Rust f32::acosh

Time bar (total: 5.4s)

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)

sample1.0s (18.7%)

Results
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Bogosity

preprocess446.0ms (8.3%)

Algorithm
egg-herbie
Rules
567×fma-def
514×sub-neg
493×unsub-neg
416×distribute-neg-in
388×distribute-rgt-out
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1370-0-(sqrt.f32 (-.f32 (*.f32 x x) 1))
10-0-(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
13468
24268
36068
410368
518968
651568
7122868
8302868
9441368
10553468
11598768
12619068
13626468
14634368
15704668
16786968
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
49.9%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize83.0ms (1.5%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(-.f32 (*.f32 x x) 1)
99.9%
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
99.6%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
53.9%
(sqrt.f32 (-.f32 (*.f32 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
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))
0.0ms
x
@inf
(sqrt.f32 (-.f32 (*.f32 x x) 1))

rewrite233.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
693×log1p-expm1-u
693×expm1-log1p-u
504×unpow-prod-down
461×fma-def
311×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01294
115594
2205794
Stop Event
node limit
Counts
4 → 288
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)
Outputs
(+.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 (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 (pow.f32 (fma.f32 x x -1) 1/6) (cbrt.f32 (fma.f32 x x -1)))
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (pow.f32 (fma.f32 x x -1) 1/6))
(*.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 (+.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 (hypot.f32 1 (sqrt.f32 x)) (sqrt.f32 (+.f32 x -1)))
(*.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 (pow.f32 (fma.f32 x x -1) 1/6)) 2))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x -1))) 3) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 1/6)) 3))
(*.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 (pow.f32 (fma.f32 x x -1) 1/6)) 3) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x -1) 1/6)) 3))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 1/2) (pow.f32 (pow.f32 (fma.f32 x x -1) 3/4) 1/2))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x -1) 3/4) 1/2) (pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 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 (pow.f32 (fma.f32 x x -1) 5/6) 1/2) (pow.f32 (pow.f32 (fma.f32 x x -1) 1/6) 1/2))
(*.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 (hypot.f32 1 (sqrt.f32 x)) 1) (pow.f32 (sqrt.f32 (+.f32 x -1)) 1))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 1/6)) (cbrt.f32 (pow.f32 (fma.f32 x x -1) 1/6))) 3) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 1/6)) 3))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/3) (pow.f32 (pow.f32 (fma.f32 x x -1) 5/6) 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 (fma.f32 x x -1) 3/4) 1/3) (pow.f32 (pow.f32 (fma.f32 x x -1) 3/4) 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 (cbrt.f32 (fma.f32 x x -1)) 4) 1/3) (pow.f32 (pow.f32 (fma.f32 x x -1) 1/6) 1/3))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x -1) 5/4) 1/3) (pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 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 (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 (pow.f32 (fma.f32 x x -1) 1/6) 3)
(pow.f32 (cbrt.f32 (fma.f32 x x -1)) 3/2)
(pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 1/3)
(pow.f32 (pow.f32 (fma.f32 x x -1) 2) 1/4)
(pow.f32 (pow.f32 (fma.f32 x x -1) 3) 1/6)
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2)
(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))))
(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 (*.f32 (log.f32 (fma.f32 x x -1)) 1) 1/2))
(exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1/2) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 1) 1))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 1/6)) 3))
(exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 3) 1/3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 3/2)) 1/3))
(exp.f32 (*.f32 (*.f32 1/4 (log.f32 (fma.f32 x x -1))) 2))
(log1p.f32 (expm1.f32 (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 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 (fma.f32 x x -1) 3/2) (pow.f32 x 3))) (log.f32 (/.f32 1 (-.f32 (fma.f32 x x (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 0 (log.f32 (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x -1)) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))) (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3)))))
(-.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 (fma.f32 x x -1) 3/2) (pow.f32 x 3))) (log.f32 (-.f32 (fma.f32 x x (fma.f32 x x -1)) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3))) (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 (log.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3)))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x (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 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 (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))))))
(*.f32 (pow.f32 1 1/3) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) 3) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 3))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 3) (pow.f32 (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 3))
(*.f32 (pow.f32 (*.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))))))) 3) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 3))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 3))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3/2) 1/3) (pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3/2) 1/3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3)) 1/3))
(*.f32 (pow.f32 (pow.f32 (*.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)))))) 2) 1/3) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/3))
(*.f32 (pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 5/2) 1/3) (pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/3))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)) 2) (pow.f32 (sqrt.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2))
(*.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2) (pow.f32 (sqrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 2))
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) 1/2)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)
(neg.f32 (log.f32 (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x -1)) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))) (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3)))))
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(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) 3) (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x -1))) 3))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 3) (pow.f32 (cbrt.f32 (+.f32 x -1)) 3))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x -1))) (cbrt.f32 (cbrt.f32 (fma.f32 x x -1)))) 3) (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x -1))) 3))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) 3))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 4) 1/2) (cbrt.f32 (fma.f32 x x -1)))
(*.f32 (pow.f32 (pow.f32 (+.f32 x 1) 2) 1/2) (pow.f32 (pow.f32 (+.f32 x -1) 2) 1/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 5) 1/2) (pow.f32 (fma.f32 x x -1) 1/6))
(*.f32 (pow.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) 1/2) (pow.f32 (+.f32 x -1) 1/2))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x -1) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x -1) 3)) 1/3))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x -1) 5/2) 1/3) (pow.f32 (fma.f32 x x -1) 1/6))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 4) 2) 1/3) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/3))
(*.f32 (pow.f32 (*.f32 (pow.f32 (fma.f32 x x -1) 2) (+.f32 x 1)) 1/3) (pow.f32 (+.f32 x -1) 1/3))
(/.f32 1 (/.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (pow.f32 x 6) -1)))
(/.f32 1 (/.f32 (fma.f32 x x 1) (+.f32 (pow.f32 x 4) -1)))
(/.f32 (+.f32 (pow.f32 x 6) -1) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(/.f32 (+.f32 (pow.f32 x 6) -1) (+.f32 (pow.f32 x 4) (-.f32 1 (*.f32 (pow.f32 x 2) -1))))
(/.f32 (+.f32 (pow.f32 x 4) -1) (fma.f32 x x 1))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 6) -1)) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 4) -1)) (neg.f32 (fma.f32 x x 1)))
(pow.f32 (fma.f32 x x -1) 1)
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 2)
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/6) 6)
(pow.f32 (cbrt.f32 (fma.f32 x x -1)) 3)
(pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 2/3)
(pow.f32 (pow.f32 (fma.f32 x x -1) 2) 1/2)
(pow.f32 (pow.f32 (fma.f32 x x -1) 3) 1/3)
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 4)
(pow.f32 (/.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (pow.f32 x 6) -1)) -1)
(pow.f32 (/.f32 (fma.f32 x x 1) (+.f32 (pow.f32 x 4) -1)) -1)
(sqrt.f32 (pow.f32 (fma.f32 x x -1) 2))
(log.f32 (exp.f32 (fma.f32 x x -1)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 x x -1))))
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3))
(expm1.f32 (*.f32 2 (log.f32 x)))
(exp.f32 (log.f32 (fma.f32 x x -1)))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1) 1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1/2) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 1) 2))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 x x -1))) 3))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (fma.f32 x x -1))) 1/2))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 3)) 1/3))
(log1p.f32 (expm1.f32 (fma.f32 x x -1)))
(fma.f32 x x -1)
(fma.f32 (pow.f32 x 2) 1 -1)
(fma.f32 1 (pow.f32 x 2) -1)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 4) -1)
(fma.f32 (pow.f32 (cbrt.f32 x) 4) (pow.f32 (cbrt.f32 x) 2) -1)
(fma.f32 (pow.f32 (cbrt.f32 x) 4) (*.f32 (pow.f32 (cbrt.f32 x) 2) 1) -1)
(fma.f32 (sqrt.f32 x) (pow.f32 x 3/2) -1)
(fma.f32 (pow.f32 (cbrt.f32 x) 5) (cbrt.f32 x) -1)
(fma.f32 (pow.f32 x 3/2) (sqrt.f32 x) -1)

simplify190.0ms (3.6%)

