Rust f64::acosh

Time bar (total: 3.2s)

analyze0.0ms (0%)

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

Compiled 6 to 4 computations (33.3% saved)

sample765.0ms (24.2%)

Results
755.0ms8256×body256valid
Bogosity

preprocess16.0ms (0.5%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(acosh.f64 x)
Outputs
(acosh.f64 x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify157.0ms (5%)

Algorithm
egg-herbie
Rules
1668×fma-neg
1246×unsub-neg
1016×sub-neg
834×distribute-neg-in
720×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
12123
22523
34023
48123
515723
636623
776423
8258723
9453123
10585623
11654323
12685023
13704023
14714523
15746523
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

eval1.0ms (0%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Accurracy
50.4%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
50.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 20 to 14 computations (30% saved)

localize40.0ms (1.3%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
99.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
52.4%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
1.0ms
x
@0
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms
x
@-inf
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms
x
@inf
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.0ms
x
@0
(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite86.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
940×fma-def
902×log-prod
770×prod-exp
618×pow-prod-down
496×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01055
121455
2291555
Stop Event
node limit
Counts
3 → 153
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Outputs
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (E.f64))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)) 1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) x)

simplify90.0ms (2.8%)

Algorithm
egg-herbie
Rules
896×times-frac
890×distribute-rgt-in
886×distribute-lft-in
626×associate-+r+
580×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04376303
110386067
229805743
Stop Event
node limit
Counts
189 → 283
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (E.f64))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)) 1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) x)
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (/.f64 (*.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (-.f64 (/.f64 -1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 x (+.f64 (/.f64 -1/2 x) (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 (/.f64 1/4 x) x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 (/.f64 1/4 x) x))) (/.f64 -3/32 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4)))) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 -1/2)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
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(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)) x)

eval101.0ms (3.2%)

Compiler

Compiled 4762 to 3471 computations (27.1% saved)

prune39.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2794283
Fresh000
Picked011
Done000
Total2795284
Accurracy
100.0%
Counts
284 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(+.f64 (log.f64 2) (log.f64 x))
50.4%
(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
99.3%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
50.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.9%
(log.f64 (+.f64 x x))
98.9%
(+.f64 (log.f64 2) (log.f64 x))
50.4%
(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
99.3%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
50.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.9%
(log.f64 (+.f64 x x))
Compiler

Compiled 82 to 58 computations (29.3% saved)

localize122.0ms (3.9%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
99.7%
(+.f64 (log.f64 2) (log.f64 x))
100.0%
(+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2))
99.6%
(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
99.5%
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
50.9%
(cbrt.f64 (fma.f64 x x -1))
100.0%
(+.f64 x (-.f64 x (/.f64 1/2 x)))
99.6%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
99.6%
(log.f64 (+.f64 x x))
Compiler

Compiled 84 to 51 computations (39.3% saved)

series102.0ms (3.2%)

Counts
8 → 64
Calls

24 calls:

TimeVariablePointExpression
24.0ms
x
@-inf
(+.f64 (log.f64 2) (log.f64 x))
20.0ms
x
@0
(log.f64 (+.f64 x x))
19.0ms
x
@0
(+.f64 (log.f64 2) (log.f64 x))
16.0ms
x
@-inf
(log.f64 (+.f64 x x))
9.0ms
x
@inf
(log.f64 (+.f64 x x))

