2) 0)
(fma.f32 (pow.f32 (+.f32 x 1) 1/2) (pow.f32 (+.f32 x -1) 1/2) 0)
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) 0)
(fma.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (+.f32 x -1)) 0)
(+.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))))
(+.f32 (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x -1))) (log.f32 (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(-.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)
(-.f32 0 (log.f32 (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))
(-.f32 0 (log.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 (pow.f32 x 2) (fma.f32 x x -1)))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1)
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (+.f32 (fma.f32 x x -1) (-.f32 (pow.f32 x 2) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x -1))) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(-.f32 (*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (log.f32 (+.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2) (-.f32 0 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 0)))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (log.f32 (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))))
(-.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x -1)))) (log.f32 (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(-.f32 (log.f32 (-.f32 (fma.f32 x x -1) (pow.f32 x 2))) (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x -1)) x)))
(-.f32 (log.f32 (-.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2) 0)) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(*.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (log.f32 (exp.f32 1)))
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) 1/3))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) (pow.f32 (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2))
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 1/3 (*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
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(*.f32 (pow.f32 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/3) (pow.f32 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3)) 1/3))
(*.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) 1/3) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/3))
(*.f32 (pow.f32 (*.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/3) (pow.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) 2) (pow.f32 (sqrt.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))
(*.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) (pow.f32 (sqrt.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))
(/.f32 1 (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))))
(/.f32 1 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 (pow.f32 x 2) (fma.f32 x x -1))))
(/.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3) (+.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2) (-.f32 0 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 0))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (+.f32 (fma.f32 x x -1) (-.f32 (pow.f32 x 2) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(/.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x -1)) (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x -1))) (neg.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(/.f32 (-.f32 (fma.f32 x x -1) (pow.f32 x 2)) (-.f32 (sqrt.f32 (fma.f32 x x -1)) x))
(/.f32 (-.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2) 0) (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(/.f32 (pow.f32 (exp.f32 1) (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (pow.f32 (exp.f32 1) 1))
(/.f32 (pow.f32 (exp.f32 1) (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))) (pow.f32 (exp.f32 1) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))))
(/.f32 (pow.f32 (exp.f32 1) (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x -1)))) (pow.f32 (exp.f32 1) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)
(pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3)
(pow.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)
(pow.f32 (exp.f32 1) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) -1)
(pow.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 (pow.f32 x 2) (fma.f32 x x -1))) -1)
(pow.f32 (pow.f32 (exp.f32 1) 1) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (pow.f32 (exp.f32 1) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))
(pow.f32 (pow.f32 (exp.f32 1) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (pow.f32 (exp.f32 1) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) 1) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (*.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2))
(log.f32 (exp.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (*.f32 (exp.f32 x) (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (exp.f32 (sqrt.f32 (fma.f32 x x -1)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (*.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))) (+.f32 1 (expm1.f32 x))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))) (exp.f32 x)))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))) (+.f32 1 (expm1.f32 x))))
(cbrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))
(expm1.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log1p.f32 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(exp.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))
(exp.f32 (*.f32 (log.f32 (exp.f32 1)) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(fma.f32 1 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 1 (sqrt.f32 (fma.f32 x x -1)) x)
(fma.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 0)
(fma.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1 0)
(fma.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) x)
(fma.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) 0)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4) x)
(fma.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 0)
(fma.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x -1)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)

simplify326.0ms (5.5%)

Algorithm
egg-herbie
Rules
933×add0
625×fma-define
595×associate-*r*
367×distribute-rgt-in
351×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082230247
1262529007
Stop Event
node limit
Counts
651 → 525
Calls
Call 1
Inputs
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(-.f32 x (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
(*.f32 -1 x)
(+.f32 (*.f32 -1 x) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (*.f32 -1 x) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (*.f32 -1 x) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
(log.f32 (sqrt.f32 -1))
(+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (/.f32 x (sqrt.f32 -1))))
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (*.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (/.f32 x (sqrt.f32 -1)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 x)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))))
(sqrt.f32 -1)
(+.f32 x (sqrt.f32 -1))
(+.f32 x (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))
(+.f32 x (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))))
(*.f32 2 x)
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
(/.f32 1/2 x)
(+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (*.f32 5/128 (/.f32 1 (pow.f32 x 7))) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
-1
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(pow.f32 x 2)
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(pow.f32 x 2)
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(-.f32 (pow.f32 x 2) 1)
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(-.f32 x (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
(*.f32 -1 x)
(+.f32 (*.f32 -1 x) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (*.f32 -1 x) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (*.f32 -1 x) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
(log.f32 (sqrt.f32 -1))
(+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (/.f32 x (sqrt.f32 -1))))
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (*.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (/.f32 x (sqrt.f32 -1)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
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(/.f32 (pow.f32 (exp.f32 1) (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x -1)))) (pow.f32 (exp.f32 1) (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)
(pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3)
(pow.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)
(pow.f32 (exp.f32 1) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))) (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) -1)
(pow.f32 (/.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 (pow.f32 x 2) (fma.f32 x x -1))) -1)
(pow.f32 (pow.f32 (exp.f32 1) 1) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (pow.f32 (exp.f32 1) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))
(pow.f32 (pow.f32 (exp.f32 1) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (pow.f32 (exp.f32 1) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) 1) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (*.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))) (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))) (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(sqrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 2))
(log.f32 (exp.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (*.f32 (exp.f32 x) (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (exp.f32 (sqrt.f32 (fma.f32 x x -1)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (*.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))) (+.f32 1 (expm1.f32 x))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))) (exp.f32 x)))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))) (+.f32 1 (expm1.f32 x))))
(cbrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))
(expm1.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log1p.f32 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(exp.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))
(exp.f32 (*.f32 (log.f32 (exp.f32 1)) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(fma.f32 1 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 1 (sqrt.f32 (fma.f32 x x -1)) x)
(fma.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 0)
(fma.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1 0)
(fma.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) x)
(fma.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) 0)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4) x)
(fma.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 0)
(fma.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x -1)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)
Outputs
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))
(fma.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)) (sqrt.f32 -1))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)) (*.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))))
(+.f32 (sqrt.f32 -1) (fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (fma.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5)) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))))
(+.f32 (sqrt.f32 -1) (+.f32 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)) (*.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1)))) (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5)))))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (/.f32 1/2 x))
(+.f32 x (/.f32 -1/2 x))
(-.f32 x (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(-.f32 x (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))))
(+.f32 (-.f32 x (/.f32 1/8 (pow.f32 x 3))) (/.f32 -1/2 x))
(-.f32 x (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
(-.f32 x (+.f32 (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))) (/.f32 1/16 (pow.f32 x 5))))
(-.f32 (-.f32 (-.f32 x (/.f32 1/16 (pow.f32 x 5))) (/.f32 1/8 (pow.f32 x 3))) (/.f32 1/2 x))
(*.f32 -1 x)
(neg.f32 x)
(+.f32 (*.f32 -1 x) (*.f32 1/2 (/.f32 1 x)))
(fma.f32 -1 x (/.f32 1/2 x))
(-.f32 (/.f32 1/2 x) x)
(+.f32 (*.f32 -1 x) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(fma.f32 -1 x (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))))
(+.f32 (/.f32 1/8 (pow.f32 x 3)) (-.f32 (/.f32 1/2 x) x))
(+.f32 (*.f32 -1 x) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
(fma.f32 -1 x (+.f32 (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))) (/.f32 1/16 (pow.f32 x 5))))
(+.f32 (/.f32 1/16 (pow.f32 x 5)) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (-.f32 (/.f32 1/2 x) x)))
(log.f32 (sqrt.f32 -1))
(+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (/.f32 x (sqrt.f32 -1))))
(+.f32 (log.f32 (sqrt.f32 -1)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (/.f32 x (sqrt.f32 -1))))
(+.f32 (/.f32 x (sqrt.f32 -1)) (+.f32 (*.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1))) (log.f32 (sqrt.f32 -1))))
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (*.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (/.f32 x (sqrt.f32 -1)))))
(+.f32 (log.f32 (sqrt.f32 -1)) (fma.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)) (fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (/.f32 x (sqrt.f32 -1)))))
(+.f32 (*.f32 1/6 (/.f32 (pow.f32 x 3) (sqrt.f32 -1))) (+.f32 (fma.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5)) (/.f32 x (sqrt.f32 -1))) (log.f32 (sqrt.f32 -1))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x))))
(+.f32 (log.f32 2) (log.f32 x))
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 2) (-.f32 (neg.f32 (neg.f32 (log.f32 x))) (/.f32 1/4 (pow.f32 x 2))))
(+.f32 (log.f32 2) (+.f32 (log.f32 x) (/.f32 -1/4 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 2) (-.f32 (neg.f32 (neg.f32 (log.f32 x))) (+.f32 (/.f32 1/4 (pow.f32 x 2)) (/.f32 3/32 (pow.f32 x 4)))))
(+.f32 (log.f32 2) (-.f32 (log.f32 x) (+.f32 (/.f32 1/4 (pow.f32 x 2)) (/.f32 3/32 (pow.f32 x 4)))))
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(-.f32 (+.f32 (log.f32 2) (neg.f32 (neg.f32 (log.f32 x)))) (+.f32 (+.f32 (/.f32 1/4 (pow.f32 x 2)) (/.f32 3/32 (pow.f32 x 4))) (/.f32 5/96 (pow.f32 x 6))))
(+.f32 (log.f32 2) (-.f32 (-.f32 (log.f32 x) (/.f32 5/96 (pow.f32 x 6))) (+.f32 (/.f32 1/4 (pow.f32 x 2)) (/.f32 3/32 (pow.f32 x 4)))))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 x)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (/.f32 1/4 (pow.f32 x 2)) (log.f32 (/.f32 -1 x))))
(+.f32 (/.f32 1/4 (pow.f32 x 2)) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (/.f32 1/4 (pow.f32 x 2)) (/.f32 3/32 (pow.f32 x 4))) (log.f32 (/.f32 -1 x))))
(+.f32 (+.f32 (/.f32 1/4 (pow.f32 x 2)) (/.f32 3/32 (pow.f32 x 4))) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))))
(+.f32 (log.f32 -1/2) (+.f32 (+.f32 (+.f32 (/.f32 1/4 (pow.f32 x 2)) (/.f32 3/32 (pow.f32 x 4))) (/.f32 5/96 (pow.f32 x 6))) (log.f32 (/.f32 -1 x))))
(+.f32 (+.f32 (/.f32 1/4 (pow.f32 x 2)) (+.f32 (/.f32 3/32 (pow.f32 x 4)) (/.f32 5/96 (pow.f32 x 6)))) (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x))))
(sqrt.f32 -1)
(+.f32 x (sqrt.f32 -1))
(+.f32 (sqrt.f32 -1) x)
(+.f32 x (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))
(+.f32 (+.f32 (sqrt.f32 -1) x) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))
(+.f32 x (fma.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)) (sqrt.f32 -1)))
(+.f32 x (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))))
(+.f32 x (+.f32 (sqrt.f32 -1) (fma.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3)) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))))
(+.f32 (sqrt.f32 -1) (+.f32 x (fma.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)) (*.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1))))))
(*.f32 2 x)
(*.f32 x 2)
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 x 2) (/.f32 1/2 x))
(fma.f32 x 2 (/.f32 -1/2 x))
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(-.f32 (*.f32 x 2) (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))))
(-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) (/.f32 1/8 (pow.f32 x 3)))
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
(-.f32 (-.f32 (*.f32 x 2) (/.f32 1/16 (pow.f32 x 5))) (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))))
(-.f32 (-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) (/.f32 1/8 (pow.f32 x 3))) (/.f32 1/16 (pow.f32 x 5)))
(/.f32 1/2 x)
(+.f32 (*.f32 1/2 (/.f32 1 x)) (*.f32 1/8 (/.f32 1 (pow.f32 x 3))))
(+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3)))
(+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))) (/.f32 1/16 (pow.f32 x 5)))
(+.f32 (/.f32 1/2 x) (+.f32 (/.f32 1/8 (pow.f32 x 3)) (/.f32 1/16 (pow.f32 x 5))))
(+.f32 (*.f32 5/128 (/.f32 1 (pow.f32 x 7))) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
(+.f32 (+.f32 (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))) (/.f32 1/16 (pow.f32 x 5))) (/.f32 5/128 (pow.f32 x 7)))
(+.f32 (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))) (+.f32 (/.f32 1/16 (pow.f32 x 5)) (/.f32 5/128 (pow.f32 x 7))))
-1
(-.f32 (pow.f32 x 2) 1)
(fma.f32 x x -1)
(-.f32 (pow.f32 x 2) 1)
(fma.f32 x x -1)
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(sqrt.f32 -1)
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x
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(-.f32 x (/.f32 1/2 x))
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(sqrt.f32 -1)
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(*.f32 2 x)
(*.f32 x 2)
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 x 2) (/.f32 1/2 x))
(fma.f32 x 2 (/.f32 -1/2 x))
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(-.f32 (*.f32 x 2) (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))))
(-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) (/.f32 1/8 (pow.f32 x 3)))
(-.f32 (*.f32 2 x) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
(-.f32 (-.f32 (*.f32 x 2) (/.f32 1/16 (pow.f32 x 5))) (+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3))))
(-.f32 (-.f32 (fma.f32 x 2 (/.f32 -1/2 x)) (/.f32 1/8 (pow.f32 x 3))) (/.f32 1/16 (pow.f32 x 5)))
(/.f32 1/2 x)
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(+.f32 (/.f32 1/2 x) (/.f32 1/8 (pow.f32 x 3)))
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(sqrt.f32 (fma.f32 x x -1))
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(log.f32 (exp.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(log.f32 (*.f32 (exp.f32 x) (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (exp.f32 (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (log.f32 (+.f32 1 (expm1.f32 x))))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (log1p.f32 (expm1.f32 x)))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (log.f32 (+.f32 1 (expm1.f32 x))))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (log1p.f32 (expm1.f32 x)))
(log.f32 (*.f32 (exp.f32 (sqrt.f32 (fma.f32 x x -1))) (+.f32 1 (expm1.f32 x))))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (log.f32 (+.f32 1 (expm1.f32 x))))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (log1p.f32 (expm1.f32 x)))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))) (exp.f32 x)))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (fma.f32 x x -1)))) (+.f32 1 (expm1.f32 x))))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (log.f32 (+.f32 1 (expm1.f32 x))))
(+.f32 (sqrt.f32 (fma.f32 x x -1)) (log1p.f32 (expm1.f32 x)))
(cbrt.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(expm1.f32 (log1p.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log1p.f32 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(exp.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/3))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(exp.f32 (*.f32 (log.f32 (exp.f32 1)) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 1 x (sqrt.f32 (fma.f32 x x -1)))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 1 (sqrt.f32 (fma.f32 x x -1)) x)
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 0)
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1 0)
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (cbrt.f32 (fma.f32 x x -1)) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) x)
(fma.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1)) x)
(fma.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) 0)
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4) x)
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (/.f32 1 (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 0)
(/.f32 (*.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) 1) (fma.f32 x x (-.f32 (fma.f32 x x -1) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (+.f32 (fma.f32 x x -1) (*.f32 x (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(fma.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x -1)) (/.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)
(/.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x -1)) (-.f32 x (sqrt.f32 (fma.f32 x x -1))))