Algorithm
egg-herbie
Rules
628×log-prod
588×fma-neg
470×associate-*r*
449×associate-*l*
345×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074914015
1182413538
2662113536
Stop Event
node limit
Counts
336 → 460
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)
(+.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 (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 (pow.f32 (fma.f32 x x -1) 1/6) (cbrt.f32 (fma.f32 x x -1)))
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (pow.f32 (fma.f32 x x -1) 1/6))
(*.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 (+.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 (hypot.f32 1 (sqrt.f32 x)) (sqrt.f32 (+.f32 x -1)))
(*.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 (pow.f32 (fma.f32 x x -1) 1/6)) 2))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x -1))) 3) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 1/6)) 3))
(*.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 (pow.f32 (fma.f32 x x -1) 1/6)) 3) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x -1) 1/6)) 3))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 1/2) (pow.f32 (pow.f32 (fma.f32 x x -1) 3/4) 1/2))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x -1) 3/4) 1/2) (pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 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 (pow.f32 (fma.f32 x x -1) 5/6) 1/2) (pow.f32 (pow.f32 (fma.f32 x x -1) 1/6) 1/2))
(*.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 (hypot.f32 1 (sqrt.f32 x)) 1) (pow.f32 (sqrt.f32 (+.f32 x -1)) 1))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 1/6)) (cbrt.f32 (pow.f32 (fma.f32 x x -1) 1/6))) 3) (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 x x -1) 1/6)) 3))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/3) (pow.f32 (pow.f32 (fma.f32 x x -1) 5/6) 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 (fma.f32 x x -1) 3/4) 1/3) (pow.f32 (pow.f32 (fma.f32 x x -1) 3/4) 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 (cbrt.f32 (fma.f32 x x -1)) 4) 1/3) (pow.f32 (pow.f32 (fma.f32 x x -1) 1/6) 1/3))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x -1) 5/4) 1/3) (pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 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 (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 (pow.f32 (fma.f32 x x -1) 1/6) 3)
(pow.f32 (cbrt.f32 (fma.f32 x x -1)) 3/2)
(pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 1/3)
(pow.f32 (pow.f32 (fma.f32 x x -1) 2) 1/4)
(pow.f32 (pow.f32 (fma.f32 x x -1) 3) 1/6)
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2)
(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))))
(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 (*.f32 (log.f32 (fma.f32 x x -1)) 1) 1/2))
(exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1/2) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 1) 1))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 1/6)) 3))
(exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 3) 1/3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 3/2)) 1/3))
(exp.f32 (*.f32 (*.f32 1/4 (log.f32 (fma.f32 x x -1))) 2))
(log1p.f32 (expm1.f32 (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 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 (fma.f32 x x -1) 3/2) (pow.f32 x 3))) (log.f32 (/.f32 1 (-.f32 (fma.f32 x x (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 0 (log.f32 (/.f32 (-.f32 (fma.f32 x x (fma.f32 x x -1)) (*.f32 x (sqrt.f32 (fma.f32 x x -1)))) (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3)))))
(-.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 (fma.f32 x x -1) 3/2) (pow.f32 x 3))) (log.f32 (-.f32 (fma.f32 x x (fma.f32 x x -1)) (*.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3))) (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)))))
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(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)))))
(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))))))
(log1p.f32 (expm1.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(fma.f32 x 1 (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 (sqrt.f32 (fma.f32 x x -1)) 1 x)
(fma.f32 (pow.f32 (fma.f32 x x -1) 1/6) (cbrt.f32 (fma.f32 x x -1)) x)
(fma.f32 (cbrt.f32 (fma.f32 x x -1)) (pow.f32 (fma.f32 x x -1) 1/6) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (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 x) (sqrt.f32 x) (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (pow.f32 (+.f32 x 1) 1/2) (pow.f32 (+.f32 x -1) 1/2) x)
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) x)
(fma.f32 (hypot.f32 1 (sqrt.f32 x)) (sqrt.f32 (+.f32 x -1)) x)
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 x) 4)) (sqrt.f32 (pow.f32 (cbrt.f32 x) 2)) (sqrt.f32 (fma.f32 x x -1)))
(+.f32 (pow.f32 x 2) -1)
(+.f32 (pow.f32 x 2) (log.f32 (exp.f32 -1)))
(+.f32 -1 (pow.f32 x 2))
(+.f32 0 (fma.f32 x x -1))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (fma.f32 x x -1))) (cbrt.f32 (exp.f32 (fma.f32 x x -1))))) (log.f32 (cbrt.f32 (exp.f32 (fma.f32 x x -1)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (fma.f32 x x -1)))) (log.f32 (sqrt.f32 (exp.f32 (fma.f32 x x -1)))))
(*.f32 1 (fma.f32 x x -1))
(*.f32 (fma.f32 x x -1) 1)
(*.f32 (fma.f32 x x -1) (log.f32 (exp.f32 1)))
(*.f32 (sqrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1)))
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2))
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 4) 1/2))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) (cbrt.f32 (fma.f32 x x -1)))
(*.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 3/4))
(*.f32 (+.f32 (pow.f32 x 6) -1) (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(*.f32 (+.f32 (pow.f32 x 6) -1) (pow.f32 (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) 1))
(*.f32 (+.f32 (pow.f32 x 4) -1) (/.f32 1 (fma.f32 x x 1)))
(*.f32 (+.f32 (pow.f32 x 4) -1) (pow.f32 (/.f32 1 (fma.f32 x x 1)) 1))
(*.f32 (+.f32 x 1) (+.f32 x -1))
(*.f32 (+.f32 x -1) (+.f32 x 1))
(*.f32 (pow.f32 (+.f32 x 1) 1/2) (pow.f32 (*.f32 (+.f32 x -1) (fma.f32 x x -1)) 1/2))
(*.f32 (pow.f32 (fma.f32 x x -1) 3/4) (pow.f32 (fma.f32 x x -1) 1/4))
(*.f32 (pow.f32 (fma.f32 x x -1) 5/6) (pow.f32 (fma.f32 x x -1) 1/6))
(*.f32 (pow.f32 1 1/3) (fma.f32 x x -1))
(*.f32 (pow.f32 (pow.f32 (+.f32 x 1) 1/2) 2) (pow.f32 (pow.f32 (+.f32 x -1) 1/2) 2))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) 2) (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) 2))
(*.f32 (pow.f32 (hypot.f32 1 (sqrt.f32 x)) 2) (pow.f32 (sqrt.f32 (+.f32 x -1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) 3) (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x -1))) 3))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 3) (pow.f32 (cbrt.f32 (+.f32 x -1)) 3))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x -1))) (cbrt.f32 (cbrt.f32 (fma.f32 x x -1)))) 3) (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x -1))) 3))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) 3))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 4) 1/2) (cbrt.f32 (fma.f32 x x -1)))
(*.f32 (pow.f32 (pow.f32 (+.f32 x 1) 2) 1/2) (pow.f32 (pow.f32 (+.f32 x -1) 2) 1/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 5) 1/2) (pow.f32 (fma.f32 x x -1) 1/6))
(*.f32 (pow.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) 1/2) (pow.f32 (+.f32 x -1) 1/2))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x -1) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x -1) 3)) 1/3))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x -1) 5/2) 1/3) (pow.f32 (fma.f32 x x -1) 1/6))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 4) 2) 1/3) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/3))
(*.f32 (pow.f32 (*.f32 (pow.f32 (fma.f32 x x -1) 2) (+.f32 x 1)) 1/3) (pow.f32 (+.f32 x -1) 1/3))
(/.f32 1 (/.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (pow.f32 x 6) -1)))
(/.f32 1 (/.f32 (fma.f32 x x 1) (+.f32 (pow.f32 x 4) -1)))
(/.f32 (+.f32 (pow.f32 x 6) -1) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(/.f32 (+.f32 (pow.f32 x 6) -1) (+.f32 (pow.f32 x 4) (-.f32 1 (*.f32 (pow.f32 x 2) -1))))
(/.f32 (+.f32 (pow.f32 x 4) -1) (fma.f32 x x 1))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 6) -1)) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 4) -1)) (neg.f32 (fma.f32 x x 1)))
(pow.f32 (fma.f32 x x -1) 1)
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 2)
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/6) 6)
(pow.f32 (cbrt.f32 (fma.f32 x x -1)) 3)
(pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 2/3)
(pow.f32 (pow.f32 (fma.f32 x x -1) 2) 1/2)
(pow.f32 (pow.f32 (fma.f32 x x -1) 3) 1/3)
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 4)
(pow.f32 (/.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (pow.f32 x 6) -1)) -1)
(pow.f32 (/.f32 (fma.f32 x x 1) (+.f32 (pow.f32 x 4) -1)) -1)
(sqrt.f32 (pow.f32 (fma.f32 x x -1) 2))
(log.f32 (exp.f32 (fma.f32 x x -1)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 x x -1))))
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3))
(expm1.f32 (*.f32 2 (log.f32 x)))
(exp.f32 (log.f32 (fma.f32 x x -1)))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1))
(exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1) 1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1/2) 2))
(exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 1) 2))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 x x -1))) 3))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (fma.f32 x x -1))) 1/2))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 3)) 1/3))
(log1p.f32 (expm1.f32 (fma.f32 x x -1)))
(fma.f32 x x -1)
(fma.f32 (pow.f32 x 2) 1 -1)
(fma.f32 1 (pow.f32 x 2) -1)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 4) -1)
(fma.f32 (pow.f32 (cbrt.f32 x) 4) (pow.f32 (cbrt.f32 x) 2) -1)
(fma.f32 (pow.f32 (cbrt.f32 x) 4) (*.f32 (pow.f32 (cbrt.f32 x) 2) 1) -1)
(fma.f32 (sqrt.f32 x) (pow.f32 x 3/2) -1)
(fma.f32 (pow.f32 (cbrt.f32 x) 5) (cbrt.f32 x) -1)
(fma.f32 (pow.f32 x 3/2) (sqrt.f32 x) -1)
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 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)) (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 (*.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1))) (fma.f32 1/16 (/.f32 (pow.f32 x 6) (pow.f32 (sqrt.f32 -1) 5)) (/.f32 (*.f32 1/2 (pow.f32 x 2)) (sqrt.f32 -1)))))
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 1/8 (pow.f32 x 3))) (/.f32 -1/2 x)) (/.f32 1/16 (pow.f32 x 5)))
(*.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 (log.f32 (sqrt.f32 -1)) (*.f32 1/6 (/.f32 (pow.f32 x 3) (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 (fma.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)) (*.f32 1/6 (/.f32 (pow.f32 x 3) (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 (+.f32 (log.f32 2) (-.f32 (log.f32 x) (/.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 (-.f32 (+.f32 (log.f32 2) (-.f32 (log.f32 x) (/.f32 1/4 (pow.f32 x 2)))) (/.f32 3/32 (pow.f32 x 4))) (/.f32 5/96 (pow.f32 x 6)))
(+.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 (fma.f32 1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)) (*.f32 1/8 (/.f32 (pow.f32 x 4) (sqrt.f32 -1)))) x))
(*.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))
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(*.f32 (cbrt.f32 (fma.f32 x x -1)) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2))
(fma.f32 x x -1)
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 4) 1/2))
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 4)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) (cbrt.f32 (fma.f32 x x -1)))
(fma.f32 x x -1)
(*.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 3/4))
(*.f32 (+.f32 (pow.f32 x 6) -1) (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(*.f32 (+.f32 -1 (pow.f32 x 6)) (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (+.f32 -1 (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(*.f32 (+.f32 (pow.f32 x 6) -1) (pow.f32 (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))) 1))
(*.f32 (+.f32 -1 (pow.f32 x 6)) (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (+.f32 -1 (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(*.f32 (+.f32 (pow.f32 x 4) -1) (/.f32 1 (fma.f32 x x 1)))
(*.f32 (+.f32 -1 (pow.f32 x 4)) (/.f32 1 (fma.f32 x x 1)))
(/.f32 (+.f32 -1 (pow.f32 x 4)) (fma.f32 x x 1))
(*.f32 (+.f32 (pow.f32 x 4) -1) (pow.f32 (/.f32 1 (fma.f32 x x 1)) 1))
(*.f32 (+.f32 -1 (pow.f32 x 4)) (/.f32 1 (fma.f32 x x 1)))
(/.f32 (+.f32 -1 (pow.f32 x 4)) (fma.f32 x x 1))
(*.f32 (+.f32 x 1) (+.f32 x -1))
(*.f32 (+.f32 x 1) (+.f32 -1 x))
(*.f32 (+.f32 x -1) (+.f32 x 1))
(*.f32 (+.f32 x 1) (+.f32 -1 x))
(*.f32 (pow.f32 (+.f32 x 1) 1/2) (pow.f32 (*.f32 (+.f32 x -1) (fma.f32 x x -1)) 1/2))
(*.f32 (sqrt.f32 (+.f32 x 1)) (sqrt.f32 (*.f32 (fma.f32 x x -1) (+.f32 -1 x))))
(*.f32 (pow.f32 (fma.f32 x x -1) 3/4) (pow.f32 (fma.f32 x x -1) 1/4))
(*.f32 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 3/4))
(*.f32 (pow.f32 (fma.f32 x x -1) 5/6) (pow.f32 (fma.f32 x x -1) 1/6))
(*.f32 (pow.f32 (fma.f32 x x -1) 1/6) (pow.f32 (fma.f32 x x -1) 5/6))
(*.f32 (pow.f32 1 1/3) (fma.f32 x x -1))
(fma.f32 x x -1)
(*.f32 (pow.f32 (pow.f32 (+.f32 x 1) 1/2) 2) (pow.f32 (pow.f32 (+.f32 x -1) 1/2) 2))
(*.f32 (+.f32 x 1) (+.f32 -1 x))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) 2) (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) 2))
(fma.f32 x x -1)
(*.f32 (pow.f32 (hypot.f32 1 (sqrt.f32 x)) 2) (pow.f32 (sqrt.f32 (+.f32 x -1)) 2))
(*.f32 (+.f32 x 1) (+.f32 -1 x))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) 3) (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x -1))) 3))
(fma.f32 x x -1)
(*.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 3) (pow.f32 (cbrt.f32 (+.f32 x -1)) 3))
(*.f32 (+.f32 x 1) (+.f32 -1 x))
(*.f32 (pow.f32 (*.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x -1))) (cbrt.f32 (cbrt.f32 (fma.f32 x x -1)))) 3) (pow.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x -1))) 3))
(fma.f32 x x -1)
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) 3))
(fma.f32 x x -1)
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 4) 1/2) (cbrt.f32 (fma.f32 x x -1)))
(*.f32 (cbrt.f32 (fma.f32 x x -1)) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 4)))
(*.f32 (pow.f32 (pow.f32 (+.f32 x 1) 2) 1/2) (pow.f32 (pow.f32 (+.f32 x -1) 2) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (+.f32 x 1) 2)) (sqrt.f32 (pow.f32 (+.f32 -1 x) 2)))
(*.f32 (fabs.f32 (+.f32 x 1)) (fabs.f32 (+.f32 -1 x)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 5) 1/2) (pow.f32 (fma.f32 x x -1) 1/6))
(*.f32 (pow.f32 (fma.f32 x x -1) 1/6) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 5)))
(*.f32 (pow.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1)) 1/2) (pow.f32 (+.f32 x -1) 1/2))
(*.f32 (sqrt.f32 (+.f32 -1 x)) (sqrt.f32 (*.f32 (fma.f32 x x -1) (+.f32 x 1))))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x -1) 3)) 1/3) (pow.f32 (sqrt.f32 (pow.f32 (fma.f32 x x -1) 3)) 1/3))
(*.f32 (cbrt.f32 (sqrt.f32 (pow.f32 (fma.f32 x x -1) 3))) (cbrt.f32 (sqrt.f32 (pow.f32 (fma.f32 x x -1) 3))))
(*.f32 (pow.f32 (pow.f32 (fma.f32 x x -1) 5/2) 1/3) (pow.f32 (fma.f32 x x -1) 1/6))
(*.f32 (pow.f32 (fma.f32 x x -1) 1/6) (cbrt.f32 (pow.f32 (fma.f32 x x -1) 5/2)))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 4) 2) 1/3) (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 1/3))
(*.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x -1))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (fma.f32 x x -1))) (cbrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 8)))
(*.f32 (pow.f32 (*.f32 (pow.f32 (fma.f32 x x -1) 2) (+.f32 x 1)) 1/3) (pow.f32 (+.f32 x -1) 1/3))
(*.f32 (cbrt.f32 (+.f32 -1 x)) (cbrt.f32 (*.f32 (+.f32 x 1) (pow.f32 (fma.f32 x x -1) 2))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (pow.f32 x 6) -1)))
(*.f32 (+.f32 -1 (pow.f32 x 6)) (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (+.f32 -1 (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(/.f32 1 (/.f32 (fma.f32 x x 1) (+.f32 (pow.f32 x 4) -1)))
(*.f32 (+.f32 -1 (pow.f32 x 4)) (/.f32 1 (fma.f32 x x 1)))
(/.f32 (+.f32 -1 (pow.f32 x 4)) (fma.f32 x x 1))
(/.f32 (+.f32 (pow.f32 x 6) -1) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(*.f32 (+.f32 -1 (pow.f32 x 6)) (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (+.f32 -1 (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(/.f32 (+.f32 (pow.f32 x 6) -1) (+.f32 (pow.f32 x 4) (-.f32 1 (*.f32 (pow.f32 x 2) -1))))
(*.f32 (+.f32 -1 (pow.f32 x 6)) (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (+.f32 -1 (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(/.f32 (+.f32 (pow.f32 x 4) -1) (fma.f32 x x 1))
(*.f32 (+.f32 -1 (pow.f32 x 4)) (/.f32 1 (fma.f32 x x 1)))
(/.f32 (+.f32 -1 (pow.f32 x 4)) (fma.f32 x x 1))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 6) -1)) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (+.f32 (neg.f32 (pow.f32 x 6)) 1) (neg.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (-.f32 1 (pow.f32 x 6)) (-.f32 (neg.f32 (fma.f32 x x 1)) (pow.f32 x 4)))
(/.f32 (-.f32 1 (pow.f32 x 6)) (-.f32 (fma.f32 -1 (pow.f32 x 2) -1) (pow.f32 x 4)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 4) -1)) (neg.f32 (fma.f32 x x 1)))
(/.f32 (+.f32 (neg.f32 (pow.f32 x 4)) 1) (neg.f32 (fma.f32 x x 1)))
(/.f32 (-.f32 1 (pow.f32 x 4)) (neg.f32 (fma.f32 x x 1)))
(/.f32 (-.f32 1 (pow.f32 x 4)) (fma.f32 -1 (pow.f32 x 2) -1))
(pow.f32 (fma.f32 x x -1) 1)
(fma.f32 x x -1)
(pow.f32 (sqrt.f32 (fma.f32 x x -1)) 2)
(fma.f32 x x -1)
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/6) 6)
(fma.f32 x x -1)
(pow.f32 (cbrt.f32 (fma.f32 x x -1)) 3)
(fma.f32 x x -1)
(pow.f32 (pow.f32 (fma.f32 x x -1) 3/2) 2/3)
(fma.f32 x x -1)
(pow.f32 (pow.f32 (fma.f32 x x -1) 2) 1/2)
(fma.f32 x x -1)
(pow.f32 (pow.f32 (fma.f32 x x -1) 3) 1/3)
(fma.f32 x x -1)
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 4)
(fma.f32 x x -1)
(pow.f32 (/.f32 (+.f32 (pow.f32 x 4) (fma.f32 x x 1)) (+.f32 (pow.f32 x 6) -1)) -1)
(*.f32 (+.f32 -1 (pow.f32 x 6)) (/.f32 1 (+.f32 (pow.f32 x 4) (fma.f32 x x 1))))
(/.f32 (+.f32 -1 (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (fma.f32 x x 1)))
(pow.f32 (/.f32 (fma.f32 x x 1) (+.f32 (pow.f32 x 4) -1)) -1)
(*.f32 (+.f32 -1 (pow.f32 x 4)) (/.f32 1 (fma.f32 x x 1)))
(/.f32 (+.f32 -1 (pow.f32 x 4)) (fma.f32 x x 1))
(sqrt.f32 (pow.f32 (fma.f32 x x -1) 2))
(fma.f32 x x -1)
(log.f32 (exp.f32 (fma.f32 x x -1)))
(fma.f32 x x -1)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 x x -1))))
(fma.f32 x x -1)
(cbrt.f32 (pow.f32 (fma.f32 x x -1) 3))
(fma.f32 x x -1)
(expm1.f32 (*.f32 2 (log.f32 x)))
(exp.f32 (log.f32 (fma.f32 x x -1)))
(fma.f32 x x -1)
(exp.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1))
(fma.f32 x x -1)
(exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1) 1))
(fma.f32 x x -1)
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 2))
(fma.f32 x x -1)
(exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 x x -1)) 1/2) 2))
(fma.f32 x x -1)
(exp.f32 (*.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x -1))) 1) 2))
(fma.f32 x x -1)
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 x x -1))) 3))
(fma.f32 x x -1)
(exp.f32 (*.f32 (*.f32 2 (log.f32 (fma.f32 x x -1))) 1/2))
(fma.f32 x x -1)
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 x x -1) 3)) 1/3))
(fma.f32 x x -1)
(log1p.f32 (expm1.f32 (fma.f32 x x -1)))
(fma.f32 x x -1)
(fma.f32 x x -1)
(fma.f32 (pow.f32 x 2) 1 -1)
(fma.f32 x x -1)
(fma.f32 1 (pow.f32 x 2) -1)
(fma.f32 x x -1)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 4) -1)
(fma.f32 x x -1)
(fma.f32 (pow.f32 (cbrt.f32 x) 4) (pow.f32 (cbrt.f32 x) 2) -1)
(fma.f32 x x -1)
(fma.f32 (pow.f32 (cbrt.f32 x) 4) (*.f32 (pow.f32 (cbrt.f32 x) 2) 1) -1)
(fma.f32 x x -1)
(fma.f32 (sqrt.f32 x) (pow.f32 x 3/2) -1)
(fma.f32 (pow.f32 (cbrt.f32 x) 5) (cbrt.f32 x) -1)
(+.f32 -1 (pow.f32 (cbrt.f32 x) 6))
(fma.f32 (pow.f32 x 3/2) (sqrt.f32 x) -1)
(fma.f32 (sqrt.f32 x) (pow.f32 x 3/2) -1)