rewrite112.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
758×expm1-udef
752×log1p-udef
488×add-sqr-sqrt
468×pow1
466×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023150
1496124
26758124
Stop Event
node limit
Counts
8 → 253
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(cbrt.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
(+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2))
(+.f64 (log.f64 2) (log.f64 x))
Outputs
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2)) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(+.f64 0 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 0 0)) 2))) (log.f64 (+.f64 0 (/.f64 0 0))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))) 1)
(*.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 2 x (/.f64 -1/2 x)) 1))
(-.f64 x (-.f64 (/.f64 0 0) x))
(-.f64 (/.f64 0 0) (/.f64 0 0))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 0 (/.f64 0 0))) (/.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 2) (+.f64 0 (/.f64 0 0))))
(*.f64 (fma.f64 2 x (/.f64 -1/2 x)) 1)
(*.f64 1 (fma.f64 2 x (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(*.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 0 0)) 2)) (/.f64 1 (+.f64 0 (/.f64 0 0))))
(*.f64 (+.f64 (/.f64 0 0) (/.f64 0 0)) (fma.f64 2 x (/.f64 -1/2 x)))
(/.f64 (fma.f64 2 x (/.f64 -1/2 x)) (+.f64 (/.f64 0 0) (+.f64 (/.f64 0 0) (/.f64 0 0))))
(/.f64 (fma.f64 2 x (/.f64 -1/2 x)) (+.f64 (/.f64 0 0) (/.f64 0 0)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x))) (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 0 (/.f64 0 0)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 0 0)) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 2) (-.f64 (*.f64 x x) (*.f64 x (-.f64 x (/.f64 0 0))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 0 0)) 2)) (+.f64 0 (/.f64 0 0)))
(/.f64 (-.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) x) (*.f64 (fma.f64 x x 0) 1/2)) (*.f64 (fma.f64 x x 0) x))
(/.f64 (-.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 0 0)) (*.f64 (fma.f64 x x 0) 1)) (*.f64 2 (pow.f64 x 3)))
(/.f64 (-.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (fma.f64 x x 0) -1/2)) (*.f64 (fma.f64 x x 0) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 0 x) 0) (*.f64 0 x))
(/.f64 (-.f64 (*.f64 0 (/.f64 0 0)) 0) (*.f64 0 (/.f64 0 0)))
(/.f64 (-.f64 (*.f64 0 (neg.f64 x)) 0) (*.f64 0 (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x (/.f64 0 0)) 2))) (neg.f64 (+.f64 0 (/.f64 0 0))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 2) (*.f64 x x)) (-.f64 (-.f64 x (/.f64 0 0)) x))
(pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(exp.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(log1p.f64 (expm1.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(fma.f64 (/.f64 0 0) (/.f64 0 0) (/.f64 -1/2 x))
(fma.f64 2 x (/.f64 -1/2 x))
(fma.f64 1 x (-.f64 x (/.f64 0 0)))
(fma.f64 1 (/.f64 0 0) (/.f64 -1/2 x))
(fma.f64 1 (-.f64 x (/.f64 0 0)) x)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 2)) (cbrt.f64 (-.f64 x (/.f64 0 0))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 x (/.f64 0 0)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 0 0))) (sqrt.f64 (-.f64 x (/.f64 0 0))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (/.f64 0 0)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (fma.f64 x x -1) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x x -1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 1 3/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3/2))
(sqrt.f64 (fma.f64 x x -1))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 9/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 9/2) (pow.f64 x 3))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 9/2) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 9/2) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 9/2) (pow.f64 x 3)) (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 9/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 9/2) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2)) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(log.f64 (/.f64 0 0))
(log.f64 (+.f64 1 (-.f64 (/.f64 0 0) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))

simplify130.0ms (4.1%)