eval225.0ms (3.8%)

Compiler

Compiled 9651 to 7126 computations (26.2% saved)

prune90.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New5214525
Fresh000
Picked112
Done000
Total5225527
Accuracy
100.0%
Counts
527 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(+.f32 (log.f32 2) (log.f32 x))
55.7%
(log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))
97.6%
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
55.8%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
96.9%
(log.f32 (+.f32 x x))
Compiler

Compiled 41 to 29 computations (29.3% saved)

localize236.0ms (4%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.1%
(+.f32 (log.f32 2) (log.f32 x))
99.9%
(+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1))
99.9%
(-.f32 (sqrt.f32 (fma.f32 x x -1)) 1)
98.1%
(log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))
59.3%
(sqrt.f32 (fma.f32 x x -1))
100.0%
(-.f32 x (/.f32 1/2 x))
100.0%
(+.f32 x (-.f32 x (/.f32 1/2 x)))
98.1%
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
98.2%
(log.f32 (+.f32 x x))
Compiler

Compiled 84 to 51 computations (39.3% saved)

series126.0ms (2.1%)

Counts
9 → 104
Calls

27 calls:

TimeVariablePointExpression
28.0ms
x
@-inf
(+.f32 (log.f32 2) (log.f32 x))
25.0ms
x
@0
(log.f32 (+.f32 x x))
19.0ms
x
@-inf
(log.f32 (+.f32 x x))
17.0ms
x
@0
(+.f32 (log.f32 2) (log.f32 x))
11.0ms
x
@inf
(log.f32 (+.f32 x x))