eval234.0ms (4.4%)

Compiler

Compiled 8050 to 5993 computations (25.6% saved)

prune88.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4564460
Fresh000
Picked011
Done000
Total4565461
Accuracy
100.0%
Counts
461 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)
97.2%
(+.f32 (log.f32 2) (log.f32 x))
98.9%
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
49.9%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
97.6%
(log.f32 (+.f32 x x))
Compiler

Compiled 42 to 30 computations (28.6% saved)

localize266.0ms (5%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.6%
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
99.5%
(sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
98.6%
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)
53.9%
(sqrt.f32 (fma.f32 x x -1))
99.2%
(+.f32 (log.f32 2) (log.f32 x))
100.0%
(/.f32 1/2 x)
99.9%
(+.f32 x (-.f32 x (/.f32 1/2 x)))
99.6%
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
99.6%
(log.f32 (+.f32 x x))
Compiler

Compiled 93 to 56 computations (39.8% saved)

series128.0ms (2.4%)

Counts
9 → 92
Calls

27 calls:

TimeVariablePointExpression
31.0ms
x
@-inf
(+.f32 (log.f32 2) (log.f32 x))
26.0ms
x
@0
(log.f32 (+.f32 x x))
23.0ms
x
@-inf
(log.f32 (+.f32 x x))
23.0ms
x
@0
(+.f32 (log.f32 2) (log.f32 x))
6.0ms
x
@inf
(log.f32 (+.f32 x x))

rewrite167.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1070×log1p-expm1-u
273×expm1-log1p-u
254×expm1-udef
253×log1p-udef
153×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025211
1368190
25151190
Stop Event
node limit
Counts
9 → 305
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 1/2 x)
(+.f32 (log.f32 2) (log.f32 x))
(sqrt.f32 (fma.f32 x x -1))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)
(sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
Outputs
(+.f32 (log.f32 (/.f32 0 0)) (log.f32 (/.f32 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 (fma.f32 x x 0)))
(-.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 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (/.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 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))))
(/.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 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (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 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))) (neg.f32 (log.f32 (/.f32 2 x))))
(/.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))))
(exp.f32 (log.f32 (log.f32 (/.f32 0 0))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 0 0))) 1))
(log1p.f32 (-.f32 (/.f32 0 0) 1))
(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 x)) 2) (cbrt.f32 (log.f32 x)) (log.f32 2))
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(*.f32 (*.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4)) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4))
(*.f32 (*.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)))))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(log.f32 (+.f32 1 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) 1)
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)
(*.f32 1 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 (cbrt.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))))))
(*.f32 (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)))))))
(*.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) 1/2) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/2))
(*.f32 (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 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/2)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3/2) 1/3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4) 2)
(fabs.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(exp.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 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 0 (log.f32 (-.f32 x (sqrt.f32 (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 (fma.f32 x x -1) 3/2) (pow.f32 x 3))) (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 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(*.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 1 (log.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))))) (*.f32 (cbrt.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 (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 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4) (*.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(*.f32 (*.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4)) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4))
(*.f32 (*.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 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) 1/2)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))

simplify89.0ms (1.7%)