Algorithm
egg-herbie
Rules
136×sqr-pow
132×*-commutative
118×+-commutative
110×sub-neg
50×fma-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05805271
119685271
Stop Event
unsound
Counts
317 → 327
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 -1/2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (*.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (sqrt.f64 -1) (*.f64 (-.f64 1/8 (*.f64 1/4 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6)))) (pow.f64 x 4))) (*.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (sqrt.f64 -1) (*.f64 (-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) (*.f64 1/480 (-.f64 (*.f64 640/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 9))) (*.f64 80/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6)))))) 1/48) (pow.f64 x 6))) (+.f64 (*.f64 (sqrt.f64 -1) (*.f64 (-.f64 1/8 (*.f64 1/4 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6)))) (pow.f64 x 4))) (*.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(log.f64 (pow.f64 (cbrt.f64 -1) 3/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 3/2)) (*.f64 (sqrt.f64 -1) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 3/2)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 2))) (*.f64 (sqrt.f64 -1) x)))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (sqrt.f64 -1)) (*.f64 2 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 9))))) (pow.f64 x 3))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 3/2)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 2))) (*.f64 (sqrt.f64 -1) x))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(sqrt.f64 -1)
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(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 9/2) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 9/2) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 9/2) (pow.f64 x 3)) (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 9/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (-.f64 (*.f64 x x) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 9/2) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2)) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(neg.f64 (log.f64 (/.f64 0 0)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(log.f64 (/.f64 0 0))
(log.f64 (+.f64 1 (-.f64 (/.f64 0 0) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log1p.f64 (-.f64 (/.f64 0 0) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
Outputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -2)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -2)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -2)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -2)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
-2
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
-2
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
-2
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
-2
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
-2
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 -2 (fma.f64 -4 (*.f64 x x) -2))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (fma.f64 -4 (*.f64 x x) -2) (fma.f64 -8 (*.f64 x x) -2))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (fma.f64 -4 (*.f64 x x) -2) (fma.f64 -8 (*.f64 x x) (fma.f64 -64/3 (*.f64 x x) -2)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 -2 (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1/32 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 -2 (+.f64 (+.f64 (/.f64 1/32 (*.f64 x x)) (/.f64 1/192 (*.f64 x x))) (/.f64 -2 (*.f64 x x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
-2
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 -2 (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1/32 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 -2 (+.f64 (+.f64 (/.f64 1/32 (*.f64 x x)) (/.f64 1/192 (*.f64 x x))) (/.f64 -2 (*.f64 x x))))
(/.f64 -1/2 x)
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(*.f64 2 x)
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(*.f64 2 x)
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
-2
(cbrt.f64 -1)
-2
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 -2 (*.f64 1/3 (/.f64 x -2)))
(+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 -2 (fma.f64 1/3 (/.f64 x -2) (*.f64 (/.f64 x -2) -1/9)))
(+.f64 (*.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
(fma.f64 5/81 (/.f64 x -2) (+.f64 -2 (fma.f64 1/3 (/.f64 x -2) (*.f64 (/.f64 x -2) -1/9))))
(sqrt.f64 -1)
-2
(+.f64 (sqrt.f64 -1) (*.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 -2 (*.f64 -2 (*.f64 x x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (sqrt.f64 -1) (*.f64 (-.f64 1/8 (*.f64 1/4 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6)))) (pow.f64 x 4))) (*.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 -2 (+.f64 (*.f64 -2 (*.f64 x x)) (*.f64 -2 (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (sqrt.f64 -1) (*.f64 (-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) (*.f64 1/480 (-.f64 (*.f64 640/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 9))) (*.f64 80/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6)))))) 1/48) (pow.f64 x 6))) (+.f64 (*.f64 (sqrt.f64 -1) (*.f64 (-.f64 1/8 (*.f64 1/4 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6)))) (pow.f64 x 4))) (*.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 -2 (*.f64 479/432 (*.f64 x x))) (+.f64 (*.f64 -2 (*.f64 x x)) (*.f64 -2 (*.f64 x x))))
(log.f64 (pow.f64 (cbrt.f64 -1) 3/2))
-2
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 3/2)) (*.f64 (sqrt.f64 -1) x))
-2
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 3/2)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 2))) (*.f64 (sqrt.f64 -1) x)))
(+.f64 -2 (+.f64 -2 (*.f64 -2 (*.f64 x x))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (sqrt.f64 -1)) (*.f64 2 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 9))))) (pow.f64 x 3))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 3/2)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 2))) (*.f64 (sqrt.f64 -1) x))))
(+.f64 (+.f64 (*.f64 -1/3 (*.f64 x x)) -2) (+.f64 -2 (*.f64 -2 (*.f64 x x))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
-2
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
-2
(sqrt.f64 -1)
-2
(+.f64 (sqrt.f64 -1) x)
(+.f64 x -2)
(+.f64 (sqrt.f64 -1) (+.f64 x (*.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (+.f64 x -2) (*.f64 -2 (*.f64 x x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (sqrt.f64 -1) (*.f64 (-.f64 1/8 (*.f64 1/4 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6)))) (pow.f64 x 4))) (+.f64 x (*.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 -2 (+.f64 (+.f64 x (*.f64 -2 (*.f64 x x))) (*.f64 -2 (*.f64 x x))))
x
x
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-2
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
-2
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
-2
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
-2
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
-2
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
-2
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 x) -2)
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 x) -2)
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
-2
(+.f64 0 (log.f64 (/.f64 0 0)))
-2
(-.f64 (log.f64 0) (log.f64 0))
-2
(-.f64 (log.f64 1/2) (log.f64 x))
-2
(-.f64 0 (log.f64 (/.f64 0 0)))
-2
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (+.f64 -2 (log.f64 (*.f64 x x))) (log.f64 (fma.f64 x x -2)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
-2
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
-2
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(-.f64 -2 (/.f64 (pow.f64 (log.f64 x) -2) -2))
(*.f64 (log.f64 (/.f64 0 0)) 1)
-2
(*.f64 1 (log.f64 (/.f64 0 0)))
-2
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2)))
-2
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(fma.f64 1 (log.f64 x) (log.f64 2))
-2
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 x) -2)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) -2) (cbrt.f64 (log.f64 x)) -2)
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 x) -2)
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) -2)

eval163.0ms (5.1%)