rewrite196.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
1206×log1p-expm1-u
168×add0
165×expm1-log1p-u
160×add-exp-log
158×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025217
1385196
26052196
Stop Event
node limit
Counts
9 → 364
Calls
Call 1
Inputs
(log.f32 (+.f32 x x))
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(+.f32 x (-.f32 x (/.f32 1/2 x)))
(-.f32 x (/.f32 1/2 x))
(sqrt.f32 (fma.f32 x x -1))
(log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))
(-.f32 (sqrt.f32 (fma.f32 x x -1)) 1)
(+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1))
(+.f32 (log.f32 2) (log.f32 x))
Outputs
(+.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 0 0)))
(+.f32 (log.f32 (/.f32 0 0)) 0)
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 x) (log.f32 2))
(+.f32 0 (log.f32 (/.f32 0 0)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(-.f32 0 (log.f32 (/.f32 0 0)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 0 0)))) 1)
(-.f32 (log.f32 1/2) (log.f32 x))
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 x)))
(-.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (pow.f32 x 2)))
(-.f32 (log.f32 0) (log.f32 0))
(-.f32 (/.f32 (pow.f32 (log.f32 2) 2) (log.f32 (/.f32 2 x))) (/.f32 (pow.f32 (log.f32 x) 2) (log.f32 (/.f32 2 x))))
(*.f32 (log.f32 (/.f32 0 0)) 1)
(*.f32 1 (log.f32 (/.f32 0 0)))
(*.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 2) (cbrt.f32 (log.f32 (/.f32 0 0))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 0 0))) (sqrt.f32 (log.f32 (/.f32 0 0))))
(*.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
(*.f32 (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x))) (/.f32 1 (log.f32 (/.f32 2 x))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3))))
(/.f32 1 (/.f32 (log.f32 (/.f32 2 x)) (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x)))))
(/.f32 (pow.f32 (log.f32 (/.f32 0 0)) 3) (+.f32 (pow.f32 (log.f32 (/.f32 0 0)) 2) (-.f32 0 (*.f32 (log.f32 (/.f32 0 0)) 0))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 2) (log.f32 x)))))
(/.f32 (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x))) (log.f32 (/.f32 2 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
(/.f32 (neg.f32 (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x)))) (neg.f32 (log.f32 (/.f32 2 x))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 0 0)) 2) 0) (-.f32 (log.f32 (/.f32 0 0)) 0))
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))
(pow.f32 (log.f32 (/.f32 0 0)) 1)
(pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 3)
(pow.f32 (pow.f32 (log.f32 (/.f32 0 0)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (/.f32 0 0))) 2)
(neg.f32 (log.f32 (/.f32 0 0)))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 0 0)) 2))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 0 0)) 3))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 0 0))))
(log1p.f32 (-.f32 (/.f32 0 0) 1))
(exp.f32 (log.f32 (log.f32 (/.f32 0 0))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 0 0))) 1))
(fma.f32 1 (log.f32 (/.f32 0 0)) 0)
(fma.f32 1 (log.f32 2) (log.f32 x))
(fma.f32 1 (log.f32 x) (log.f32 2))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 2) (cbrt.f32 (log.f32 (/.f32 0 0))) 0)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (log.f32 x))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 0 0))) (sqrt.f32 (log.f32 (/.f32 0 0))) 0)
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
(fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (log.f32 x))
(+.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) 0)
(+.f32 0 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) 2)) (log.f32 (cbrt.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))))
(+.f32 (log.f32 (sqrt.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))) (log.f32 (sqrt.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))))) 1)
(-.f32 (log.f32 (+.f32 (pow.f32 (-.f32 x (/.f32 0 0)) 3) (pow.f32 x 3))) (log.f32 (fma.f32 x x (*.f32 (-.f32 x (/.f32 0 0)) (-.f32 (-.f32 x (/.f32 0 0)) x)))))
(-.f32 (log.f32 (*.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)) (/.f32 0 0))) (log.f32 (/.f32 0 0)))
(*.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) 1)
(*.f32 1 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))))
(*.f32 (cbrt.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))) (pow.f32 (cbrt.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))) 2) (cbrt.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))) (sqrt.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))))
(/.f32 (pow.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) 3) (+.f32 (pow.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) 2) (-.f32 0 (*.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) 0))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) 2) 0) (-.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) 0))
(pow.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) 1)
(pow.f32 (cbrt.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))) 3)
(pow.f32 (pow.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))) 2)
(sqrt.f32 (pow.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) 2))
(cbrt.f32 (pow.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) 3))
(expm1.f32 (log1p.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))))
(log1p.f32 (-.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)) 1))
(exp.f32 (log.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))) 1))
(fma.f32 1 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) 0)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))) 2) (cbrt.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))) 0)
(fma.f32 (sqrt.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))) (sqrt.f32 (log.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))) 0)
(-.f32 x (-.f32 (/.f32 0 0) x))
(-.f32 (/.f32 0 0) (/.f32 0 0))
(-.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)) 0)
(-.f32 (exp.f32 (log1p.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)))) 1)
(-.f32 (/.f32 (pow.f32 x 2) (/.f32 0 0)) (/.f32 (pow.f32 (-.f32 x (/.f32 0 0)) 2) (/.f32 0 0)))
(*.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)) 1)
(*.f32 1 (-.f32 (/.f32 0 0) (/.f32 0 0)))
(*.f32 (cbrt.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) (pow.f32 (cbrt.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) 2))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) 2) (cbrt.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))))
(*.f32 (sqrt.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))) (sqrt.f32 (-.f32 (/.f32 0 0) (/.f32 0 0))))
(*.f32 (+.f32 (pow.f32 (-.f32 x (/.f32 0 0)) 3) (pow.f32 x 3)) (/.f32 1 (fma.f32 x x (*.f32 (-.f32 x (/.f32 0 0)) (-.f32 (-.f32 x (/.f32 0 0)) x)))))
(*.f32 (*.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)) (/.f32 0 0)) (/.f32 0 0))
(*.f32 (+.f32 (/.f32 0 0) (/.f32 0 0)) (-.f32 (/.f32 0 0) (/.f32 0 0)))
(/.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)) (+.f32 (/.f32 0 0) (+.f32 (/.f32 0 0) (/.f32 0 0))))
(/.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)) (+.f32 (/.f32 0 0) (/.f32 0 0)))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (-.f32 x (/.f32 0 0)) (-.f32 (-.f32 x (/.f32 0 0)) x))) (+.f32 (pow.f32 (-.f32 x (/.f32 0 0)) 3) (pow.f32 x 3))))
(/.f32 1 (/.f32 (/.f32 0 0) (*.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)) (/.f32 0 0))))
(/.f32 (pow.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)) 3) (+.f32 (pow.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)) 2) (-.f32 0 (*.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)) 0))))
(/.f32 (+.f32 (pow.f32 (-.f32 x (/.f32 0 0)) 3) (pow.f32 x 3)) (fma.f32 x x (*.f32 (-.f32 x (/.f32 0 0)) (-.f32 (-.f32 x (/.f32 0 0)) x))))
(/.f32 (+.f32 (pow.f32 (-.f32 x (/.f32 0 0)) 3) (pow.f32 x 3)) (+.f32 (pow.f32 (-.f32 x (/.f32 0 0)) 2) (-.f32 (pow.f32 x 2) (*.f32 x (-.f32 x (/.f32 0 0))))))
(/.f32 (*.f32 (-.f32 (/.f32 0 0) (/.f32 0 0)) (/.f32 0 0)) (/.f32 0 0))
(/.f32 (-.f32 (*.f32 (*.f32 2 (pow.f32 x 3)) x) (*.f32 (pow.f32 x 2) 1/2)) (pow.f32 x 3))
(/.f32 (-.f32 (*.f32 (*.f32 2 (pow.f32 x 3)) (/.f32 0 0)) (*.f32 (pow.f32 x 2) 1)) (*.f32 2 (pow.f32 x 3)))
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(*.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 2) (cbrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 (sqrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 (+.f32 (pow.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) 3) (pow.f32 x 3)) (/.f32 1 (fma.f32 x x (*.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) (-.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) x)))))
(*.f32 (-.f32 (pow.f32 x 2) (pow.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) 2)) (/.f32 1 (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)))
(/.f32 1 (/.f32 (fma.f32 x x (*.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) (-.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) x))) (+.f32 (pow.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) 3) (pow.f32 x 3))))
(/.f32 1 (/.f32 (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) 1) (-.f32 (pow.f32 x 2) (pow.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) 2))))
(/.f32 (pow.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 3) (+.f32 (pow.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 2) (-.f32 0 (*.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 0))))
(/.f32 (+.f32 (pow.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) 3) (pow.f32 x 3)) (fma.f32 x x (*.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) (-.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) x))))
(/.f32 (+.f32 (pow.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) 3) (pow.f32 x 3)) (+.f32 (pow.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) 2) (-.f32 (pow.f32 x 2) (*.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))))))
(/.f32 (-.f32 (pow.f32 x 2) (pow.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) 2)) (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) 3) (pow.f32 x 3))) (neg.f32 (fma.f32 x x (*.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) (-.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) x)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 2) (pow.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) 2))) (neg.f32 (+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)))
(/.f32 (-.f32 (pow.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 3) 1) (+.f32 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) (+.f32 1 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))))
(/.f32 (-.f32 (pow.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) 2) (pow.f32 x 2)) (-.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) x))
(/.f32 (-.f32 (pow.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 2) 0) (-.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 0))
(/.f32 (-.f32 (*.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1) (+.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))
(pow.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 1)
(pow.f32 (cbrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 3)
(pow.f32 (pow.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 2)
(sqrt.f32 (pow.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 2))
(log.f32 (exp.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))))))
(cbrt.f32 (pow.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 3))
(expm1.f32 (log1p.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))))
(log1p.f32 (expm1.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))))
(exp.f32 (log.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))))
(exp.f32 (*.f32 (log.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 1))
(fma.f32 1 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 1 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))) x)
(fma.f32 1 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 0)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) 2) (cbrt.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) x)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 2) (cbrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 0)
(fma.f32 (cbrt.f32 (pow.f32 x 2)) (cbrt.f32 x) (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (sqrt.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (+.f32 -1 (sqrt.f32 (fma.f32 x x -1)))) x)
(fma.f32 (sqrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) (sqrt.f32 (+.f32 x (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))) 0)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (+.f32 -1 (sqrt.f32 (fma.f32 x x -1))))
(-.f32 0 (log.f32 (/.f32 0 0)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 0 0)))) 1)
(-.f32 (log.f32 1/2) (log.f32 x))
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 x)))
(-.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (pow.f32 x 2)))
(-.f32 (log.f32 0) (log.f32 0))
(-.f32 (/.f32 (pow.f32 (log.f32 2) 2) (log.f32 (/.f32 2 x))) (/.f32 (pow.f32 (log.f32 x) 2) (log.f32 (/.f32 2 x))))
(*.f32 (log.f32 (/.f32 0 0)) 1)
(*.f32 1 (log.f32 (/.f32 0 0)))
(*.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 2) (cbrt.f32 (log.f32 (/.f32 0 0))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 0 0))) (sqrt.f32 (log.f32 (/.f32 0 0))))
(*.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
(*.f32 (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x))) (/.f32 1 (log.f32 (/.f32 2 x))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3))))
(/.f32 1 (/.f32 (log.f32 (/.f32 2 x)) (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x)))))
(/.f32 (pow.f32 (log.f32 (/.f32 0 0)) 3) (+.f32 (pow.f32 (log.f32 (/.f32 0 0)) 2) (-.f32 0 (*.f32 (log.f32 (/.f32 0 0)) 0))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 2) (log.f32 x)))))
(/.f32 (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x))) (log.f32 (/.f32 2 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
(/.f32 (neg.f32 (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x)))) (neg.f32 (log.f32 (/.f32 2 x))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 0 0)) 2) 0) (-.f32 (log.f32 (/.f32 0 0)) 0))
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))
(pow.f32 (log.f32 (/.f32 0 0)) 1)
(pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 3)
(pow.f32 (pow.f32 (log.f32 (/.f32 0 0)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (/.f32 0 0))) 2)
(neg.f32 (log.f32 (/.f32 0 0)))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 0 0)) 2))
(log.f32 (/.f32 0 0))
(log.f32 (+.f32 1 (-.f32 (/.f32 0 0) 1)))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 0 0)) 3))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 0 0))))
(log1p.f32 (-.f32 (/.f32 0 0) 1))
(exp.f32 (log.f32 (log.f32 (/.f32 0 0))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 0 0))) 1))
(fma.f32 1 (log.f32 (/.f32 0 0)) 0)
(fma.f32 1 (log.f32 2) (log.f32 x))
(fma.f32 1 (log.f32 x) (log.f32 2))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 2) (cbrt.f32 (log.f32 (/.f32 0 0))) 0)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (log.f32 x))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 0 0))) (sqrt.f32 (log.f32 (/.f32 0 0))) 0)
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
(fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (log.f32 x))

simplify70.0ms (1.2%)