Algorithm
egg-herbie
Rules
117×*-commutative
95×+-commutative
75×sqr-pow
60×sub-neg
41×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07226854
129416854
Stop Event
unsound
Counts
397 → 371
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 (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)))))
(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 (pow.f32 x 3) (-.f32 (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 2) (pow.f32 (sqrt.f32 -1) 3)))) (+.f32 (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 2) (pow.f32 (sqrt.f32 -1) 3)))) (*.f32 1/6 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)))))) (/.f32 x (sqrt.f32 -1))))
(+.f32 (log.f32 (sqrt.f32 -1)) (+.f32 (*.f32 (pow.f32 x 3) (-.f32 (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 2) (pow.f32 (sqrt.f32 -1) 3)))) (+.f32 (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 2) (pow.f32 (sqrt.f32 -1) 3)))) (*.f32 1/6 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)))))) (+.f32 (*.f32 (pow.f32 x 4) (+.f32 (*.f32 -1 (+.f32 (*.f32 1/2 (/.f32 (-.f32 (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 2) (pow.f32 (sqrt.f32 -1) 3)))) (*.f32 1/6 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)))) (*.f32 (log.f32 (sqrt.f32 -1)) (sqrt.f32 -1)))) (pow.f32 (*.f32 -1/8 (*.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (sqrt.f32 -1)) 3))) (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)))) 2))) (+.f32 (*.f32 1/64 (/.f32 1 (*.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 3) (pow.f32 (sqrt.f32 -1) 4)))) (*.f32 1/2 (/.f32 (-.f32 (*.f32 1/8 (/.f32 1 (*.f32 (pow.f32 (log.f32 (sqrt.f32 -1)) 2) (pow.f32 (sqrt.f32 -1) 3)))) (*.f32 1/6 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3)))) (*.f32 (log.f32 (sqrt.f32 -1)) (sqrt.f32 -1))))))) (/.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 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 -1 (/.f32 (+.f32 3/32 (pow.f32 (*.f32 -1/8 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))))) 2)) (pow.f32 x 4))) (*.f32 1/64 (/.f32 1 (*.f32 (pow.f32 x 4) (+.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 (*.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (*.f32 -1 (/.f32 (+.f32 5/96 (*.f32 1/8 (/.f32 (+.f32 3/32 (pow.f32 (*.f32 -1/8 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))))) 2)) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))))) (pow.f32 x 6))) (+.f32 (*.f32 -1 (/.f32 (+.f32 3/32 (pow.f32 (*.f32 -1/8 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))))) 2)) (pow.f32 x 4))) (+.f32 (*.f32 1/64 (/.f32 1 (*.f32 (pow.f32 x 4) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))))) (*.f32 1/8 (/.f32 (+.f32 3/32 (pow.f32 (*.f32 -1/8 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))))) 2)) (*.f32 (pow.f32 x 6) (+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x)))))))))))) (*.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 (log.f32 (sqrt.f32 -1)))
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(*.f32 (cbrt.f32 x) (+.f32 (pow.f32 (cbrt.f32 x) 2) (pow.f32 (cbrt.f32 x) 2)))
(*.f32 (pow.f32 (cbrt.f32 x) 2) (+.f32 (cbrt.f32 x) (cbrt.f32 x)))
(*.f32 (sqrt.f32 x) (+.f32 (sqrt.f32 x) (sqrt.f32 x)))
(*.f32 -1/2 (/.f32 1 (neg.f32 x)))
(*.f32 (*.f32 2 (pow.f32 x 3)) (/.f32 1 (fma.f32 x x 0)))
(*.f32 0 (/.f32 1 0))
(*.f32 (/.f32 1 x) 1/2)
(*.f32 4 (pow.f32 x 2))
(*.f32 1/8 (pow.f32 (/.f32 1 x) 3))
(*.f32 (cbrt.f32 2) (cbrt.f32 x))
(*.f32 (cbrt.f32 1/2) (cbrt.f32 (/.f32 1 x)))
(*.f32 (sqrt.f32 2) (sqrt.f32 x))
(*.f32 (sqrt.f32 1/2) (sqrt.f32 (/.f32 1 x)))
(*.f32 1/4 (*.f32 (/.f32 1 x) (/.f32 1 x)))
(*.f32 (pow.f32 (/.f32 0 0) 3/2) (pow.f32 (/.f32 0 0) 3/2))
(*.f32 (*.f32 (/.f32 0 0) 2) x)
(*.f32 (*.f32 (/.f32 0 0) 1/2) (/.f32 1 x))
(*.f32 (*.f32 2 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x))
(*.f32 (*.f32 2 (sqrt.f32 x)) (sqrt.f32 x))
(pow.f32 (/.f32 0 0) 1/2)
(pow.f32 (/.f32 0 0) 2)
(pow.f32 (/.f32 0 0) -1)
(pow.f32 (/.f32 0 0) 1)
(pow.f32 (/.f32 0 0) 3)
(pow.f32 (/.f32 0 0) 1/3)
(pow.f32 (exp.f32 1) (log.f32 (/.f32 0 0)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 0 0))) 2)) (cbrt.f32 (log.f32 (/.f32 0 0))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 0 0)))) (sqrt.f32 (log.f32 (/.f32 0 0))))
(sqrt.f32 (/.f32 0 0))
(fabs.f32 (/.f32 0 0))
(log.f32 (exp.f32 (/.f32 0 0)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 0 0))))
(cbrt.f32 (/.f32 0 0))
(expm1.f32 (log1p.f32 (/.f32 0 0)))
(hypot.f32 (sqrt.f32 x) (sqrt.f32 x))
(exp.f32 (log.f32 (/.f32 0 0)))
(exp.f32 (*.f32 (log.f32 (/.f32 0 0)) 3))
(log1p.f32 (expm1.f32 (/.f32 0 0)))
(fma.f32 1 x x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) 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 (fma.f32 x x 0)))
(-.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 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (/.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 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))))
(/.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 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2)) (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 (pow.f32 (log.f32 2) 2) (pow.f32 (log.f32 x) 2))) (neg.f32 (log.f32 (/.f32 2 x))))
(/.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))))
(exp.f32 (log.f32 (log.f32 (/.f32 0 0))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 0 0))) 1))
(log1p.f32 (-.f32 (/.f32 0 0) 1))
(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 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 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 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 x x -1)))) 1)
(*.f32 (sqrt.f32 (fma.f32 x x -1)) 1)
(*.f32 1 (sqrt.f32 (fma.f32 x x -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 (pow.f32 (fma.f32 x x -1) 1/4) (pow.f32 (fma.f32 x x -1) 1/4))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (fma.f32 x x -1)))
(*.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 (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))))
(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) 3/2) 1/3)
(pow.f32 (pow.f32 (fma.f32 x x -1) 1/4) 2)
(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))))
(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))
(log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 x x -1))))
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 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 0 (log.f32 (-.f32 x (sqrt.f32 (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 (fma.f32 x x -1) 3/2) (pow.f32 x 3))) (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 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(*.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 1 (log.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))))) (*.f32 (cbrt.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 (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 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4) (*.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(*.f32 (*.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4)) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4))
(*.f32 (*.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)))))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(log.f32 (+.f32 1 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))) 1)
(*.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)
(*.f32 1 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 (cbrt.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))))))
(*.f32 (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)))))))
(*.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2) 1/2) (pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/2))
(*.f32 (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 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/2)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3/2) 1/3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4) 2)
(fabs.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (exp.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(exp.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 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 0 (log.f32 (-.f32 x (sqrt.f32 (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 (fma.f32 x x -1) 3/2) (pow.f32 x 3))) (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 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(*.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 1 (log.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))))) (*.f32 (cbrt.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 (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 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4) (*.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(*.f32 (*.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4)) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4))
(*.f32 (*.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 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) 1/2)
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))
Outputs
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 x) -2)
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 x) -2)
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 x) -2)
(+.f32 (log.f32 2) (log.f32 x))
(+.f32 (log.f32 x) -2)
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
-2
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
-2
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
-2
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
-2
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
-2
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
-2
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 (/.f32 -1 x))))
-2
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(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(+.f32 0 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2)) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2)))) -2)) (log.f32 (cbrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))))
(+.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 -2 (log.f32 (sqrt.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))))
(-.f32 0 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(neg.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -2)))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1)
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (pow.f32 x 3))) (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 -2) (sqrt.f32 (fma.f32 x x -2)))) (log.f32 (fma.f32 x x (+.f32 (fma.f32 x x -2) (sqrt.f32 (fma.f32 x x -2))))))
(*.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -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))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(*.f32 1 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(*.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))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(*.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (*.f32 (cbrt.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)))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(*.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))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(*.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4) (*.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4) (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(*.f32 (*.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4)) (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1/4))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(*.f32 (*.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)))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(pow.f32 (cbrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2) 1/2)
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(pow.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(sqrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(cbrt.f32 (pow.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(expm1.f32 (log1p.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(exp.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(exp.f32 (*.f32 (log.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -2))))
(log1p.f32 (-.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))
(log1p.f32 (+.f32 x (-.f32 (sqrt.f32 (fma.f32 x x -2)) -2)))

eval222.0ms (4.1%)

Compiler

Compiled 5994 to 4930 computations (17.8% saved)

prune70.0ms (1.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New3665371
Fresh000
Picked134
Done011
Total3679376
Accuracy
100.0%
Counts
376 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.1%
(pow.f32 101/96 2)
9.1%
(-.f32 0 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
37.7%
(+.f32 (log.f32 x) -2)
97.2%
(+.f32 (log.f32 2) (log.f32 x))
98.9%
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
49.9%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
97.6%
(log.f32 (+.f32 x x))
44.0%
(log.f32 (+.f32 -2 (+.f32 x -2)))
23.8%
835/192
Compiler

Compiled 88 to 69 computations (21.6% saved)

localize274.0ms (5.1%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
53.9%
(sqrt.f32 (fma.f32 x x -1))
16.9%
(-.f32 x (sqrt.f32 (fma.f32 x x -1)))
99.7%
(+.f32 (log.f32 x) -2)
96.9%
(pow.f32 101/96 2)
Compiler

Compiled 69 to 47 computations (31.9% saved)

series3.0ms (0.1%)

Counts
4 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
1.0ms
x
@inf
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
0.0ms
x
@-inf
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
0.0ms
x
@0
(-.f32 x (sqrt.f32 (fma.f32 x x -1)))
0.0ms
x
@inf
(-.f32 x (sqrt.f32 (fma.f32 x x -1)))