Compiler

Compiled 4709 to 3496 computations (25.8% saved)

prune48.0ms (1.5%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New3234327
Fresh000
Picked044
Done011
Total3239332
Accurracy
100.0%
Counts
332 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.6%
(-.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1/32 (*.f64 x x))))
98.9%
(+.f64 (log.f64 2) (log.f64 x))
0.1%
(log.f64 (fma.f64 -2 (+.f64 x -2) x))
50.4%
(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
99.3%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
50.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.9%
(log.f64 (+.f64 x x))
31.4%
(log.f64 x)
1.6%
-2
1.6%
(-.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1/32 (*.f64 x x))))
98.9%
(+.f64 (log.f64 2) (log.f64 x))
0.1%
(log.f64 (fma.f64 -2 (+.f64 x -2) x))
50.4%
(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
99.3%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
50.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.9%
(log.f64 (+.f64 x x))
31.4%
(log.f64 x)
1.6%
-2
Compiler

Compiled 136 to 96 computations (29.4% saved)

localize110.0ms (3.5%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1/32 (*.f64 x x))))
Compiler

Compiled 63 to 34 computations (46% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1/32 (*.f64 x x))))
0.0ms
x
@inf
(-.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1/32 (*.f64 x x))))
0.0ms
x
@-inf
(-.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1/32 (*.f64 x x))))

rewrite86.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1062×log-prod
876×fma-def
714×pow-prod-down
590×log-div
542×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
124419
2370119
Stop Event
node limit
Counts
1 → 71
Calls
Call 1
Inputs
(-.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1/32 (*.f64 x x))))
Outputs
(+.f64 -2 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)))
(+.f64 -2 (*.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)) 1))
(+.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)) -2)
(+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (neg.f64 (*.f64 1/32 (pow.f64 x -2))))
(+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 -1/32 (pow.f64 x -2)))
(+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 -1 (*.f64 1/32 (pow.f64 x -2))))
(+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4)))) (cbrt.f64 (*.f64 1/32 (pow.f64 x -2)))))
(+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/32) x)) (/.f64 (sqrt.f64 1/32) x)))
(+.f64 0 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))) (cbrt.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))))
(*.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)) 1)
(*.f64 1 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))
(*.f64 (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) (pow.f64 (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) 2) (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))
(*.f64 (sqrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) (sqrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))
(*.f64 (-.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 3)) (/.f64 1 (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4)))
(*.f64 (-.f64 4 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 2)) (/.f64 1 (fma.f64 (pow.f64 x -2) -63/32 -2)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4) (-.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 3))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x -2) -63/32 -2) (-.f64 4 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 2))))
(/.f64 (-.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 3)) (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4))
(/.f64 (-.f64 4 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 2)) (fma.f64 (pow.f64 x -2) -63/32 -2))
(/.f64 (neg.f64 (-.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 3))) (neg.f64 (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4)))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 2))) (neg.f64 (fma.f64 (pow.f64 x -2) -63/32 -2)))
(/.f64 (+.f64 -8 (pow.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)) 3)) (+.f64 4 (-.f64 (pow.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)) 2) (*.f64 -2 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) 3) (/.f64 1/32768 (pow.f64 x 6))) (+.f64 (pow.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) 2) (fma.f64 1/1024 (pow.f64 x -4) (*.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 1/32 (pow.f64 x -2))))))
(/.f64 (-.f64 4 (pow.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)) 2)) (-.f64 -2 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) 2) (/.f64 1/1024 (pow.f64 x 4))) (+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 1/32 (pow.f64 x -2))))
(pow.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)) 1)
(pow.f64 (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) 3)
(pow.f64 (pow.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4) (-.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 3))) -1)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x -2) -63/32 -2) (-.f64 4 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)) 2))
(log.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))))
(log.f64 (/.f64 (exp.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (+.f64 1 (expm1.f64 (*.f64 1/32 (pow.f64 x -2))))))
(cbrt.f64 (pow.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)) 3))
(expm1.f64 (log1p.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))
(exp.f64 (log.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))
(exp.f64 (*.f64 (log.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))) 2))
(log1p.f64 (expm1.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))
(fma.f64 1 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)) -2)
(fma.f64 1 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (neg.f64 (*.f64 1/32 (pow.f64 x -2))))
(fma.f64 1 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 -1/32 (pow.f64 x -2)))
(fma.f64 1 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 -1 (*.f64 1/32 (pow.f64 x -2))))
(fma.f64 1 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4)))) (cbrt.f64 (*.f64 1/32 (pow.f64 x -2)))))
(fma.f64 1 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/32) x)) (/.f64 (sqrt.f64 1/32) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -63/32)) 2) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -63/32))) -2)
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -63/32)) (neg.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -63/32))) -2)
(fma.f64 (*.f64 (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (neg.f64 (*.f64 1/32 (pow.f64 x -2))))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 -1/32 (pow.f64 x -2)))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 -1 (*.f64 1/32 (pow.f64 x -2))))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4)))) (cbrt.f64 (*.f64 1/32 (pow.f64 x -2)))))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/32) x)) (/.f64 (sqrt.f64 1/32) x)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))) (cbrt.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)))) (cbrt.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))) -2)
(fma.f64 (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (neg.f64 (*.f64 1/32 (pow.f64 x -2))))
(fma.f64 (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 -1/32 (pow.f64 x -2)))
(fma.f64 (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 -1 (*.f64 1/32 (pow.f64 x -2))))
(fma.f64 (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4)))) (cbrt.f64 (*.f64 1/32 (pow.f64 x -2)))))
(fma.f64 (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/32) x)) (/.f64 (sqrt.f64 1/32) x)))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))) (sqrt.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))) -2)
(fma.f64 -1 (*.f64 (pow.f64 x -2) -63/32) -2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -63/32)) 2)) (cbrt.f64 (*.f64 (pow.f64 x -2) -63/32)) -2)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -63/32))) (sqrt.f64 (*.f64 (pow.f64 x -2) -63/32)) -2)