Algorithm
egg-herbie
Rules
634×add0
107×sub-neg
87×+-commutative
65×*-commutative
58×fma-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0783512
13127512
Stop Event
unsound
Counts
468 → 380
Calls
Call 1
Inputs
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (*.f32 -1 (log.f32 x))))
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (*.f32 -4 (pow.f32 x 2)) (*.f32 -1 (log.f32 x)))))
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -64/3 (pow.f32 x 6)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (*.f32 -4 (pow.f32 x 2)) (*.f32 -1 (log.f32 x))))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x)))) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x)))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(/.f32 -1/2 x)
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
(*.f32 2 x)
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
(/.f32 -1/2 x)
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))))
x
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
(-.f32 x (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(-.f32 x (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
(*.f32 -1 x)
(+.f32 (*.f32 -1 x) (*.f32 1/2 (/.f32 1 x)))
(+.f32 (*.f32 -1 x) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
(+.f32 (*.f32 -1 x) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
(log.f32 (sqrt.f32 -1))
(+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (/.f32 x (sqrt.f32 -1))))
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (*.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (/.f32 x (sqrt.f32 -1)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 x)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))))
(-.f32 (sqrt.f32 -1) 1)
(-.f32 (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))) 1)
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))) 1)
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))) 1)
x
(-.f32 x 1)
(-.f32 x (+.f32 1 (*.f32 1/2 (/.f32 1 x))))
(-.f32 x (+.f32 1 (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
(*.f32 -1 x)
(-.f32 (*.f32 -1 x) 1)
(-.f32 (+.f32 (*.f32 -1 x) (*.f32 1/2 (/.f32 1 x))) 1)
(-.f32 (+.f32 (*.f32 -1 x) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))) 1)
(-.f32 (sqrt.f32 -1) 1)
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(*.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 2) (cbrt.f32 (log.f32 (/.f32 0 0))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 0 0))) (sqrt.f32 (log.f32 (/.f32 0 0))))
(*.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
(*.f32 (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x))) (/.f32 1 (log.f32 (/.f32 2 x))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3))))
(/.f32 1 (/.f32 (log.f32 (/.f32 2 x)) (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x)))))
(/.f32 (pow.f32 (log.f32 (/.f32 0 0)) 3) (+.f32 (pow.f32 (log.f32 (/.f32 0 0)) 2) (-.f32 0 (*.f32 (log.f32 (/.f32 0 0)) 0))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 2) (log.f32 x)))))
(/.f32 (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x))) (log.f32 (/.f32 2 x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
(/.f32 (neg.f32 (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x)))) (neg.f32 (log.f32 (/.f32 2 x))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 0 0)) 2) 0) (-.f32 (log.f32 (/.f32 0 0)) 0))
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))
(pow.f32 (log.f32 (/.f32 0 0)) 1)
(pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 3)
(pow.f32 (pow.f32 (log.f32 (/.f32 0 0)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (/.f32 0 0))) 2)
(neg.f32 (log.f32 (/.f32 0 0)))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 0 0)) 2))
(log.f32 (/.f32 0 0))
(log.f32 (+.f32 1 (-.f32 (/.f32 0 0) 1)))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 0 0)) 3))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 0 0))))
(log1p.f32 (-.f32 (/.f32 0 0) 1))
(exp.f32 (log.f32 (log.f32 (/.f32 0 0))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 0 0))) 1))
(fma.f32 1 (log.f32 (/.f32 0 0)) 0)
(fma.f32 1 (log.f32 2) (log.f32 x))
(fma.f32 1 (log.f32 x) (log.f32 2))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 2) (cbrt.f32 (log.f32 (/.f32 0 0))) 0)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (log.f32 x))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 0 0))) (sqrt.f32 (log.f32 (/.f32 0 0))) 0)
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
(fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (log.f32 x))
Outputs
(+.f32 (log.f32 2) (log.f32 x))
-1
(+.f32 (log.f32 2) (log.f32 x))
-1
(+.f32 (log.f32 2) (log.f32 x))
-1
(+.f32 (log.f32 2) (log.f32 x))
-1
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
-1
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
-1
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
-1
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
-1
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(log.f32 -2)
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(log.f32 -2)
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(log.f32 -2)
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(log.f32 -2)
(+.f32 (log.f32 -1/2) (*.f32 -1 (log.f32 x)))
-1
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -4 (pow.f32 x 2)) (*.f32 -1 (log.f32 x))))
-1
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (*.f32 -4 (pow.f32 x 2)) (*.f32 -1 (log.f32 x)))))
-1
(+.f32 (log.f32 -1/2) (+.f32 (*.f32 -64/3 (pow.f32 x 6)) (+.f32 (*.f32 -8 (pow.f32 x 4)) (+.f32 (*.f32 -4 (pow.f32 x 2)) (*.f32 -1 (log.f32 x))))))
-1
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
-1
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
-1
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
-1
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
-1
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(log.f32 -2)
(-.f32 (+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
(log.f32 -2)
(-.f32 (+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x)))) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
(log.f32 -2)
(-.f32 (+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x)))) (+.f32 (*.f32 1/192 (/.f32 1 (pow.f32 x 6))) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
(log.f32 -2)
(/.f32 -1/2 x)
-1
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
-1
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
-1
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
-1
(*.f32 2 x)
-1
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
-1
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
-1
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
-1
(*.f32 2 x)
-1
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
-1
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
-1
(-.f32 (*.f32 2 x) (*.f32 1/2 (/.f32 1 x)))
-1
(/.f32 -1/2 x)
-1
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
-1
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
-1
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
-1
x
-1
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
-1
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
-1
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
-1
x
-1
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
-1
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
-1
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
-1
(sqrt.f32 -1)
-1
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))
-1
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))
-1
(+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))))
-1
x
-1
(-.f32 x (*.f32 1/2 (/.f32 1 x)))
-1
(-.f32 x (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
-1
(-.f32 x (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
-1
(*.f32 -1 x)
-1
(+.f32 (*.f32 -1 x) (*.f32 1/2 (/.f32 1 x)))
-1
(+.f32 (*.f32 -1 x) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))))
-1
(+.f32 (*.f32 -1 x) (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
-1
(log.f32 (sqrt.f32 -1))
-1
(+.f32 (log.f32 (sqrt.f32 -1)) (/.f32 x (sqrt.f32 -1)))
-1
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (/.f32 x (sqrt.f32 -1))))
-1
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (*.f32 -1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (*.f32 3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (/.f32 x (sqrt.f32 -1)))))
-1
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
-1
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))
-1
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
-1
(-.f32 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
-1
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
-1
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 x)) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))
-1
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2))))))
-1
(+.f32 (log.f32 -1/2) (+.f32 (log.f32 (/.f32 -1 x)) (+.f32 (*.f32 5/96 (/.f32 1 (pow.f32 x 6))) (+.f32 (*.f32 3/32 (/.f32 1 (pow.f32 x 4))) (*.f32 1/4 (/.f32 1 (pow.f32 x 2)))))))
-1
(-.f32 (sqrt.f32 -1) 1)
-1
(-.f32 (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))) 1)
-1
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))) 1)
-1
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (+.f32 (*.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))) 1)
-1
x
-1
(-.f32 x 1)
-1
(-.f32 x (+.f32 1 (*.f32 1/2 (/.f32 1 x))))
-1
(-.f32 x (+.f32 1 (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
-1
(*.f32 -1 x)
-1
(-.f32 (*.f32 -1 x) 1)
-1
(-.f32 (+.f32 (*.f32 -1 x) (*.f32 1/2 (/.f32 1 x))) 1)
-1
(-.f32 (+.f32 (*.f32 -1 x) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))) 1)
-1
(-.f32 (sqrt.f32 -1) 1)
-1
(-.f32 (+.f32 x (sqrt.f32 -1)) 1)
-1
(-.f32 (+.f32 x (+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))))) 1)
-1
(-.f32 (+.f32 x (+.f32 (sqrt.f32 -1) (+.f32 (*.f32 -1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))) (*.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))) 1)
-1
(*.f32 2 x)
-1
(-.f32 (*.f32 2 x) 1)
-1
(-.f32 (*.f32 2 x) (+.f32 1 (*.f32 1/2 (/.f32 1 x))))
-1
(-.f32 (*.f32 2 x) (+.f32 1 (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))))
-1
-1
(-.f32 (*.f32 1/2 (/.f32 1 x)) 1)
-1
(-.f32 (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x))) 1)
-1
(-.f32 (+.f32 (*.f32 1/16 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 1/8 (/.f32 1 (pow.f32 x 3))) (*.f32 1/2 (/.f32 1 x)))) 1)
-1
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
-1
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
-1
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
-1
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
-1
(+.f32 (log.f32 -1) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
-1
(+.f32 (log.f32 -1) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
-1
(+.f32 (log.f32 -1) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
-1
(+.f32 (log.f32 -1) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
-1
(+.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 0 0)))
-1
(+.f32 (log.f32 (/.f32 0 0)) 0)
-1
(+.f32 (log.f32 2) (log.f32 x))
-1
(+.f32 (log.f32 x) (log.f32 2))
-1
(+.f32 0 (log.f32 (/.f32 0 0)))
-1
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
-1
(-.f32 0 (log.f32 (/.f32 0 0)))
-1
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 0 0)))) 1)
-1
(-.f32 (log.f32 1/2) (log.f32 x))
-1
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 x)))
-1
(-.f32 (log.f32 (*.f32 2 (pow.f32 x 3))) (log.f32 (pow.f32 x 2)))
-1
(-.f32 (log.f32 0) (log.f32 0))
-1
(-.f32 (/.f32 (pow.f32 (log.f32 2) 2) (log.f32 (/.f32 2 x))) (/.f32 (pow.f32 (log.f32 x) 2) (log.f32 (/.f32 2 x))))
-1
(*.f32 (log.f32 (/.f32 0 0)) 1)
-1
(*.f32 1 (log.f32 (/.f32 0 0)))
-1
(*.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 2))
-1
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 2) (cbrt.f32 (log.f32 (/.f32 0 0))))
-1
(*.f32 (sqrt.f32 (log.f32 (/.f32 0 0))) (sqrt.f32 (log.f32 (/.f32 0 0))))
-1
(*.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (/.f32 1 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
-1
(*.f32 (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x))) (/.f32 1 (log.f32 (/.f32 2 x))))
-1
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))) (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3))))
-1
(/.f32 1 (/.f32 (log.f32 (/.f32 2 x)) (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x)))))
-1
(/.f32 (pow.f32 (log.f32 (/.f32 0 0)) 3) (+.f32 (pow.f32 (log.f32 (/.f32 0 0)) 2) (-.f32 0 (*.f32 (log.f32 (/.f32 0 0)) 0))))
-1
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2)))))
-1
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 2) (log.f32 x)))))
-1
(/.f32 (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x))) (log.f32 (/.f32 2 x)))
-1
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3))) (neg.f32 (+.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (-.f32 (log.f32 x) (log.f32 2))))))
-1
(/.f32 (neg.f32 (*.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 2 x)))) (neg.f32 (log.f32 (/.f32 2 x))))
-1
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 0 0)) 2) 0) (-.f32 (log.f32 (/.f32 0 0)) 0))
-1
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))
-1
(pow.f32 (log.f32 (/.f32 0 0)) 1)
-1
(pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 3)
-1
(pow.f32 (pow.f32 (log.f32 (/.f32 0 0)) 3) 1/3)
-1
(pow.f32 (sqrt.f32 (log.f32 (/.f32 0 0))) 2)
-1
(neg.f32 (log.f32 (/.f32 0 0)))
-1
(sqrt.f32 (pow.f32 (log.f32 (/.f32 0 0)) 2))
-1
(cbrt.f32 (pow.f32 (log.f32 (/.f32 0 0)) 3))
-1
(expm1.f32 (log1p.f32 (log.f32 (/.f32 0 0))))
-1
(log1p.f32 (-.f32 (/.f32 0 0) 1))
-1
(exp.f32 (log.f32 (log.f32 (/.f32 0 0))))
-1
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 0 0))) 1))
-1
(fma.f32 1 (log.f32 (/.f32 0 0)) 0)
-1
(fma.f32 1 (log.f32 2) (log.f32 x))
-1
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(log1p.f32 (-.f32 (/.f32 0 0) 1))
-1
(exp.f32 (log.f32 (log.f32 (/.f32 0 0))))
-1
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 0 0))) 1))
-1
(fma.f32 1 (log.f32 (/.f32 0 0)) 0)
-1
(fma.f32 1 (log.f32 2) (log.f32 x))
-1
(fma.f32 1 (log.f32 x) (log.f32 2))
-1
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 2) (cbrt.f32 (log.f32 (/.f32 0 0))) 0)
-1
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2))
-1
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 2)) 2) (cbrt.f32 (log.f32 2)) (log.f32 x))
-1
(fma.f32 (sqrt.f32 (log.f32 (/.f32 0 0))) (sqrt.f32 (log.f32 (/.f32 0 0))) 0)
-1
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
-1
(fma.f32 (sqrt.f32 (log.f32 2)) (sqrt.f32 (log.f32 2)) (log.f32 x))
-1

eval140.0ms (2.4%)