rewrite124.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
802×log1p-expm1-u
802×expm1-log1p-u
554×prod-diff
363×log-prod
338×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01975
116975
2215175
Stop Event
node limit
Counts
4 → 183
Calls
Call 1
Inputs
(pow.f32 101/96 2)
(+.f32 (log.f32 x) -2)
(-.f32 x (sqrt.f32 (fma.f32 x x -1)))
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
Outputs
10201/9216
(-.f32 (exp.f32 (log1p.f32 (+.f32 (log.f32 x) -2))) 1)
(-.f32 (/.f32 (pow.f32 (log.f32 x) 2) (+.f32 (log.f32 x) 2)) (/.f32 4 (+.f32 (log.f32 x) 2)))
(*.f32 (+.f32 (log.f32 x) -2) 1)
(*.f32 (+.f32 (log.f32 x) -2) (log.f32 (exp.f32 1)))
(*.f32 1 (+.f32 (log.f32 x) -2))
(*.f32 (cbrt.f32 (+.f32 (log.f32 x) -2)) (pow.f32 (cbrt.f32 (+.f32 (log.f32 x) -2)) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 x) -2)) 2) (cbrt.f32 (+.f32 (log.f32 x) -2)))
(*.f32 (sqrt.f32 (+.f32 (log.f32 x) -2)) (sqrt.f32 (+.f32 (log.f32 x) -2)))
(*.f32 (+.f32 (pow.f32 (log.f32 x) 3) -8) (/.f32 1 (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 4 (*.f32 (log.f32 x) -2)))))
(*.f32 (+.f32 (pow.f32 (log.f32 x) 2) -4) (/.f32 1 (+.f32 (log.f32 x) 2)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 4 (*.f32 (log.f32 x) -2))) (+.f32 (pow.f32 (log.f32 x) 3) -8)))
(/.f32 1 (/.f32 (+.f32 (log.f32 x) 2) (+.f32 (pow.f32 (log.f32 x) 2) -4)))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) -8) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 4 (*.f32 (log.f32 x) -2))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) -8) (+.f32 4 (-.f32 (pow.f32 (log.f32 x) 2) (*.f32 (log.f32 x) -2))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 2) -4) (+.f32 (log.f32 x) 2))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) 3) -8)) (neg.f32 (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 4 (*.f32 (log.f32 x) -2)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) 2) -4)) (neg.f32 (+.f32 (log.f32 x) 2)))
(/.f32 (-.f32 4 (pow.f32 (log.f32 x) 2)) (-.f32 -2 (log.f32 x)))
(pow.f32 (+.f32 (log.f32 x) -2) 1)
(pow.f32 (cbrt.f32 (+.f32 (log.f32 x) -2)) 3)
(pow.f32 (pow.f32 (+.f32 (log.f32 x) -2) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (log.f32 x) -2)) 2)
(sqrt.f32 (pow.f32 (+.f32 (log.f32 x) -2) 2))
(log.f32 (*.f32 x (exp.f32 -2)))
(log.f32 (+.f32 1 (fma.f32 x (exp.f32 -2) -1)))
(cbrt.f32 (pow.f32 (+.f32 (log.f32 x) -2) 3))
(expm1.f32 (log1p.f32 (+.f32 (log.f32 x) -2)))
(exp.f32 (log.f32 (+.f32 (log.f32 x) -2)))
(exp.f32 (*.f32 (log.f32 (+.f32 (log.f32 x) -2)) 1))
(log1p.f32 (fma.f32 x (exp.f32 -2) -1))
(fma.f32 (log.f32 x) 1 -2)
(fma.f32 1 (log.f32 x) -2)
(fma.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2) -2)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) -2)
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) -2)
(+.f32 x (neg.f32 (sqrt.f32 (fma.f32 x x -1))))
(+.f32 x (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1))
(+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1 (sqrt.f32 (fma.f32 x x -1))))
(+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1))))
(+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x -1))))
(+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 -1 (sqrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1))))
(+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 (neg.f32 (cbrt.f32 (fma.f32 x x -1))) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x -1))))
(+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) x)
(+.f32 0 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(+.f32 (fma.f32 x 1 (neg.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (pow.f32 1 1/2) (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2))))
(+.f32 (fma.f32 x 1 (neg.f32 (*.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)))) (fma.f32 (neg.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 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2))))
(+.f32 (fma.f32 x 1 (neg.f32 (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2))))) (fma.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)))))
(+.f32 (fma.f32 1 x (neg.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (pow.f32 1 1/2) (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2))))
(+.f32 (fma.f32 1 x (neg.f32 (*.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)))) (fma.f32 (neg.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 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2))))
(+.f32 (fma.f32 1 x (neg.f32 (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2))))) (fma.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)))))
(+.f32 (fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (neg.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (pow.f32 1 1/2) (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2))))
(+.f32 (fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (neg.f32 (*.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)))) (fma.f32 (neg.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 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2))))
(+.f32 (fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (neg.f32 (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2))))) (fma.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (neg.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (pow.f32 1 1/2) (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (neg.f32 (*.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)))) (fma.f32 (neg.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 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (neg.f32 (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2))))) (fma.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)))))
(+.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (neg.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (pow.f32 1 1/2) (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2))))
(+.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (neg.f32 (*.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)))) (fma.f32 (neg.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 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2))))
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(*.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 (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 (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))))))
(pow.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(pow.f32 (cbrt.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
(pow.f32 (pow.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)
(neg.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (fma.f32 x x -1))) (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))
(neg.f32 (log.f32 (/.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 (pow.f32 x 2) (fma.f32 x x -1)))))
(sqrt.f32 (pow.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))
(cbrt.f32 (pow.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3))
(expm1.f32 (log1p.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(exp.f32 (log.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(log1p.f32 (-.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))

simplify135.0ms (2.5%)