simplify81.0ms (2.6%)

Algorithm
egg-herbie
Rules
1406×div-sub
1038×fma-neg
996×fma-def
440×exp-prod
404×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01932631
14602247
213622087
354452007
Stop Event
node limit
Counts
83 → 102
Calls
Call 1
Inputs
(/.f64 63/32 (pow.f64 x 2))
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
-2
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
-2
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(+.f64 -2 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)))
(+.f64 -2 (*.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)) 1))
(+.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)) -2)
(+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (neg.f64 (*.f64 1/32 (pow.f64 x -2))))
(+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 -1/32 (pow.f64 x -2)))
(+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 -1 (*.f64 1/32 (pow.f64 x -2))))
(+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4)))) (cbrt.f64 (*.f64 1/32 (pow.f64 x -2)))))
(+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/32) x)) (/.f64 (sqrt.f64 1/32) x)))
(+.f64 0 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))) (cbrt.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))))
(*.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)) 1)
(*.f64 1 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))
(*.f64 (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) (pow.f64 (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) 2) (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))
(*.f64 (sqrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) (sqrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))
(*.f64 (-.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 3)) (/.f64 1 (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4)))
(*.f64 (-.f64 4 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 2)) (/.f64 1 (fma.f64 (pow.f64 x -2) -63/32 -2)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4) (-.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 3))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x -2) -63/32 -2) (-.f64 4 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 2))))
(/.f64 (-.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 3)) (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4))
(/.f64 (-.f64 4 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 2)) (fma.f64 (pow.f64 x -2) -63/32 -2))
(/.f64 (neg.f64 (-.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 3))) (neg.f64 (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4)))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 2))) (neg.f64 (fma.f64 (pow.f64 x -2) -63/32 -2)))
(/.f64 (+.f64 -8 (pow.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)) 3)) (+.f64 4 (-.f64 (pow.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)) 2) (*.f64 -2 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) 3) (/.f64 1/32768 (pow.f64 x 6))) (+.f64 (pow.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) 2) (fma.f64 1/1024 (pow.f64 x -4) (*.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 1/32 (pow.f64 x -2))))))
(/.f64 (-.f64 4 (pow.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)) 2)) (-.f64 -2 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) 2) (/.f64 1/1024 (pow.f64 x 4))) (+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 1/32 (pow.f64 x -2))))
(pow.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)) 1)
(pow.f64 (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) 3)
(pow.f64 (pow.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4) (-.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 3))) -1)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x -2) -63/32 -2) (-.f64 4 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)) 2))
(log.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))))
(log.f64 (/.f64 (exp.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (+.f64 1 (expm1.f64 (*.f64 1/32 (pow.f64 x -2))))))
(cbrt.f64 (pow.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)) 3))
(expm1.f64 (log1p.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))
(exp.f64 (log.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))
(exp.f64 (*.f64 (log.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))) 2))
(log1p.f64 (expm1.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))
(fma.f64 1 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)) -2)
(fma.f64 1 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (neg.f64 (*.f64 1/32 (pow.f64 x -2))))
(fma.f64 1 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 -1/32 (pow.f64 x -2)))
(fma.f64 1 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 -1 (*.f64 1/32 (pow.f64 x -2))))
(fma.f64 1 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4)))) (cbrt.f64 (*.f64 1/32 (pow.f64 x -2)))))
(fma.f64 1 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/32) x)) (/.f64 (sqrt.f64 1/32) x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -63/32)) 2) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -63/32))) -2)
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -63/32)) (neg.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -63/32))) -2)