Compiler

Compiled 6002 to 4934 computations (17.8% saved)

prune59.0ms (1%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New3764380
Fresh000
Picked044
Done011
Total3769385
Accuracy
100.0%
Counts
385 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.2%
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
97.9%
(+.f32 (log.f32 2) (log.f32 x))
96.9%
(log1p.f32 (-.f32 (*.f32 2 x) 1))
44.4%
(log1p.f32 (+.f32 x (/.f32 -2 -1)))
55.7%
(log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))
97.6%
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
55.8%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
96.9%
(log.f32 (+.f32 x x))
3.1%
-1
Compiler

Compiled 67 to 49 computations (26.9% saved)

localize182.0ms (3.1%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.7%
(sqrt.f32 (log.f32 x))
98.5%
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
98.1%
(log1p.f32 (-.f32 (*.f32 2 x) 1))
100.0%
(log1p.f32 (+.f32 x (/.f32 -2 -1)))
Compiler

Compiled 55 to 38 computations (30.9% saved)

series8.0ms (0.1%)

Counts
4 → 44
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(log1p.f32 (+.f32 x (/.f32 -2 -1)))
1.0ms
x
@0
(log1p.f32 (+.f32 x (/.f32 -2 -1)))
1.0ms
x
@-inf
(log1p.f32 (+.f32 x (/.f32 -2 -1)))
1.0ms
x
@-inf
(sqrt.f32 (log.f32 x))
1.0ms
x
@0
(sqrt.f32 (log.f32 x))

rewrite114.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
939×log1p-expm1-u
939×expm1-log1p-u
543×prod-diff
311×fma-neg
161×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02158
124654
2301554
Stop Event
node limit
Counts
4 → 125
Calls
Call 1
Inputs
(log1p.f32 (+.f32 x (/.f32 -2 -1)))
(log1p.f32 (-.f32 (*.f32 2 x) 1))
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
(sqrt.f32 (log.f32 x))
Outputs
(+.f32 (log.f32 (+.f32 3 x)) 0)
(+.f32 0 (log.f32 (+.f32 3 x)))
(-.f32 (log.f32 (+.f32 3 x)) 0)
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 3 x)))) 1)
(*.f32 (log.f32 (+.f32 3 x)) 1)
(*.f32 1 (log.f32 (+.f32 3 x)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) 2) (cbrt.f32 (log.f32 (+.f32 3 x))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 3 x))) (sqrt.f32 (log.f32 (+.f32 3 x))))
(/.f32 (pow.f32 (log.f32 (+.f32 3 x)) 3) (+.f32 (pow.f32 (log.f32 (+.f32 3 x)) 2) (-.f32 0 (*.f32 (log.f32 (+.f32 3 x)) 0))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 3 x)) 2) 0) (log.f32 (+.f32 3 x)))
(pow.f32 (log.f32 (+.f32 3 x)) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 3 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 3 x))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 3 x)) 2))
(log.f32 (+.f32 3 x))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 3 x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 3 x))))
(exp.f32 (log.f32 (log.f32 (+.f32 3 x))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 3 x))) 1))
(fma.f32 (log.f32 (+.f32 3 x)) 1 0)
(fma.f32 1 (log.f32 (+.f32 3 x)) 0)
(fma.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) 2) 0)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) 2) (cbrt.f32 (log.f32 (+.f32 3 x))) 0)
(fma.f32 (sqrt.f32 (log.f32 (+.f32 3 x))) (sqrt.f32 (log.f32 (+.f32 3 x))) 0)
(+.f32 (log.f32 x) (log.f32 2))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 (*.f32 x 2)) 0)
(+.f32 0 (log.f32 (*.f32 x 2)))
(+.f32 (log.f32 (cbrt.f32 (*.f32 (pow.f32 x 2) 4))) (log.f32 (cbrt.f32 (*.f32 x 2))))
(+.f32 (log.f32 (sqrt.f32 (*.f32 x 2))) (log.f32 (sqrt.f32 (*.f32 x 2))))
(-.f32 (log.f32 (*.f32 x 2)) 0)
(-.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 x 2)))) 1)
(*.f32 1 (log.f32 (*.f32 x 2)))
(*.f32 (log.f32 (*.f32 x 2)) 1)
(*.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) (cbrt.f32 (log.f32 (*.f32 x 2))))
(*.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (sqrt.f32 (log.f32 (*.f32 x 2))))
(/.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (-.f32 0 (*.f32 (log.f32 (*.f32 x 2)) 0))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))
(/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) 0) (log.f32 (*.f32 x 2)))
(pow.f32 (log.f32 (*.f32 x 2)) 1)
(pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 3)
(pow.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) 2)
(sqrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2))
(log.f32 (*.f32 x 2))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 x 2))))
(exp.f32 (log.f32 (log.f32 (*.f32 x 2))))
(exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 x 2))) 1))
(fma.f32 1 (log.f32 x) (log.f32 2))
(fma.f32 1 (log.f32 (*.f32 x 2)) 0)
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
(fma.f32 (log.f32 (*.f32 x 2)) 1 0)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2))
(fma.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) 0)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) (cbrt.f32 (log.f32 (*.f32 x 2))) 0)
(fma.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (sqrt.f32 (log.f32 (*.f32 x 2))) 0)
(+.f32 (log.f32 x) (log.f32 2))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 (*.f32 x 2)) 0)
(+.f32 0 (log.f32 (*.f32 x 2)))
(+.f32 (log.f32 (cbrt.f32 (*.f32 (pow.f32 x 2) 4))) (log.f32 (cbrt.f32 (*.f32 x 2))))
(+.f32 (log.f32 (sqrt.f32 (*.f32 x 2))) (log.f32 (sqrt.f32 (*.f32 x 2))))
(-.f32 (log.f32 (*.f32 x 2)) 0)
(-.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 x 2)))) 1)
(*.f32 1 (log.f32 (*.f32 x 2)))
(*.f32 (log.f32 (*.f32 x 2)) 1)
(*.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) (cbrt.f32 (log.f32 (*.f32 x 2))))
(*.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (sqrt.f32 (log.f32 (*.f32 x 2))))
(/.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (-.f32 0 (*.f32 (log.f32 (*.f32 x 2)) 0))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))
(/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) 0) (log.f32 (*.f32 x 2)))
(pow.f32 (log.f32 (*.f32 x 2)) 1)
(pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 3)
(pow.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) 2)
(sqrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2))
(log.f32 (*.f32 x 2))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 x 2))))
(log1p.f32 (fma.f32 x 2 -1))
(exp.f32 (log.f32 (log.f32 (*.f32 x 2))))
(exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 x 2))) 1))
(+.f32 (sqrt.f32 (log.f32 x)) 0)
(+.f32 0 (sqrt.f32 (log.f32 x)))
(-.f32 (sqrt.f32 (log.f32 x)) 0)
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log.f32 x)))) 1)
(*.f32 1 (sqrt.f32 (log.f32 x)))
(*.f32 (sqrt.f32 (log.f32 x)) 1)
(*.f32 (cbrt.f32 (sqrt.f32 (log.f32 x))) (cbrt.f32 (log.f32 x)))
(*.f32 (cbrt.f32 (log.f32 x)) (cbrt.f32 (sqrt.f32 (log.f32 x))))
(*.f32 (pow.f32 (log.f32 x) 1/4) (pow.f32 (log.f32 x) 1/4))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log.f32 x)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) 1/2) (pow.f32 (cbrt.f32 (log.f32 x)) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2)) (sqrt.f32 (cbrt.f32 (log.f32 x))))
(/.f32 (log.f32 x) (sqrt.f32 (log.f32 x)))
(/.f32 (pow.f32 (log.f32 x) 3/2) (+.f32 (log.f32 x) (-.f32 0 (*.f32 (sqrt.f32 (log.f32 x)) 0))))
(pow.f32 (log.f32 x) 1/2)
(pow.f32 (sqrt.f32 (log.f32 x)) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (log.f32 x))) 3)
(pow.f32 (pow.f32 (log.f32 x) 3/2) 1/3)
(pow.f32 (pow.f32 (log.f32 x) 1/4) 2)
(fabs.f32 (sqrt.f32 (log.f32 x)))
(log.f32 (exp.f32 (sqrt.f32 (log.f32 x))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log.f32 x)))))
(cbrt.f32 (pow.f32 (log.f32 x) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log.f32 x))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log.f32 x))))
(exp.f32 (log.f32 (sqrt.f32 (log.f32 x))))
(exp.f32 (*.f32 (log.f32 (log.f32 x)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 x))) 1))
(fma.f32 1 (sqrt.f32 (log.f32 x)) 0)
(fma.f32 (sqrt.f32 (log.f32 x)) 1 0)
(fma.f32 (cbrt.f32 (sqrt.f32 (log.f32 x))) (cbrt.f32 (log.f32 x)) 0)
(fma.f32 (cbrt.f32 (log.f32 x)) (cbrt.f32 (sqrt.f32 (log.f32 x))) 0)
(fma.f32 (pow.f32 (log.f32 x) 1/4) (pow.f32 (log.f32 x) 1/4) 0)
(fma.f32 (pow.f32 1 1/2) (sqrt.f32 (log.f32 x)) 0)
(fma.f32 (pow.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) 1/2) (pow.f32 (cbrt.f32 (log.f32 x)) 1/2) 0)
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2)) (sqrt.f32 (cbrt.f32 (log.f32 x))) 0)

simplify74.0ms (1.2%)