Algorithm
egg-herbie
Rules
580×unswap-sqr
492×distribute-lft-in
266×fma-neg
221×log-prod
217×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048411293
1112710172
233038972
Stop Event
node limit
Counts
219 → 296
Calls
Call 1
Inputs
(-.f32 (log.f32 x) 2)
(-.f32 (log.f32 x) 2)
(-.f32 (log.f32 x) 2)
(-.f32 (log.f32 x) 2)
(-.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) 2)
(-.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) 2)
(-.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) 2)
(-.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) 2)
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))) 2)
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))) 2)
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))) 2)
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))) 2)
(*.f32 -1 (sqrt.f32 -1))
(+.f32 x (*.f32 -1 (sqrt.f32 -1)))
(+.f32 x (+.f32 (*.f32 -1 (sqrt.f32 -1)) (*.f32 -1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1)))))
(+.f32 x (+.f32 (*.f32 -1 (sqrt.f32 -1)) (+.f32 (*.f32 -1/2 (/.f32 (pow.f32 x 2) (sqrt.f32 -1))) (*.f32 1/8 (/.f32 (pow.f32 x 4) (pow.f32 (sqrt.f32 -1) 3))))))
(/.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)))))
(*.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)))))
(log.f32 (neg.f32 (sqrt.f32 -1)))
(+.f32 (log.f32 (neg.f32 (sqrt.f32 -1))) (*.f32 -1 (/.f32 x (sqrt.f32 -1))))
(+.f32 (log.f32 (neg.f32 (sqrt.f32 -1))) (+.f32 (*.f32 -1 (/.f32 x (sqrt.f32 -1))) (*.f32 1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3)))))
(+.f32 (log.f32 (neg.f32 (sqrt.f32 -1))) (+.f32 (*.f32 -1 (/.f32 x (sqrt.f32 -1))) (+.f32 (*.f32 -3/40 (/.f32 (pow.f32 x 5) (pow.f32 (sqrt.f32 -1) 5))) (*.f32 1/6 (/.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 -1) 3))))))
(+.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 (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))))))
10201/9216
(-.f32 (exp.f32 (log1p.f32 (+.f32 (log.f32 x) -2))) 1)
(-.f32 (/.f32 (pow.f32 (log.f32 x) 2) (+.f32 (log.f32 x) 2)) (/.f32 4 (+.f32 (log.f32 x) 2)))
(*.f32 (+.f32 (log.f32 x) -2) 1)
(*.f32 (+.f32 (log.f32 x) -2) (log.f32 (exp.f32 1)))
(*.f32 1 (+.f32 (log.f32 x) -2))
(*.f32 (cbrt.f32 (+.f32 (log.f32 x) -2)) (pow.f32 (cbrt.f32 (+.f32 (log.f32 x) -2)) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 x) -2)) 2) (cbrt.f32 (+.f32 (log.f32 x) -2)))
(*.f32 (sqrt.f32 (+.f32 (log.f32 x) -2)) (sqrt.f32 (+.f32 (log.f32 x) -2)))
(*.f32 (+.f32 (pow.f32 (log.f32 x) 3) -8) (/.f32 1 (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 4 (*.f32 (log.f32 x) -2)))))
(*.f32 (+.f32 (pow.f32 (log.f32 x) 2) -4) (/.f32 1 (+.f32 (log.f32 x) 2)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 4 (*.f32 (log.f32 x) -2))) (+.f32 (pow.f32 (log.f32 x) 3) -8)))
(/.f32 1 (/.f32 (+.f32 (log.f32 x) 2) (+.f32 (pow.f32 (log.f32 x) 2) -4)))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) -8) (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 4 (*.f32 (log.f32 x) -2))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 3) -8) (+.f32 4 (-.f32 (pow.f32 (log.f32 x) 2) (*.f32 (log.f32 x) -2))))
(/.f32 (+.f32 (pow.f32 (log.f32 x) 2) -4) (+.f32 (log.f32 x) 2))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) 3) -8)) (neg.f32 (+.f32 (pow.f32 (log.f32 x) 2) (-.f32 4 (*.f32 (log.f32 x) -2)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) 2) -4)) (neg.f32 (+.f32 (log.f32 x) 2)))
(/.f32 (-.f32 4 (pow.f32 (log.f32 x) 2)) (-.f32 -2 (log.f32 x)))
(pow.f32 (+.f32 (log.f32 x) -2) 1)
(pow.f32 (cbrt.f32 (+.f32 (log.f32 x) -2)) 3)
(pow.f32 (pow.f32 (+.f32 (log.f32 x) -2) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (log.f32 x) -2)) 2)
(sqrt.f32 (pow.f32 (+.f32 (log.f32 x) -2) 2))
(log.f32 (*.f32 x (exp.f32 -2)))
(log.f32 (+.f32 1 (fma.f32 x (exp.f32 -2) -1)))
(cbrt.f32 (pow.f32 (+.f32 (log.f32 x) -2) 3))
(expm1.f32 (log1p.f32 (+.f32 (log.f32 x) -2)))
(exp.f32 (log.f32 (+.f32 (log.f32 x) -2)))
(exp.f32 (*.f32 (log.f32 (+.f32 (log.f32 x) -2)) 1))
(log1p.f32 (fma.f32 x (exp.f32 -2) -1))
(fma.f32 (log.f32 x) 1 -2)
(fma.f32 1 (log.f32 x) -2)
(fma.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2) -2)
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 x)) 2) (cbrt.f32 (log.f32 x)) -2)
(fma.f32 (sqrt.f32 (log.f32 x)) (sqrt.f32 (log.f32 x)) -2)
(+.f32 x (neg.f32 (sqrt.f32 (fma.f32 x x -1))))
(+.f32 x (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1))
(+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1 (sqrt.f32 (fma.f32 x x -1))))
(+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1))))
(+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x -1))))
(+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 -1 (sqrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1))))
(+.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 (neg.f32 (cbrt.f32 (fma.f32 x x -1))) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x -1))))
(+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) x)
(+.f32 0 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(+.f32 (fma.f32 x 1 (neg.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (pow.f32 1 1/2) (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2))))
(+.f32 (fma.f32 x 1 (neg.f32 (*.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)))) (fma.f32 (neg.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 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2))))
(+.f32 (fma.f32 x 1 (neg.f32 (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2))))) (fma.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)))))
(+.f32 (fma.f32 1 x (neg.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (pow.f32 1 1/2) (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2))))
(+.f32 (fma.f32 1 x (neg.f32 (*.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)))) (fma.f32 (neg.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 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2))))
(+.f32 (fma.f32 1 x (neg.f32 (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2))))) (fma.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)))))
(+.f32 (fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (neg.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (pow.f32 1 1/2) (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2))))
(+.f32 (fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (neg.f32 (*.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)))) (fma.f32 (neg.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 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2))))
(+.f32 (fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (neg.f32 (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2))))) (fma.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (neg.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (pow.f32 1 1/2) (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (neg.f32 (*.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)))) (fma.f32 (neg.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 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (neg.f32 (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2))))) (fma.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)))))
(+.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (neg.f32 (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (pow.f32 1 1/2) (*.f32 (sqrt.f32 (fma.f32 x x -1)) (pow.f32 1 1/2))))
(+.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (neg.f32 (*.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)))) (fma.f32 (neg.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 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2) 1/2))))
(+.f32 (fma.f32 (sqrt.f32 x) (sqrt.f32 x) (neg.f32 (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2))))) (fma.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)) (*.f32 (sqrt.f32 (cbrt.f32 (fma.f32 x x -1))) (sqrt.f32 (pow.f32 (cbrt.f32 (fma.f32 x x -1)) 2)))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) (cbrt.f32 (exp.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))) (log.f32 (cbrt.f32 (exp.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))) (log.f32 (sqrt.f32 (exp.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))))
(*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) 1)
(*.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (log.f32 (exp.f32 1)))
(*.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(*.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))
(*.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)))))
(*.f32 (sqrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (-.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 1 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (fma.f32 x x -1)))))
(*.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x -1)) (/.f32 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 (+.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)))
(/.f32 1 (/.f32 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (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 (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (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 (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (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 (pow.f32 x 3) (pow.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 3)) (fma.f32 x x (-.f32 (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (neg.f32 (sqrt.f32 (fma.f32 x x -1)))) (*.f32 x (neg.f32 (sqrt.f32 (fma.f32 x x -1)))))))
(/.f32 (-.f32 (pow.f32 x 2) (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (neg.f32 (sqrt.f32 (fma.f32 x x -1))))) (-.f32 x (neg.f32 (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))))))
(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 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (/.f32 1 (exp.f32 (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (exp.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (*.f32 (/.f32 1 (exp.f32 (sqrt.f32 (fma.f32 x x -1)))) (exp.f32 x)))
(log.f32 (*.f32 (/.f32 1 (exp.f32 (sqrt.f32 (fma.f32 x x -1)))) (+.f32 1 (expm1.f32 x))))
(log.f32 (*.f32 (exp.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1)))) (exp.f32 x)))
(log.f32 (*.f32 (exp.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1)))) (+.f32 1 (expm1.f32 x))))
(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))))))
(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)))))
(exp.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log1p.f32 (expm1.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(fma.f32 x 1 (neg.f32 (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 x 1 (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1))
(fma.f32 -1 (sqrt.f32 (fma.f32 x x -1)) x)
(fma.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) 1 (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1 (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) 1 (fma.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) 1 (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 1 x (neg.f32 (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 1 x (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1))
(fma.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1 (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (fma.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 1 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 1 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) x)
(fma.f32 (cbrt.f32 (fma.f32 x x -1)) (neg.f32 (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) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1 (sqrt.f32 (fma.f32 x x -1))))
(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) (fma.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1))))
(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) (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (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)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1 (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)))) (fma.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x -1)) (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)))) (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (neg.f32 (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (neg.f32 (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1))
(fma.f32 (pow.f32 (fma.f32 x x -1) 1/4) (neg.f32 (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)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1 (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)))) (fma.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x -1)) (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)))) (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (neg.f32 (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1))
(fma.f32 (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (/.f32 1 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (fma.f32 x x -1)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1 (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 (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (fma.f32 x x -1)))) (fma.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x -1)) (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 (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (fma.f32 x x -1)))) (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (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)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1 (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)))) (fma.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x -1)) (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)))) (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (neg.f32 (pow.f32 (fma.f32 x x -1) 1/4)) (pow.f32 (fma.f32 x x -1) 1/4) x)
(fma.f32 (neg.f32 (cbrt.f32 (fma.f32 x x -1))) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) x)
(fma.f32 (*.f32 (cbrt.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))))) (cbrt.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1)))) x)
(fma.f32 (sqrt.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1)))) x)
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1 (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (fma.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (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 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 (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (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 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4))) (log.f32 (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1)
(-.f32 0 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (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 (log.f32 (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (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 (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 (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (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 (pow.f32 x 3) (pow.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 3))) (log.f32 (fma.f32 x x (-.f32 (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (neg.f32 (sqrt.f32 (fma.f32 x x -1)))) (*.f32 x (neg.f32 (sqrt.f32 (fma.f32 x x -1))))))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 2) (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (neg.f32 (sqrt.f32 (fma.f32 x x -1)))))) (log.f32 (-.f32 x (neg.f32 (sqrt.f32 (fma.f32 x x -1))))))
(*.f32 2 (log.f32 (sqrt.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 1 (log.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 (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 (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))))))
(pow.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(pow.f32 (cbrt.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) 3)
(pow.f32 (pow.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)
(neg.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (fma.f32 x x -1))) (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))
(neg.f32 (log.f32 (/.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 (pow.f32 x 2) (fma.f32 x x -1)))))
(sqrt.f32 (pow.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))
(cbrt.f32 (pow.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3))
(expm1.f32 (log1p.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(exp.f32 (log.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(exp.f32 (*.f32 (log.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(log1p.f32 (-.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))
Outputs
(-.f32 (log.f32 x) 2)
(+.f32 (log.f32 x) -2)
(-.f32 (log.f32 x) 2)
(+.f32 (log.f32 x) -2)
(-.f32 (log.f32 x) 2)
(+.f32 (log.f32 x) -2)
(-.f32 (log.f32 x) 2)
(+.f32 (log.f32 x) -2)
(-.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) 2)
(+.f32 (log.f32 x) -2)
(-.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) 2)
(+.f32 (log.f32 x) -2)
(-.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) 2)
(+.f32 (log.f32 x) -2)
(-.f32 (*.f32 -1 (log.f32 (/.f32 1 x))) 2)
(+.f32 (log.f32 x) -2)
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))) 2)
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) 2))
(+.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 x))) -2)
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 -1 x)))) 2)
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(+.f32 (-.f32 (sqrt.f32 (fma.f32 x x -1)) (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1)))) (/.f32 (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (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 (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (fma.f32 x x -1)))) (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x -1))))
(/.f32 1 (/.f32 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (fma.f32 x x -1))) (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))))
(/.f32 (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)) (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (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)))) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1 (sqrt.f32 (fma.f32 x x -1))))
(/.f32 (*.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x -1)) 1) (+.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 1 (+.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)))) (fma.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1))))
(+.f32 (fma.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x -1)) (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 (-.f32 (sqrt.f32 (fma.f32 x x -1)) (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1)))) (/.f32 1 (+.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)))) (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x -1))))
(/.f32 (*.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x -1)) 1) (+.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 1 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (neg.f32 (pow.f32 (fma.f32 x x -1) 1/4)) (pow.f32 (fma.f32 x x -1) 1/4) x)
(fma.f32 (pow.f32 (fma.f32 x x -1) 1/4) (neg.f32 (pow.f32 (fma.f32 x x -1) 1/4)) x)
(-.f32 x (pow.f32 (fma.f32 x x -1) 1/2))
(fma.f32 (neg.f32 (cbrt.f32 (fma.f32 x x -1))) (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) x)
(fma.f32 (cbrt.f32 (fma.f32 x x -1)) (neg.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) x)
(fma.f32 (*.f32 (cbrt.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))))) (cbrt.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1)))) x)
(-.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (sqrt.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1)))) (sqrt.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1)))) x)
(-.f32 x (sqrt.f32 (fma.f32 x x -1)))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 1 (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (fma.f32 -1 (sqrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (*.f32 (sqrt.f32 (fma.f32 x x -1)) 0))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) 0)
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (fma.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1)))) (cbrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (-.f32 (sqrt.f32 (fma.f32 x x -1)) (*.f32 (cbrt.f32 (sqrt.f32 (fma.f32 x x -1))) (cbrt.f32 (fma.f32 x x -1)))))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (fma.f32 -1 (sqrt.f32 (fma.f32 x x -1)) (sqrt.f32 (fma.f32 x x -1))))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (*.f32 (sqrt.f32 (fma.f32 x x -1)) 0))
(fma.f32 (+.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4)) 0)
(+.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) 0)
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(+.f32 0 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(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))))))
(log.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)))))))
(log.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))))))
(log.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 (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (fma.f32 x x -1))))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (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 (pow.f32 x 2) (fma.f32 x x -1))) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(+.f32 (log.f32 (+.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4))) (log.f32 (-.f32 (sqrt.f32 x) (pow.f32 (fma.f32 x x -1) 1/4))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))) 1)
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(-.f32 0 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (fma.f32 x x -1))) (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (fma.f32 x x -1)))))
(-.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 (log.f32 (-.f32 (pow.f32 x 2) (fma.f32 x x -1))) (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(neg.f32 (log.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 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (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)))))
(neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(-.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 (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (fma.f32 x x -1))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (fma.f32 x x -1) 3/2) (neg.f32 (pow.f32 x 3)))) (log.f32 (neg.f32 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (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 (neg.f32 (pow.f32 x 2)) (fma.f32 x x -1))) (log.f32 (-.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) x)))
(-.f32 (log.f32 -1) (log.f32 (-.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) x)))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 3))) (log.f32 (fma.f32 x x (-.f32 (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (neg.f32 (sqrt.f32 (fma.f32 x x -1)))) (*.f32 x (neg.f32 (sqrt.f32 (fma.f32 x x -1))))))))
(-.f32 (log.f32 (+.f32 (pow.f32 x 3) (pow.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) 3))) (log.f32 (fma.f32 x x (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (-.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) x)))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 3) (pow.f32 (sqrt.f32 (fma.f32 x x -1)) 3))) (log.f32 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (fma.f32 x x -1)))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 2) (*.f32 (neg.f32 (sqrt.f32 (fma.f32 x x -1))) (neg.f32 (sqrt.f32 (fma.f32 x x -1)))))) (log.f32 (-.f32 x (neg.f32 (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)))))
(neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(*.f32 2 (log.f32 (sqrt.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -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)
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(*.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) (log.f32 (exp.f32 1)))
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(*.f32 1 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(log.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))
(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) (cbrt.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(*.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))))))
(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))))))
(log.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))))))
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(pow.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) 1)
(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))))) 3)
(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)))) 3) 1/3)
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(pow.f32 (sqrt.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(neg.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (fma.f32 x x -1))) (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2)))))
(-.f32 (log.f32 (-.f32 (pow.f32 x 3) (pow.f32 (fma.f32 x x -1) 3/2))) (log.f32 (fma.f32 x x (fma.f32 x (sqrt.f32 (fma.f32 x x -1)) (fma.f32 x x -1)))))
(neg.f32 (log.f32 (/.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))) (-.f32 (pow.f32 x 2) (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)))))
(neg.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(sqrt.f32 (pow.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) 2))
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(cbrt.f32 (pow.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))) 3))
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(expm1.f32 (log1p.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(exp.f32 (log.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))))
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(exp.f32 (*.f32 (log.f32 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))) 1))
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))
(log1p.f32 (-.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))) 1))
(log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1))))

eval161.0ms (3%)

Compiler

Compiled 6935 to 5209 computations (24.9% saved)

prune59.0ms (1.1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New3402342
Fresh000
Picked145
Done134
Total3429351
Accuracy
100.0%
Counts
351 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.1%
(pow.f32 101/96 2)
98.0%
(-.f32 0 (log.f32 (/.f32 1/2 x)))
9.1%
(-.f32 0 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
37.7%
(+.f32 (log.f32 x) -2)
98.9%
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
49.9%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
97.6%
(log.f32 (+.f32 x x))
23.8%
835/192
21.1%
10201/9216
Compiler

Compiled 55 to 42 computations (23.6% saved)

localize75.0ms (1.4%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(/.f32 1/2 x)
100.0%
(log.f32 (/.f32 1/2 x))
Compiler