(fma.f64 (*.f64 (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (neg.f64 (*.f64 1/32 (pow.f64 x -2))))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 -1/32 (pow.f64 x -2)))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 -1 (*.f64 1/32 (pow.f64 x -2))))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4)))) (cbrt.f64 (*.f64 1/32 (pow.f64 x -2)))))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))))) (cbrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/32) x)) (/.f64 (sqrt.f64 1/32) x)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))) (cbrt.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)))) (cbrt.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))) -2)
(fma.f64 (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (neg.f64 (*.f64 1/32 (pow.f64 x -2))))
(fma.f64 (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 -1/32 (pow.f64 x -2)))
(fma.f64 (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 -1 (*.f64 1/32 (pow.f64 x -2))))
(fma.f64 (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4)))) (cbrt.f64 (*.f64 1/32 (pow.f64 x -2)))))
(fma.f64 (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/32) x)) (/.f64 (sqrt.f64 1/32) x)))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))) (sqrt.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))) -2)
(fma.f64 -1 (*.f64 (pow.f64 x -2) -63/32) -2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -63/32)) 2)) (cbrt.f64 (*.f64 (pow.f64 x -2) -63/32)) -2)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -63/32))) (sqrt.f64 (*.f64 (pow.f64 x -2) -63/32)) -2)
Outputs
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (*.f64 x x))
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(+.f64 (/.f64 63/32 (*.f64 x x)) -2)
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(+.f64 (/.f64 63/32 (*.f64 x x)) -2)
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(+.f64 (/.f64 63/32 (*.f64 x x)) -2)
-2
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(+.f64 (/.f64 63/32 (*.f64 x x)) -2)
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(+.f64 (/.f64 63/32 (*.f64 x x)) -2)
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(+.f64 (/.f64 63/32 (*.f64 x x)) -2)
-2
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(+.f64 (/.f64 63/32 (*.f64 x x)) -2)
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(+.f64 (/.f64 63/32 (*.f64 x x)) -2)
(-.f64 (*.f64 63/32 (/.f64 1 (pow.f64 x 2))) 2)
(+.f64 (/.f64 63/32 (*.f64 x x)) -2)
(+.f64 -2 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)))
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(+.f64 -2 (*.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)) 1))
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(+.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)) -2)
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (neg.f64 (*.f64 1/32 (pow.f64 x -2))))
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 -1/32 (pow.f64 x -2)))
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 -1 (*.f64 1/32 (pow.f64 x -2))))
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4)))) (cbrt.f64 (*.f64 1/32 (pow.f64 x -2)))))
(+.f64 (+.f64 -2 (*.f64 2 (pow.f64 x -2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4)))) (cbrt.f64 (*.f64 (pow.f64 x -2) 1/32))))
(-.f64 -2 (+.f64 (*.f64 -2 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) 1/32)))))
(-.f64 -2 (fma.f64 -2 (pow.f64 x -2) (*.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) 1/32)))))
(+.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2))) (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/32) x)) (/.f64 (sqrt.f64 1/32) x)))
(+.f64 (+.f64 -2 (*.f64 2 (pow.f64 x -2))) (*.f64 (/.f64 (sqrt.f64 1/32) x) (neg.f64 (/.f64 (sqrt.f64 1/32) x))))
(-.f64 (+.f64 -2 (*.f64 2 (pow.f64 x -2))) (*.f64 (/.f64 (sqrt.f64 1/32) x) (/.f64 (sqrt.f64 1/32) x)))
(-.f64 (fma.f64 2 (pow.f64 x -2) -2) (*.f64 (/.f64 (sqrt.f64 1/32) x) (/.f64 (sqrt.f64 1/32) x)))
(+.f64 -2 (fma.f64 2 (pow.f64 x -2) (/.f64 -1/32 (*.f64 x x))))
(+.f64 0 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))) (cbrt.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -2 (*.f64 (pow.f64 x -2) 63/32)))) (cbrt.f64 (exp.f64 (+.f64 -2 (*.f64 (pow.f64 x -2) 63/32)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x -2) 63/32 -2))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x -2) 63/32 -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 63/32 (pow.f64 x -2) -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))))
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(*.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)) 1)
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(*.f64 1 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32)))
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(*.f64 (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) (pow.f64 (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) 2))
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) 2) (cbrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(*.f64 (sqrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))) (sqrt.f64 (-.f64 -2 (*.f64 (pow.f64 x -2) -63/32))))