Algorithm
egg-herbie
Rules
553×associate-/l*
531×add0
514×unswap-sqr
393×associate-/r*
294×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02363456
16663332
221503312
Stop Event
node limit
Counts
169 → 154
Calls
Call 1
Inputs
(log.f32 3)
(+.f32 (log.f32 3) (*.f32 1/3 x))
(+.f32 (log.f32 3) (+.f32 (*.f32 -1/18 (pow.f32 x 2)) (*.f32 1/3 x)))
(+.f32 (log.f32 3) (+.f32 (*.f32 -1/18 (pow.f32 x 2)) (+.f32 (*.f32 1/81 (pow.f32 x 3)) (*.f32 1/3 x))))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 3 (/.f32 1 x)))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 3 (/.f32 1 x))) (*.f32 9/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 3 (/.f32 1 x)) (*.f32 9 (/.f32 1 (pow.f32 x 3))))) (*.f32 9/2 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 3 (/.f32 1 x))))
(-.f32 (+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 3 (/.f32 1 x)))) (*.f32 9/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (*.f32 3 (/.f32 1 x)) (*.f32 9 (/.f32 1 (pow.f32 x 3)))))) (*.f32 9/2 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 -1) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 -1) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 -1) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 -1) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1 x))) (sqrt.f32 -1))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1 x))) (sqrt.f32 -1))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1 x))) (sqrt.f32 -1))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1 x))) (sqrt.f32 -1))
(sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 (+.f32 3 x)) 0)
(+.f32 0 (log.f32 (+.f32 3 x)))
(-.f32 (log.f32 (+.f32 3 x)) 0)
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 3 x)))) 1)
(*.f32 (log.f32 (+.f32 3 x)) 1)
(*.f32 1 (log.f32 (+.f32 3 x)))
(*.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) 2) (cbrt.f32 (log.f32 (+.f32 3 x))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 3 x))) (sqrt.f32 (log.f32 (+.f32 3 x))))
(/.f32 (pow.f32 (log.f32 (+.f32 3 x)) 3) (+.f32 (pow.f32 (log.f32 (+.f32 3 x)) 2) (-.f32 0 (*.f32 (log.f32 (+.f32 3 x)) 0))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 3 x)) 2) 0) (log.f32 (+.f32 3 x)))
(pow.f32 (log.f32 (+.f32 3 x)) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 3 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 3 x))) 2)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 3 x)) 2))
(log.f32 (+.f32 3 x))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 3 x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 3 x))))
(exp.f32 (log.f32 (log.f32 (+.f32 3 x))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 3 x))) 1))
(fma.f32 (log.f32 (+.f32 3 x)) 1 0)
(fma.f32 1 (log.f32 (+.f32 3 x)) 0)
(fma.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) 2) 0)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) 2) (cbrt.f32 (log.f32 (+.f32 3 x))) 0)
(fma.f32 (sqrt.f32 (log.f32 (+.f32 3 x))) (sqrt.f32 (log.f32 (+.f32 3 x))) 0)
(+.f32 (log.f32 x) (log.f32 2))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 (*.f32 x 2)) 0)
(+.f32 0 (log.f32 (*.f32 x 2)))
(+.f32 (log.f32 (cbrt.f32 (*.f32 (pow.f32 x 2) 4))) (log.f32 (cbrt.f32 (*.f32 x 2))))
(+.f32 (log.f32 (sqrt.f32 (*.f32 x 2))) (log.f32 (sqrt.f32 (*.f32 x 2))))
(-.f32 (log.f32 (*.f32 x 2)) 0)
(-.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 x 2)))) 1)
(*.f32 1 (log.f32 (*.f32 x 2)))
(*.f32 (log.f32 (*.f32 x 2)) 1)
(*.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) (cbrt.f32 (log.f32 (*.f32 x 2))))
(*.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (sqrt.f32 (log.f32 (*.f32 x 2))))
(/.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (-.f32 0 (*.f32 (log.f32 (*.f32 x 2)) 0))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))
(/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) 0) (log.f32 (*.f32 x 2)))
(pow.f32 (log.f32 (*.f32 x 2)) 1)
(pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 3)
(pow.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) 2)
(sqrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2))
(log.f32 (*.f32 x 2))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 x 2))))
(exp.f32 (log.f32 (log.f32 (*.f32 x 2))))
(exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 x 2))) 1))
(fma.f32 1 (log.f32 x) (log.f32 2))
(fma.f32 1 (log.f32 (*.f32 x 2)) 0)
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
(fma.f32 (log.f32 (*.f32 x 2)) 1 0)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2))
(fma.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) 0)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) (cbrt.f32 (log.f32 (*.f32 x 2))) 0)
(fma.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (sqrt.f32 (log.f32 (*.f32 x 2))) 0)
(+.f32 (log.f32 x) (log.f32 2))
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 (*.f32 x 2)) 0)
(+.f32 0 (log.f32 (*.f32 x 2)))
(+.f32 (log.f32 (cbrt.f32 (*.f32 (pow.f32 x 2) 4))) (log.f32 (cbrt.f32 (*.f32 x 2))))
(+.f32 (log.f32 (sqrt.f32 (*.f32 x 2))) (log.f32 (sqrt.f32 (*.f32 x 2))))
(-.f32 (log.f32 (*.f32 x 2)) 0)
(-.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 x 2)))) 1)
(*.f32 1 (log.f32 (*.f32 x 2)))
(*.f32 (log.f32 (*.f32 x 2)) 1)
(*.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) (cbrt.f32 (log.f32 (*.f32 x 2))))
(*.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (sqrt.f32 (log.f32 (*.f32 x 2))))
(/.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (-.f32 0 (*.f32 (log.f32 (*.f32 x 2)) 0))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))
(/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) 0) (log.f32 (*.f32 x 2)))
(pow.f32 (log.f32 (*.f32 x 2)) 1)
(pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 3)
(pow.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) 2)
(sqrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2))
(log.f32 (*.f32 x 2))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 x 2))))
(log1p.f32 (fma.f32 x 2 -1))
(exp.f32 (log.f32 (log.f32 (*.f32 x 2))))
(exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 x 2))) 1))
(+.f32 (sqrt.f32 (log.f32 x)) 0)
(+.f32 0 (sqrt.f32 (log.f32 x)))
(-.f32 (sqrt.f32 (log.f32 x)) 0)
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log.f32 x)))) 1)
(*.f32 1 (sqrt.f32 (log.f32 x)))
(*.f32 (sqrt.f32 (log.f32 x)) 1)
(*.f32 (cbrt.f32 (sqrt.f32 (log.f32 x))) (cbrt.f32 (log.f32 x)))
(*.f32 (cbrt.f32 (log.f32 x)) (cbrt.f32 (sqrt.f32 (log.f32 x))))
(*.f32 (pow.f32 (log.f32 x) 1/4) (pow.f32 (log.f32 x) 1/4))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log.f32 x)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) 1/2) (pow.f32 (cbrt.f32 (log.f32 x)) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2)) (sqrt.f32 (cbrt.f32 (log.f32 x))))
(/.f32 (log.f32 x) (sqrt.f32 (log.f32 x)))
(/.f32 (pow.f32 (log.f32 x) 3/2) (+.f32 (log.f32 x) (-.f32 0 (*.f32 (sqrt.f32 (log.f32 x)) 0))))
(pow.f32 (log.f32 x) 1/2)
(pow.f32 (sqrt.f32 (log.f32 x)) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (log.f32 x))) 3)
(pow.f32 (pow.f32 (log.f32 x) 3/2) 1/3)
(pow.f32 (pow.f32 (log.f32 x) 1/4) 2)
(fabs.f32 (sqrt.f32 (log.f32 x)))
(log.f32 (exp.f32 (sqrt.f32 (log.f32 x))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log.f32 x)))))
(cbrt.f32 (pow.f32 (log.f32 x) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log.f32 x))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log.f32 x))))
(exp.f32 (log.f32 (sqrt.f32 (log.f32 x))))
(exp.f32 (*.f32 (log.f32 (log.f32 x)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 x))) 1))
(fma.f32 1 (sqrt.f32 (log.f32 x)) 0)
(fma.f32 (sqrt.f32 (log.f32 x)) 1 0)
(fma.f32 (cbrt.f32 (sqrt.f32 (log.f32 x))) (cbrt.f32 (log.f32 x)) 0)
(fma.f32 (cbrt.f32 (log.f32 x)) (cbrt.f32 (sqrt.f32 (log.f32 x))) 0)
(fma.f32 (pow.f32 (log.f32 x) 1/4) (pow.f32 (log.f32 x) 1/4) 0)
(fma.f32 (pow.f32 1 1/2) (sqrt.f32 (log.f32 x)) 0)
(fma.f32 (pow.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) 1/2) (pow.f32 (cbrt.f32 (log.f32 x)) 1/2) 0)
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2)) (sqrt.f32 (cbrt.f32 (log.f32 x))) 0)
Outputs
(log.f32 3)
(+.f32 (log.f32 3) (*.f32 1/3 x))
(fma.f32 1/3 x (log.f32 3))
(+.f32 (log.f32 3) (+.f32 (*.f32 -1/18 (pow.f32 x 2)) (*.f32 1/3 x)))
(+.f32 (log.f32 3) (fma.f32 -1/18 (pow.f32 x 2) (*.f32 1/3 x)))
(+.f32 (fma.f32 1/3 x (log.f32 3)) (*.f32 -1/18 (pow.f32 x 2)))
(+.f32 (log.f32 3) (*.f32 x (+.f32 1/3 (*.f32 x -1/18))))
(+.f32 (log.f32 3) (+.f32 (*.f32 -1/18 (pow.f32 x 2)) (+.f32 (*.f32 1/81 (pow.f32 x 3)) (*.f32 1/3 x))))
(+.f32 (log.f32 3) (fma.f32 -1/18 (pow.f32 x 2) (fma.f32 1/81 (pow.f32 x 3) (*.f32 1/3 x))))
(+.f32 (*.f32 (pow.f32 x 2) (+.f32 -1/18 (*.f32 x 1/81))) (fma.f32 1/3 x (log.f32 3)))
(*.f32 -1 (log.f32 (/.f32 1 x)))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 x)
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 3 (/.f32 1 x)))
(fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 3 x))
(+.f32 (/.f32 3 x) (log.f32 x))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (*.f32 3 (/.f32 1 x))) (*.f32 9/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (/.f32 3 x)) (/.f32 9/2 (pow.f32 x 2)))
(+.f32 (/.f32 3 x) (-.f32 (log.f32 x) (/.f32 9/2 (pow.f32 x 2))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 3 (/.f32 1 x)) (*.f32 9 (/.f32 1 (pow.f32 x 3))))) (*.f32 9/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 x)) (+.f32 (/.f32 3 x) (/.f32 9 (pow.f32 x 3)))) (/.f32 9/2 (pow.f32 x 2)))
(+.f32 (+.f32 (/.f32 3 x) (log.f32 x)) (+.f32 (/.f32 9 (pow.f32 x 3)) (/.f32 -9/2 (pow.f32 x 2))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 x))))
(-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 3 (/.f32 1 x))))
(+.f32 (log.f32 -1) (fma.f32 -1 (log.f32 (/.f32 -1 x)) (/.f32 3 x)))
(+.f32 (/.f32 3 x) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (*.f32 3 (/.f32 1 x)))) (*.f32 9/2 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log.f32 -1) (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 x)) (/.f32 3 x)) (/.f32 9/2 (pow.f32 x 2))))
(+.f32 (log.f32 -1) (+.f32 (-.f32 (/.f32 3 x) (log.f32 (/.f32 -1 x))) (/.f32 -9/2 (pow.f32 x 2))))
(+.f32 (/.f32 3 x) (-.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))) (/.f32 9/2 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 -1) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (*.f32 3 (/.f32 1 x)) (*.f32 9 (/.f32 1 (pow.f32 x 3)))))) (*.f32 9/2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 -1) (fma.f32 -1 (log.f32 (/.f32 -1 x)) (+.f32 (/.f32 3 x) (/.f32 9 (pow.f32 x 3))))) (/.f32 9/2 (pow.f32 x 2)))
(+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))) (+.f32 (/.f32 3 x) (-.f32 (/.f32 9 (pow.f32 x 3)) (/.f32 9/2 (pow.f32 x 2)))))
(+.f32 (+.f32 (/.f32 3 x) (/.f32 9 (pow.f32 x 3))) (-.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))) (/.f32 9/2 (pow.f32 x 2))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(-.f32 (log.f32 -2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 -1) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 -1) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 2)))
(+.f32 (log.f32 -1) (-.f32 (log.f32 2) (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 (log.f32 -1) (log.f32 2)) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 -1) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 2)))
(+.f32 (log.f32 -1) (-.f32 (log.f32 2) (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 (log.f32 -1) (log.f32 2)) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 -1) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 2)))
(+.f32 (log.f32 -1) (-.f32 (log.f32 2) (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 (log.f32 -1) (log.f32 2)) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(+.f32 (log.f32 -1) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 2)))
(+.f32 (log.f32 -1) (-.f32 (log.f32 2) (log.f32 (/.f32 -1 x))))