Compiled 19 to 15 computations (21.1% saved)

series34.0ms (0.6%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
(log.f32 (/.f32 1/2 x))
14.0ms
x
@0
(log.f32 (/.f32 1/2 x))
6.0ms
x
@inf
(log.f32 (/.f32 1/2 x))

rewrite68.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
664×frac-times
296×log1p-expm1-u
296×expm1-log1p-u
280×add-exp-log
270×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
17114
282914
Stop Event
node limit
Counts
1 → 63
Calls
Call 1
Inputs
(log.f32 (/.f32 1/2 x))
Outputs
(+.f32 (log.f32 (/.f32 1/2 x)) 0)
(+.f32 (log.f32 (/.f32 1/2 x)) (fma.f32 (neg.f32 (log.f32 x)) 1 (log.f32 x)))
(+.f32 (log.f32 (/.f32 1/2 x)) (fma.f32 (neg.f32 (sqrt.f32 (log.f32 x))) (sqrt.f32 (log.f32 x)) (log.f32 x)))
(+.f32 (log1p.f32 -1/2) (neg.f32 (log.f32 x)))
(+.f32 0 (log.f32 (/.f32 1/2 x)))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (/.f32 1/2 x)))) (log.f32 (cbrt.f32 (/.f32 1/2 x))))
(+.f32 (log.f32 (cbrt.f32 (/.f32 1/2 x))) (*.f32 2 (log.f32 (cbrt.f32 (/.f32 1/2 x)))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x)))
(+.f32 (neg.f32 (log.f32 x)) (log1p.f32 -1/2))
(+.f32 (fma.f32 1 (log1p.f32 -1/2) (neg.f32 (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 x))) (pow.f32 (cbrt.f32 (log.f32 x)) 2) (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 -1/2)) 2) (cbrt.f32 (log1p.f32 -1/2)) (neg.f32 (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 x))) (pow.f32 (cbrt.f32 (log.f32 x)) 2) (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2))))
(+.f32 (fma.f32 (sqrt.f32 (log1p.f32 -1/2)) (sqrt.f32 (log1p.f32 -1/2)) (neg.f32 (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 x))) (pow.f32 (cbrt.f32 (log.f32 x)) 2) (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2))))
(-.f32 (log1p.f32 -1/2) (log.f32 x))
(-.f32 (+.f32 1 (log.f32 (/.f32 1/2 x))) 1)
(-.f32 0 (log.f32 (*.f32 x 2)))
(-.f32 0 (log.f32 (/.f32 (*.f32 x 2) 1)))
(-.f32 (log.f32 -1/2) (log.f32 x))
(-.f32 (log.f32 -1) (log.f32 (neg.f32 (*.f32 x 2))))
(-.f32 (log.f32 (/.f32 1/2 (pow.f32 (cbrt.f32 x) 2))) (log.f32 (cbrt.f32 x)))
(-.f32 (log.f32 (/.f32 1/2 (sqrt.f32 x))) (log.f32 (sqrt.f32 x)))
(*.f32 (log.f32 (/.f32 1/2 x)) 1)
(*.f32 (log.f32 (/.f32 1/2 x)) (log.f32 (E.f32)))
(*.f32 1 (log.f32 (/.f32 1/2 x)))
(*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 x))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))
(*.f32 -1 (log.f32 (*.f32 x 2)))
(*.f32 2 (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(*.f32 1/3 (log.f32 (/.f32 1/8 (pow.f32 x 3))))
(*.f32 3 (log.f32 (cbrt.f32 (/.f32 1/2 x))))
(*.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 1/4) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3/2)))
(*.f32 (pow.f32 1 1/3) (log.f32 (/.f32 1/2 x)))
(*.f32 (pow.f32 (pow.f32 (*.f32 (log.f32 (/.f32 1/2 x)) (cbrt.f32 (log.f32 (/.f32 1/2 x)))) 2) 1/3) (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 5/2) 1/3) (pow.f32 (log.f32 (/.f32 1/2 x)) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (log.f32 (/.f32 1/2 x)) (cbrt.f32 (log.f32 (/.f32 1/2 x)))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))))
(*.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 5/2)) (pow.f32 (log.f32 (/.f32 1/2 x)) 1/6))
(*.f32 (sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3/2)) (pow.f32 (log.f32 (/.f32 1/2 x)) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 5)) (pow.f32 (log.f32 (/.f32 1/2 x)) 1/6))
(/.f32 (-.f32 (pow.f32 (log1p.f32 -1/2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log1p.f32 -1/2) 2) (+.f32 (pow.f32 (log.f32 x) 2) (*.f32 (log1p.f32 -1/2) (log.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 -1/2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (*.f32 1/2 x)))
(pow.f32 (log.f32 (/.f32 1/2 x)) 1)
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 3)
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2) 1/2)
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) 2)
(pow.f32 (E.f32) (log.f32 (log.f32 (/.f32 1/2 x))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (/.f32 1/2 x)))) 2)) (cbrt.f32 (log.f32 (log.f32 (/.f32 1/2 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (/.f32 1/2 x))))) (sqrt.f32 (log.f32 (log.f32 (/.f32 1/2 x)))))
(neg.f32 (log.f32 (*.f32 x 2)))
(neg.f32 (log.f32 (/.f32 (*.f32 x 2) 1)))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))
(fabs.f32 (log.f32 (/.f32 1/2 x)))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 x))))
(exp.f32 (log.f32 (log.f32 (/.f32 1/2 x))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (log.f32 (/.f32 1/2 x)))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x)))) 2))
(log1p.f32 (-.f32 (/.f32 1/2 x) 1))
(fma.f32 1 (log1p.f32 -1/2) (neg.f32 (log.f32 x)))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 -1/2)) 2) (cbrt.f32 (log1p.f32 -1/2)) (neg.f32 (log.f32 x)))
(fma.f32 (sqrt.f32 (log1p.f32 -1/2)) (sqrt.f32 (log1p.f32 -1/2)) (neg.f32 (log.f32 x)))

simplify69.0ms (1.3%)