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(*.f64 (-.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 3)) (/.f64 1 (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4)))
(*.f64 (+.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) 63/32) 3)) (/.f64 1 (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4)))
(/.f64 (+.f64 -8 (*.f64 (pow.f64 (pow.f64 x -2) 3) 250047/32768)) (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x -2) 3) 250047/32768 -8) (fma.f64 (pow.f64 x -4) 3969/1024 (fma.f64 63/16 (pow.f64 x -2) 4)))
(/.f64 (fma.f64 (pow.f64 (/.f64 1 x) 6) 250047/32768 -8) (fma.f64 (pow.f64 x -4) 3969/1024 (fma.f64 63/16 (pow.f64 x -2) 4)))
(*.f64 (-.f64 4 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 2)) (/.f64 1 (fma.f64 (pow.f64 x -2) -63/32 -2)))
(/.f64 (-.f64 4 (*.f64 (pow.f64 x -4) 3969/1024)) (fma.f64 (pow.f64 x -2) -63/32 -2))
(/.f64 (+.f64 4 (*.f64 (pow.f64 x -4) -3969/1024)) (fma.f64 (pow.f64 x -2) -63/32 -2))
(/.f64 (fma.f64 (pow.f64 x -4) 3969/1024 -4) (fma.f64 63/32 (pow.f64 x -2) 2))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4) (-.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 3))))
(*.f64 (+.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) 63/32) 3)) (/.f64 1 (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4)))
(/.f64 (+.f64 -8 (*.f64 (pow.f64 (pow.f64 x -2) 3) 250047/32768)) (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x -2) 3) 250047/32768 -8) (fma.f64 (pow.f64 x -4) 3969/1024 (fma.f64 63/16 (pow.f64 x -2) 4)))
(/.f64 (fma.f64 (pow.f64 (/.f64 1 x) 6) 250047/32768 -8) (fma.f64 (pow.f64 x -4) 3969/1024 (fma.f64 63/16 (pow.f64 x -2) 4)))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x -2) -63/32 -2) (-.f64 4 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 2))))
(*.f64 (-.f64 4 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 2)) (/.f64 1 (fma.f64 (pow.f64 x -2) -63/32 -2)))
(/.f64 (-.f64 4 (*.f64 (pow.f64 x -4) 3969/1024)) (fma.f64 (pow.f64 x -2) -63/32 -2))
(/.f64 (+.f64 4 (*.f64 (pow.f64 x -4) -3969/1024)) (fma.f64 (pow.f64 x -2) -63/32 -2))
(/.f64 (fma.f64 (pow.f64 x -4) 3969/1024 -4) (fma.f64 63/32 (pow.f64 x -2) 2))
(/.f64 (-.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) -63/32) 3)) (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4))
(*.f64 (+.f64 -8 (pow.f64 (*.f64 (pow.f64 x -2) 63/32) 3)) (/.f64 1 (fma.f64 (*.f64 (pow.f64 x -2) -63/32) (fma.f64 (pow.f64 x -2) -63/32 -2) 4)))
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(-.f64 (+.f64 -2 (*.f64 2 (pow.f64 x -2))) (*.f64 (/.f64 (sqrt.f64 1/32) x) (/.f64 (sqrt.f64 1/32) x)))
(-.f64 (fma.f64 2 (pow.f64 x -2) -2) (*.f64 (/.f64 (sqrt.f64 1/32) x) (/.f64 (sqrt.f64 1/32) x)))
(+.f64 -2 (fma.f64 2 (pow.f64 x -2) (/.f64 -1/32 (*.f64 x x))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))) (cbrt.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32)))) (cbrt.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))) -2)
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(fma.f64 (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (neg.f64 (*.f64 1/32 (pow.f64 x -2))))
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(fma.f64 (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 -1/32 (pow.f64 x -2)))
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(fma.f64 (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 -1 (*.f64 1/32 (pow.f64 x -2))))
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(fma.f64 (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4)))) (cbrt.f64 (*.f64 1/32 (pow.f64 x -2)))))
(+.f64 (+.f64 -2 (*.f64 2 (pow.f64 x -2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4)))) (cbrt.f64 (*.f64 (pow.f64 x -2) 1/32))))
(-.f64 -2 (+.f64 (*.f64 -2 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) 1/32)))))
(-.f64 -2 (fma.f64 -2 (pow.f64 x -2) (*.f64 (cbrt.f64 (/.f64 1/1024 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) 1/32)))))
(fma.f64 (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (sqrt.f64 (-.f64 -2 (*.f64 -2 (pow.f64 x -2)))) (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/32) x)) (/.f64 (sqrt.f64 1/32) x)))
(+.f64 (+.f64 -2 (*.f64 2 (pow.f64 x -2))) (*.f64 (/.f64 (sqrt.f64 1/32) x) (neg.f64 (/.f64 (sqrt.f64 1/32) x))))
(-.f64 (+.f64 -2 (*.f64 2 (pow.f64 x -2))) (*.f64 (/.f64 (sqrt.f64 1/32) x) (/.f64 (sqrt.f64 1/32) x)))
(-.f64 (fma.f64 2 (pow.f64 x -2) -2) (*.f64 (/.f64 (sqrt.f64 1/32) x) (/.f64 (sqrt.f64 1/32) x)))
(+.f64 -2 (fma.f64 2 (pow.f64 x -2) (/.f64 -1/32 (*.f64 x x))))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))) (sqrt.f64 (neg.f64 (*.f64 (pow.f64 x -2) -63/32))) -2)
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(fma.f64 -1 (*.f64 (pow.f64 x -2) -63/32) -2)
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -63/32)) 2)) (cbrt.f64 (*.f64 (pow.f64 x -2) -63/32)) -2)
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) -63/32))) (sqrt.f64 (*.f64 (pow.f64 x -2) -63/32)) -2)
(+.f64 -2 (*.f64 (pow.f64 x -2) 63/32))
(fma.f64 (pow.f64 x -2) 63/32 -2)
(fma.f64 63/32 (pow.f64 x -2) -2)