(-.f32 (+.f32 (log.f32 -1) (log.f32 2)) (log.f32 (/.f32 -1 x)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1 x))) (sqrt.f32 -1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 x))) (sqrt.f32 -1))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1 x))) (sqrt.f32 -1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 x))) (sqrt.f32 -1))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1 x))) (sqrt.f32 -1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 x))) (sqrt.f32 -1))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1 x))) (sqrt.f32 -1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 x))) (sqrt.f32 -1))
(sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 x)))))
(sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 x)))))
(sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 x)))))
(sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))))
(sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (log.f32 (/.f32 -1 x)))))
(sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))))
(+.f32 (log.f32 (+.f32 3 x)) 0)
(log.f32 (+.f32 3 x))
(+.f32 0 (log.f32 (+.f32 3 x)))
(log.f32 (+.f32 3 x))
(-.f32 (log.f32 (+.f32 3 x)) 0)
(log.f32 (+.f32 3 x))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 3 x)))) 1)
(log.f32 (+.f32 3 x))
(*.f32 (log.f32 (+.f32 3 x)) 1)
(log.f32 (+.f32 3 x))
(*.f32 1 (log.f32 (+.f32 3 x)))
(log.f32 (+.f32 3 x))
(*.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) 2))
(log.f32 (+.f32 3 x))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) 2) (cbrt.f32 (log.f32 (+.f32 3 x))))
(log.f32 (+.f32 3 x))
(*.f32 (sqrt.f32 (log.f32 (+.f32 3 x))) (sqrt.f32 (log.f32 (+.f32 3 x))))
(log.f32 (+.f32 3 x))
(/.f32 (pow.f32 (log.f32 (+.f32 3 x)) 3) (+.f32 (pow.f32 (log.f32 (+.f32 3 x)) 2) (-.f32 0 (*.f32 (log.f32 (+.f32 3 x)) 0))))
(log.f32 (+.f32 3 x))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 3 x)) 2) 0) (log.f32 (+.f32 3 x)))
(log.f32 (+.f32 3 x))
(pow.f32 (log.f32 (+.f32 3 x)) 1)
(log.f32 (+.f32 3 x))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) 3)
(log.f32 (+.f32 3 x))
(pow.f32 (pow.f32 (log.f32 (+.f32 3 x)) 3) 1/3)
(log.f32 (+.f32 3 x))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 3 x))) 2)
(log.f32 (+.f32 3 x))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 3 x)) 2))
(log.f32 (+.f32 3 x))
(log.f32 (+.f32 3 x))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 3 x)) 3))
(log.f32 (+.f32 3 x))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 3 x))))
(log.f32 (+.f32 3 x))
(exp.f32 (log.f32 (log.f32 (+.f32 3 x))))
(log.f32 (+.f32 3 x))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 3 x))) 1))
(log.f32 (+.f32 3 x))
(fma.f32 (log.f32 (+.f32 3 x)) 1 0)
(log.f32 (+.f32 3 x))
(fma.f32 1 (log.f32 (+.f32 3 x)) 0)
(log.f32 (+.f32 3 x))
(fma.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) (pow.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) 2) 0)
(log.f32 (+.f32 3 x))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 3 x))) 2) (cbrt.f32 (log.f32 (+.f32 3 x))) 0)
(log.f32 (+.f32 3 x))
(fma.f32 (sqrt.f32 (log.f32 (+.f32 3 x))) (sqrt.f32 (log.f32 (+.f32 3 x))) 0)
(log.f32 (+.f32 3 x))
(+.f32 (log.f32 x) (log.f32 2))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 (*.f32 x 2)) 0)
(log.f32 (*.f32 x 2))
(+.f32 0 (log.f32 (*.f32 x 2)))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 (cbrt.f32 (*.f32 (pow.f32 x 2) 4))) (log.f32 (cbrt.f32 (*.f32 x 2))))
(+.f32 (log.f32 (sqrt.f32 (*.f32 x 2))) (log.f32 (sqrt.f32 (*.f32 x 2))))
(*.f32 2 (log.f32 (sqrt.f32 (*.f32 x 2))))
(-.f32 (log.f32 (*.f32 x 2)) 0)
(log.f32 (*.f32 x 2))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 x 2)))) 1)
(log.f32 (*.f32 x 2))
(*.f32 1 (log.f32 (*.f32 x 2)))
(log.f32 (*.f32 x 2))
(*.f32 (log.f32 (*.f32 x 2)) 1)
(log.f32 (*.f32 x 2))
(*.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2))
(log.f32 (*.f32 x 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) (cbrt.f32 (log.f32 (*.f32 x 2))))
(log.f32 (*.f32 x 2))
(*.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (sqrt.f32 (log.f32 (*.f32 x 2))))
(log.f32 (*.f32 x 2))
(/.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (-.f32 0 (*.f32 (log.f32 (*.f32 x 2)) 0))))
(log.f32 (*.f32 x 2))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 2) (log.f32 x)))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (*.f32 (log.f32 2) (-.f32 (log.f32 2) (log.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))
(/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) 0) (log.f32 (*.f32 x 2)))
(log.f32 (*.f32 x 2))
(pow.f32 (log.f32 (*.f32 x 2)) 1)
(log.f32 (*.f32 x 2))
(pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 3)
(log.f32 (*.f32 x 2))
(pow.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) 1/3)
(log.f32 (*.f32 x 2))
(pow.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) 2)
(log.f32 (*.f32 x 2))
(sqrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2))
(log.f32 (*.f32 x 2))
(log.f32 (*.f32 x 2))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3))
(log.f32 (*.f32 x 2))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 x 2))))
(log.f32 (*.f32 x 2))
(exp.f32 (log.f32 (log.f32 (*.f32 x 2))))
(log.f32 (*.f32 x 2))
(exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 x 2))) 1))
(log.f32 (*.f32 x 2))
(fma.f32 1 (log.f32 x) (log.f32 2))
(log.f32 (*.f32 x 2))
(fma.f32 1 (log.f32 (*.f32 x 2)) 0)
(log.f32 (*.f32 x 2))
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
(log.f32 (*.f32 x 2))
(fma.f32 (log.f32 (*.f32 x 2)) 1 0)
(log.f32 (*.f32 x 2))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2))
(log.f32 (*.f32 x 2))
(fma.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) 0)
(log.f32 (*.f32 x 2))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) (cbrt.f32 (log.f32 (*.f32 x 2))) 0)
(log.f32 (*.f32 x 2))
(fma.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (sqrt.f32 (log.f32 (*.f32 x 2))) 0)
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 x) (log.f32 2))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 (*.f32 x 2)) 0)
(log.f32 (*.f32 x 2))
(+.f32 0 (log.f32 (*.f32 x 2)))
(log.f32 (*.f32 x 2))
(+.f32 (log.f32 (cbrt.f32 (*.f32 (pow.f32 x 2) 4))) (log.f32 (cbrt.f32 (*.f32 x 2))))
(+.f32 (log.f32 (sqrt.f32 (*.f32 x 2))) (log.f32 (sqrt.f32 (*.f32 x 2))))
(*.f32 2 (log.f32 (sqrt.f32 (*.f32 x 2))))
(-.f32 (log.f32 (*.f32 x 2)) 0)
(log.f32 (*.f32 x 2))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 x 2)))) 1)
(log.f32 (*.f32 x 2))
(*.f32 1 (log.f32 (*.f32 x 2)))
(log.f32 (*.f32 x 2))
(*.f32 (log.f32 (*.f32 x 2)) 1)
(log.f32 (*.f32 x 2))
(*.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2))
(log.f32 (*.f32 x 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 2) (cbrt.f32 (log.f32 (*.f32 x 2))))
(log.f32 (*.f32 x 2))
(*.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) (sqrt.f32 (log.f32 (*.f32 x 2))))
(log.f32 (*.f32 x 2))
(/.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) (+.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) (-.f32 0 (*.f32 (log.f32 (*.f32 x 2)) 0))))
(log.f32 (*.f32 x 2))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 x) (log.f32 2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 (pow.f32 (log.f32 2) 2) (*.f32 (log.f32 2) (log.f32 x)))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) (pow.f32 (log.f32 2) 3)) (+.f32 (pow.f32 (log.f32 x) 2) (*.f32 (log.f32 2) (-.f32 (log.f32 2) (log.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 x) 2) (pow.f32 (log.f32 2) 2)) (-.f32 (log.f32 x) (log.f32 2)))
(/.f32 (-.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2) 0) (log.f32 (*.f32 x 2)))
(log.f32 (*.f32 x 2))
(pow.f32 (log.f32 (*.f32 x 2)) 1)
(log.f32 (*.f32 x 2))
(pow.f32 (cbrt.f32 (log.f32 (*.f32 x 2))) 3)
(log.f32 (*.f32 x 2))
(pow.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3) 1/3)
(log.f32 (*.f32 x 2))
(pow.f32 (sqrt.f32 (log.f32 (*.f32 x 2))) 2)
(log.f32 (*.f32 x 2))
(sqrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 2))
(log.f32 (*.f32 x 2))
(log.f32 (*.f32 x 2))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 x 2)) 3))
(log.f32 (*.f32 x 2))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 x 2))))
(log.f32 (*.f32 x 2))
(log1p.f32 (fma.f32 x 2 -1))
(exp.f32 (log.f32 (log.f32 (*.f32 x 2))))
(log.f32 (*.f32 x 2))
(exp.f32 (*.f32 (log.f32 (log.f32 (*.f32 x 2))) 1))
(log.f32 (*.f32 x 2))
(+.f32 (sqrt.f32 (log.f32 x)) 0)
(sqrt.f32 (log.f32 x))
(+.f32 0 (sqrt.f32 (log.f32 x)))
(sqrt.f32 (log.f32 x))
(-.f32 (sqrt.f32 (log.f32 x)) 0)
(sqrt.f32 (log.f32 x))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log.f32 x)))) 1)
(sqrt.f32 (log.f32 x))
(*.f32 1 (sqrt.f32 (log.f32 x)))
(sqrt.f32 (log.f32 x))
(*.f32 (sqrt.f32 (log.f32 x)) 1)
(sqrt.f32 (log.f32 x))
(*.f32 (cbrt.f32 (sqrt.f32 (log.f32 x))) (cbrt.f32 (log.f32 x)))
(*.f32 (cbrt.f32 (log.f32 x)) (cbrt.f32 (sqrt.f32 (log.f32 x))))
(*.f32 (cbrt.f32 (log.f32 x)) (cbrt.f32 (sqrt.f32 (log.f32 x))))
(*.f32 (pow.f32 (log.f32 x) 1/4) (pow.f32 (log.f32 x) 1/4))
(sqrt.f32 (log.f32 x))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log.f32 x)))
(sqrt.f32 (log.f32 x))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) 1/2) (pow.f32 (cbrt.f32 (log.f32 x)) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2)) (sqrt.f32 (cbrt.f32 (log.f32 x))))
(*.f32 (fabs.f32 (cbrt.f32 (log.f32 x))) (sqrt.f32 (cbrt.f32 (log.f32 x))))
(*.f32 (cbrt.f32 (log.f32 x)) (sqrt.f32 (cbrt.f32 (log.f32 x))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2)) (sqrt.f32 (cbrt.f32 (log.f32 x))))
(*.f32 (fabs.f32 (cbrt.f32 (log.f32 x))) (sqrt.f32 (cbrt.f32 (log.f32 x))))
(*.f32 (cbrt.f32 (log.f32 x)) (sqrt.f32 (cbrt.f32 (log.f32 x))))
(/.f32 (log.f32 x) (sqrt.f32 (log.f32 x)))
(/.f32 (pow.f32 (log.f32 x) 3/2) (+.f32 (log.f32 x) (-.f32 0 (*.f32 (sqrt.f32 (log.f32 x)) 0))))
(/.f32 (pow.f32 (log.f32 x) 3/2) (log.f32 x))
(pow.f32 (log.f32 x) 1/2)
(sqrt.f32 (log.f32 x))
(pow.f32 (sqrt.f32 (log.f32 x)) 1)
(sqrt.f32 (log.f32 x))
(pow.f32 (cbrt.f32 (sqrt.f32 (log.f32 x))) 3)
(sqrt.f32 (log.f32 x))
(pow.f32 (pow.f32 (log.f32 x) 3/2) 1/3)
(cbrt.f32 (pow.f32 (log.f32 x) 3/2))
(pow.f32 (pow.f32 (log.f32 x) 1/4) 2)
(sqrt.f32 (log.f32 x))
(fabs.f32 (sqrt.f32 (log.f32 x)))
(sqrt.f32 (log.f32 x))
(log.f32 (exp.f32 (sqrt.f32 (log.f32 x))))
(sqrt.f32 (log.f32 x))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log.f32 x)))))
(sqrt.f32 (log.f32 x))
(cbrt.f32 (pow.f32 (log.f32 x) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log.f32 x))))
(sqrt.f32 (log.f32 x))
(log1p.f32 (expm1.f32 (sqrt.f32 (log.f32 x))))
(sqrt.f32 (log.f32 x))
(exp.f32 (log.f32 (sqrt.f32 (log.f32 x))))
(sqrt.f32 (log.f32 x))
(exp.f32 (*.f32 (log.f32 (log.f32 x)) 1/2))
(sqrt.f32 (log.f32 x))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 x))) 1))
(sqrt.f32 (log.f32 x))
(fma.f32 1 (sqrt.f32 (log.f32 x)) 0)
(sqrt.f32 (log.f32 x))
(fma.f32 (sqrt.f32 (log.f32 x)) 1 0)
(sqrt.f32 (log.f32 x))
(fma.f32 (cbrt.f32 (sqrt.f32 (log.f32 x))) (cbrt.f32 (log.f32 x)) 0)
(*.f32 (cbrt.f32 (log.f32 x)) (cbrt.f32 (sqrt.f32 (log.f32 x))))
(fma.f32 (cbrt.f32 (log.f32 x)) (cbrt.f32 (sqrt.f32 (log.f32 x))) 0)
(*.f32 (cbrt.f32 (log.f32 x)) (cbrt.f32 (sqrt.f32 (log.f32 x))))
(fma.f32 (pow.f32 (log.f32 x) 1/4) (pow.f32 (log.f32 x) 1/4) 0)
(sqrt.f32 (log.f32 x))
(fma.f32 (pow.f32 1 1/2) (sqrt.f32 (log.f32 x)) 0)
(sqrt.f32 (log.f32 x))
(fma.f32 (pow.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) 1/2) (pow.f32 (cbrt.f32 (log.f32 x)) 1/2) 0)
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2)) (sqrt.f32 (cbrt.f32 (log.f32 x))))
(*.f32 (fabs.f32 (cbrt.f32 (log.f32 x))) (sqrt.f32 (cbrt.f32 (log.f32 x))))
(*.f32 (cbrt.f32 (log.f32 x)) (sqrt.f32 (cbrt.f32 (log.f32 x))))
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2)) (sqrt.f32 (cbrt.f32 (log.f32 x))) 0)
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2)) (sqrt.f32 (cbrt.f32 (log.f32 x))))
(*.f32 (fabs.f32 (cbrt.f32 (log.f32 x))) (sqrt.f32 (cbrt.f32 (log.f32 x))))
(*.f32 (cbrt.f32 (log.f32 x)) (sqrt.f32 (cbrt.f32 (log.f32 x))))