Algorithm
egg-herbie
Rules
626×fma-neg
568×fma-def
433×associate-*r*
398×associate-*l*
371×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01872000
13951600
210781560
353431560
Stop Event
node limit
Counts
75 → 80
Calls
Call 1
Inputs
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 (/.f32 1/2 x)) 0)
(+.f32 (log.f32 (/.f32 1/2 x)) (fma.f32 (neg.f32 (log.f32 x)) 1 (log.f32 x)))
(+.f32 (log.f32 (/.f32 1/2 x)) (fma.f32 (neg.f32 (sqrt.f32 (log.f32 x))) (sqrt.f32 (log.f32 x)) (log.f32 x)))
(+.f32 (log1p.f32 -1/2) (neg.f32 (log.f32 x)))
(+.f32 0 (log.f32 (/.f32 1/2 x)))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (/.f32 1/2 x)))) (log.f32 (cbrt.f32 (/.f32 1/2 x))))
(+.f32 (log.f32 (cbrt.f32 (/.f32 1/2 x))) (*.f32 2 (log.f32 (cbrt.f32 (/.f32 1/2 x)))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x)))
(+.f32 (neg.f32 (log.f32 x)) (log1p.f32 -1/2))
(+.f32 (fma.f32 1 (log1p.f32 -1/2) (neg.f32 (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 x))) (pow.f32 (cbrt.f32 (log.f32 x)) 2) (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 -1/2)) 2) (cbrt.f32 (log1p.f32 -1/2)) (neg.f32 (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 x))) (pow.f32 (cbrt.f32 (log.f32 x)) 2) (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2))))
(+.f32 (fma.f32 (sqrt.f32 (log1p.f32 -1/2)) (sqrt.f32 (log1p.f32 -1/2)) (neg.f32 (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 x))) (pow.f32 (cbrt.f32 (log.f32 x)) 2) (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2))))
(-.f32 (log1p.f32 -1/2) (log.f32 x))
(-.f32 (+.f32 1 (log.f32 (/.f32 1/2 x))) 1)
(-.f32 0 (log.f32 (*.f32 x 2)))
(-.f32 0 (log.f32 (/.f32 (*.f32 x 2) 1)))
(-.f32 (log.f32 -1/2) (log.f32 x))
(-.f32 (log.f32 -1) (log.f32 (neg.f32 (*.f32 x 2))))
(-.f32 (log.f32 (/.f32 1/2 (pow.f32 (cbrt.f32 x) 2))) (log.f32 (cbrt.f32 x)))
(-.f32 (log.f32 (/.f32 1/2 (sqrt.f32 x))) (log.f32 (sqrt.f32 x)))
(*.f32 (log.f32 (/.f32 1/2 x)) 1)
(*.f32 (log.f32 (/.f32 1/2 x)) (log.f32 (E.f32)))
(*.f32 1 (log.f32 (/.f32 1/2 x)))
(*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 x))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))
(*.f32 -1 (log.f32 (*.f32 x 2)))
(*.f32 2 (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(*.f32 1/3 (log.f32 (/.f32 1/8 (pow.f32 x 3))))
(*.f32 3 (log.f32 (cbrt.f32 (/.f32 1/2 x))))
(*.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 1/4) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3/2)))
(*.f32 (pow.f32 1 1/3) (log.f32 (/.f32 1/2 x)))
(*.f32 (pow.f32 (pow.f32 (*.f32 (log.f32 (/.f32 1/2 x)) (cbrt.f32 (log.f32 (/.f32 1/2 x)))) 2) 1/3) (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 5/2) 1/3) (pow.f32 (log.f32 (/.f32 1/2 x)) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (log.f32 (/.f32 1/2 x)) (cbrt.f32 (log.f32 (/.f32 1/2 x)))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))))
(*.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 5/2)) (pow.f32 (log.f32 (/.f32 1/2 x)) 1/6))
(*.f32 (sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3/2)) (pow.f32 (log.f32 (/.f32 1/2 x)) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 5)) (pow.f32 (log.f32 (/.f32 1/2 x)) 1/6))
(/.f32 (-.f32 (pow.f32 (log1p.f32 -1/2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log1p.f32 -1/2) 2) (+.f32 (pow.f32 (log.f32 x) 2) (*.f32 (log1p.f32 -1/2) (log.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 -1/2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (*.f32 1/2 x)))
(pow.f32 (log.f32 (/.f32 1/2 x)) 1)
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 3)
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2) 1/2)
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) 2)
(pow.f32 (E.f32) (log.f32 (log.f32 (/.f32 1/2 x))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (/.f32 1/2 x)))) 2)) (cbrt.f32 (log.f32 (log.f32 (/.f32 1/2 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (/.f32 1/2 x))))) (sqrt.f32 (log.f32 (log.f32 (/.f32 1/2 x)))))
(neg.f32 (log.f32 (*.f32 x 2)))
(neg.f32 (log.f32 (/.f32 (*.f32 x 2) 1)))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))
(fabs.f32 (log.f32 (/.f32 1/2 x)))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 x))))
(exp.f32 (log.f32 (log.f32 (/.f32 1/2 x))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))) 3))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (log.f32 (/.f32 1/2 x)))) 1/3))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x)))) 2))
(log1p.f32 (-.f32 (/.f32 1/2 x) 1))
(fma.f32 1 (log1p.f32 -1/2) (neg.f32 (log.f32 x)))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 -1/2)) 2) (cbrt.f32 (log1p.f32 -1/2)) (neg.f32 (log.f32 x)))
(fma.f32 (sqrt.f32 (log1p.f32 -1/2)) (sqrt.f32 (log1p.f32 -1/2)) (neg.f32 (log.f32 x)))
Outputs
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (/.f32 1/2 x)) 0)
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (/.f32 1/2 x)) (fma.f32 (neg.f32 (log.f32 x)) 1 (log.f32 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log.f32 (/.f32 1/2 x)) (fma.f32 (neg.f32 (sqrt.f32 (log.f32 x))) (sqrt.f32 (log.f32 x)) (log.f32 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (log1p.f32 -1/2) (neg.f32 (log.f32 x)))
(-.f32 (log1p.f32 -1/2) (log.f32 x))
(+.f32 0 (log.f32 (/.f32 1/2 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (/.f32 1/2 x)))) (log.f32 (cbrt.f32 (/.f32 1/2 x))))
(*.f32 (log.f32 (cbrt.f32 (/.f32 1/2 x))) 3)
(+.f32 (log.f32 (cbrt.f32 (/.f32 1/2 x))) (*.f32 2 (log.f32 (cbrt.f32 (/.f32 1/2 x)))))
(*.f32 (log.f32 (cbrt.f32 (/.f32 1/2 x))) 3)
(+.f32 (log.f32 (sqrt.f32 (/.f32 1/2 x))) (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(*.f32 2 (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(+.f32 (log.f32 -1/2) (neg.f32 (log.f32 x)))
(-.f32 (log.f32 -1/2) (log.f32 x))
(+.f32 (neg.f32 (log.f32 x)) (log1p.f32 -1/2))
(-.f32 (log1p.f32 -1/2) (log.f32 x))
(+.f32 (fma.f32 1 (log1p.f32 -1/2) (neg.f32 (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 x))) (pow.f32 (cbrt.f32 (log.f32 x)) 2) (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2))))
(-.f32 (log1p.f32 -1/2) (log.f32 x))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 -1/2)) 2) (cbrt.f32 (log1p.f32 -1/2)) (neg.f32 (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 x))) (pow.f32 (cbrt.f32 (log.f32 x)) 2) (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2))))
(-.f32 (log1p.f32 -1/2) (log.f32 x))
(+.f32 (fma.f32 (sqrt.f32 (log1p.f32 -1/2)) (sqrt.f32 (log1p.f32 -1/2)) (neg.f32 (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 x))) (pow.f32 (cbrt.f32 (log.f32 x)) 2) (*.f32 (cbrt.f32 (log.f32 x)) (pow.f32 (cbrt.f32 (log.f32 x)) 2))))
(-.f32 (log1p.f32 -1/2) (log.f32 x))
(-.f32 (log1p.f32 -1/2) (log.f32 x))
(-.f32 (+.f32 1 (log.f32 (/.f32 1/2 x))) 1)
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(-.f32 0 (log.f32 (*.f32 x 2)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(-.f32 0 (log.f32 (/.f32 (*.f32 x 2) 1)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(-.f32 (log.f32 -1/2) (log.f32 x))
(-.f32 (log.f32 -1) (log.f32 (neg.f32 (*.f32 x 2))))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(-.f32 (log.f32 (/.f32 1/2 (pow.f32 (cbrt.f32 x) 2))) (log.f32 (cbrt.f32 x)))
(-.f32 (log.f32 1/2) (*.f32 (log.f32 (cbrt.f32 x)) 3))
(-.f32 (log.f32 (/.f32 1/2 (sqrt.f32 x))) (log.f32 (sqrt.f32 x)))
(-.f32 (log.f32 1/2) (*.f32 2 (log.f32 (sqrt.f32 x))))
(*.f32 (log.f32 (/.f32 1/2 x)) 1)
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(*.f32 (log.f32 (/.f32 1/2 x)) (log.f32 (E.f32)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(*.f32 1 (log.f32 (/.f32 1/2 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(*.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 x))))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) (sqrt.f32 (log.f32 (/.f32 1/2 x))))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(*.f32 -1 (log.f32 (*.f32 x 2)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(*.f32 2 (log.f32 (sqrt.f32 (/.f32 1/2 x))))
(*.f32 1/3 (log.f32 (/.f32 1/8 (pow.f32 x 3))))
(*.f32 3 (log.f32 (cbrt.f32 (/.f32 1/2 x))))
(*.f32 (log.f32 (cbrt.f32 (/.f32 1/2 x))) 3)
(*.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 1/4) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3/2)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(*.f32 (pow.f32 1 1/3) (log.f32 (/.f32 1/2 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(*.f32 (pow.f32 (pow.f32 (*.f32 (log.f32 (/.f32 1/2 x)) (cbrt.f32 (log.f32 (/.f32 1/2 x)))) 2) 1/3) (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (log.f32 (/.f32 1/2 x)) (cbrt.f32 (log.f32 (/.f32 1/2 x)))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 4) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 8)) (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))))
(*.f32 (pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 5/2) 1/3) (pow.f32 (log.f32 (/.f32 1/2 x)) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 5/2)) (pow.f32 (log.f32 (/.f32 1/2 x)) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (log.f32 (/.f32 1/2 x)) (cbrt.f32 (log.f32 (/.f32 1/2 x)))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 4) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 8)) (cbrt.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))))
(*.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 5/2)) (pow.f32 (log.f32 (/.f32 1/2 x)) 1/6))
(*.f32 (sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3/2)) (pow.f32 (log.f32 (/.f32 1/2 x)) 1/4))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 5)) (pow.f32 (log.f32 (/.f32 1/2 x)) 1/6))
(*.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 1/6) (sqrt.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 5)))
(*.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 1/6) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 5/2))
(/.f32 (-.f32 (pow.f32 (log1p.f32 -1/2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log1p.f32 -1/2) 2) (+.f32 (pow.f32 (log.f32 x) 2) (*.f32 (log1p.f32 -1/2) (log.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 -1/2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log1p.f32 -1/2) 2) (+.f32 (pow.f32 (log.f32 x) 2) (*.f32 (log.f32 x) (log1p.f32 -1/2)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 -1/2) 3) (pow.f32 (log.f32 x) 3)) (+.f32 (pow.f32 (log1p.f32 -1/2) 2) (*.f32 (log.f32 x) (+.f32 (log1p.f32 -1/2) (log.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 -1/2) 3) (pow.f32 (log.f32 x) 3)) (fma.f32 (log.f32 x) (+.f32 (log.f32 x) (log1p.f32 -1/2)) (pow.f32 (log1p.f32 -1/2) 2)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 -1/2) 2) (pow.f32 (log.f32 x) 2)) (log.f32 (*.f32 1/2 x)))
(pow.f32 (log.f32 (/.f32 1/2 x)) 1)
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x))) 3)
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2) 1/2)
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3) 1/3)
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x))) 2)
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(pow.f32 (E.f32) (log.f32 (log.f32 (/.f32 1/2 x))))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log.f32 (/.f32 1/2 x)))) 2)) (cbrt.f32 (log.f32 (log.f32 (/.f32 1/2 x)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log.f32 (/.f32 1/2 x))))) (sqrt.f32 (log.f32 (log.f32 (/.f32 1/2 x)))))
(neg.f32 (log.f32 (*.f32 x 2)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(neg.f32 (log.f32 (/.f32 (*.f32 x 2) 1)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 2))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(fabs.f32 (log.f32 (/.f32 1/2 x)))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 x)) 3))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 x))))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(exp.f32 (log.f32 (log.f32 (/.f32 1/2 x))))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (log.f32 (/.f32 1/2 x)))) 3))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (log.f32 (/.f32 1/2 x)))) 1/3))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log.f32 (/.f32 1/2 x)))) 2))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 x)))
(log.f32 (/.f32 1/2 x))
(log1p.f32 (-.f32 (/.f32 1/2 x) 1))
(log1p.f32 (+.f32 (/.f32 1/2 x) -1))
(log1p.f32 (+.f32 -1 (/.f32 1/2 x)))
(fma.f32 1 (log1p.f32 -1/2) (neg.f32 (log.f32 x)))
(-.f32 (log1p.f32 -1/2) (log.f32 x))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 -1/2)) 2) (cbrt.f32 (log1p.f32 -1/2)) (neg.f32 (log.f32 x)))
(-.f32 (log1p.f32 -1/2) (log.f32 x))
(fma.f32 (sqrt.f32 (log1p.f32 -1/2)) (sqrt.f32 (log1p.f32 -1/2)) (neg.f32 (log.f32 x)))
(-.f32 (log1p.f32 -1/2) (log.f32 x))

eval57.0ms (1.1%)

Compiler

Compiled 1627 to 1325 computations (18.6% saved)

prune26.0ms (0.5%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New1400140
Fresh000
Picked022
Done077
Total1409149
Accuracy
100.0%
Counts
149 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.1%
(pow.f32 101/96 2)
98.0%
(-.f32 0 (log.f32 (/.f32 1/2 x)))
9.1%
(-.f32 0 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
37.7%
(+.f32 (log.f32 x) -2)
98.9%
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
49.9%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
97.6%
(log.f32 (+.f32 x x))
23.8%
835/192
21.1%
10201/9216
Compiler

Compiled 124 to 92 computations (25.8% saved)

regimes21.0ms (0.4%)

Counts
12 → 1
Calls
Call 1
Inputs
10201/9216
835/192
(pow.f32 101/96 2)
(log.f32 (+.f32 x x))
(+.f32 (log.f32 x) -2)
(log.f32 (+.f32 -2 (+.f32 x -2)))
(-.f32 0 (log.f32 (/.f32 1/2 x)))
(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))))
(-.f32 0 (log.f32 (-.f32 x (sqrt.f32 (fma.f32 x x -1)))))
(pow.f32 (sqrt.f32 (log.f32 (+.f32 x (sqrt.f32 (fma.f32 x x -1))))) 2)
Outputs
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
Calls

3 calls:

8.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1)))
7.0ms
x
5.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
Results
AccuracySegmentsBranch
98.9%1x
98.9%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) 1))))
98.9%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
10201/9216
835/192
(pow.f32 101/96 2)
(log.f32 (+.f32 x x))
(+.f32 (log.f32 x) -2)
(log.f32 (+.f32 -2 (+.f32 x -2)))
(-.f32 0 (log.f32 (/.f32 1/2 x)))
Outputs
(-.f32 0 (log.f32 (/.f32 1/2 x)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
10201/9216
835/192
(pow.f32 101/96 2)
(log.f32 (+.f32 x x))
(+.f32 (log.f32 x) -2)
(log.f32 (+.f32 -2 (+.f32 x -2)))
Outputs
(log.f32 (+.f32 x x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
97.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
10201/9216
835/192
(pow.f32 101/96 2)
Outputs
835/192
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
23.8%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
10201/9216
Outputs
10201/9216
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
21.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
sub-neg
neg-mul-1
*-commutative
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01869
12369
23169
33669
43969
54069
Stop Event
done
saturated
Calls
Call 1
Inputs
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(-.f32 0 (log.f32 (/.f32 1/2 x)))
(log.f32 (+.f32 x x))
835/192
10201/9216
Outputs
(log.f32 (+.f32 x (-.f32 x (/.f32 1/2 x))))
(-.f32 0 (log.f32 (/.f32 1/2 x)))
(neg.f32 (log.f32 (/.f32 1/2 x)))
(log.f32 (+.f32 x x))
835/192
10201/9216
Compiler

Compiled 24 to 18 computations (25% saved)

soundness955.0ms (17.8%)

Rules
1070×log1p-expm1-u
802×log1p-expm1-u
802×expm1-log1p-u
693×log1p-expm1-u
693×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074914015
1182413538
2662113536
01294
115594
2205794
07226854
129416854
01975
116975
2215175
07226854
129416854
025211
1368190
25151190
Stop Event
node limit
unsound
node limit
unsound
node limit
node limit
Compiler

Compiled 278 to 182 computations (34.5% saved)

end0.0ms (0%)

preprocess47.0ms (0.9%)

Compiler

Compiled 86 to 62 computations (27.9% saved)

Profiling

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