eval185.0ms (3.1%)

Compiler

Compiled 2387 to 1537 computations (35.6% saved)

prune48.0ms (0.8%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New1972199
Fresh000
Picked224
Done055
Total1999208
Accuracy
100.0%
Counts
208 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.2%
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
97.9%
(+.f32 (log.f32 2) (log.f32 x))
55.7%
(log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))
97.6%
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
55.8%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
96.9%
(log.f32 (+.f32 x x))
44.3%
(log.f32 x)
21.1%
(log.f32 3)
3.1%
-1
Compiler

Compiled 59 to 42 computations (28.8% saved)

localize49.0ms (0.8%)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.1%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done077
Total099
Accuracy
100.0%
Counts
9 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.2%
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
97.9%
(+.f32 (log.f32 2) (log.f32 x))
55.7%
(log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))
97.6%
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
55.8%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
96.9%
(log.f32 (+.f32 x x))
44.3%
(log.f32 x)
21.1%
(log.f32 3)
3.1%
-1
Compiler

Compiled 130 to 89 computations (31.5% saved)

regimes20.0ms (0.3%)

Counts
12 → 1
Calls
Call 1
Inputs
-1
(log.f32 3)
(log.f32 x)
(log.f32 (+.f32 x x))
(log1p.f32 (+.f32 x (/.f32 -2 -1)))
(log1p.f32 (-.f32 (*.f32 2 x) 1))
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -1)) 1)))
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) (log.f32 2))
Outputs
(+.f32 (log.f32 2) (log.f32 x))
Calls

3 calls:

7.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
7.0ms
x
6.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
Results
AccuracySegmentsBranch
97.9%1x
97.9%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
97.9%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
-1
(log.f32 3)
(log.f32 x)
(log.f32 (+.f32 x x))
(log1p.f32 (+.f32 x (/.f32 -2 -1)))
(log1p.f32 (-.f32 (*.f32 2 x) 1))
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
Outputs
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
97.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
-1
(log.f32 3)
(log.f32 x)
(log.f32 (+.f32 x x))
(log1p.f32 (+.f32 x (/.f32 -2 -1)))
(log1p.f32 (-.f32 (*.f32 2 x) 1))
Outputs
(log.f32 (+.f32 x x))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
96.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
-1
(log.f32 3)
(log.f32 x)
Outputs
(log.f32 x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
44.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
-1
(log.f32 3)
Outputs
(log.f32 3)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
21.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
3.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify76.0ms (1.3%)

Algorithm
egg-herbie
Rules
21×unsub-neg
20×add0
18×cancel-sign-sub-inv
14×+-commutative
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02081
13681
25781
37281
48281
510481
613281
713981
814181
914481
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x x))
(log.f32 x)
(log.f32 3)
-1
Outputs
(+.f32 (log.f32 2) (log.f32 x))
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(log.f32 (+.f32 x x))
(log.f32 x)
(log.f32 3)
-1
Compiler

Compiled 28 to 21 computations (25% saved)

soundness1.8s (30.2%)

Rules
1206×log1p-expm1-u
933×add0
933×add0
933×add0
743×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082230247
1262529007
0783512
13127512
018173
1222173
22351173
082230247
1262529007
025217
1385196
26052196
0783512
13127512
02363456
16663332
221503312
082230247
1262529007
Stop Event
node limit
node limit
unsound
node limit
node limit
node limit
unsound
node limit
Compiler

Compiled 310 to 224 computations (27.7% saved)

end0.0ms (0%)

preprocess44.0ms (0.7%)

Compiler

Compiled 92 to 64 computations (30.4% saved)

Profiling

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