eval69.0ms (2.2%)

Compiler

Compiled 1840 to 1603 computations (12.9% saved)

prune16.0ms (0.5%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New1011102
Fresh011
Picked123
Done055
Total1029111
Accurracy
100.0%
Counts
111 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.2%
(/.f64 63/32 (*.f64 x x))
98.9%
(+.f64 (log.f64 2) (log.f64 x))
0.1%
(log.f64 (fma.f64 -2 (+.f64 x -2) x))
50.4%
(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
99.3%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
50.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.9%
(log.f64 (+.f64 x x))
31.4%
(log.f64 x)
1.6%
-2
4.2%
(/.f64 63/32 (*.f64 x x))
98.9%
(+.f64 (log.f64 2) (log.f64 x))
0.1%
(log.f64 (fma.f64 -2 (+.f64 x -2) x))
50.4%
(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
99.3%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
50.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.9%
(log.f64 (+.f64 x x))
31.4%
(log.f64 x)
1.6%
-2
Compiler

Compiled 120 to 86 computations (28.3% saved)

localize30.0ms (0.9%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
98.7%
(/.f64 63/32 (*.f64 x x))
Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 63/32 (*.f64 x x))
0.0ms
x
@inf
(/.f64 63/32 (*.f64 x x))
0.0ms
x
@-inf
(/.f64 63/32 (*.f64 x x))

rewrite52.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1190×pow1
1114×add-exp-log
1114×log1p-expm1-u
1114×expm1-log1p-u
1090×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112913
2156013
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 63/32 (*.f64 x x))
Outputs
(-.f64 (+.f64 1 (*.f64 63/32 (pow.f64 x -2))) 1)
(*.f64 63/32 (pow.f64 x -2))
(*.f64 (*.f64 63/32 (pow.f64 x -2)) 1)
(*.f64 1 (*.f64 63/32 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 63/32 (pow.f64 x -2))) (cbrt.f64 (/.f64 3969/1024 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 3969/1024 (pow.f64 x 4))) (cbrt.f64 (*.f64 63/32 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 63/32) x) (/.f64 (sqrt.f64 63/32) x))
(*.f64 -63/32 (/.f64 1 (neg.f64 (*.f64 x x))))
(*.f64 (pow.f64 x -2) 63/32)
(*.f64 (/.f64 63/32 x) (/.f64 1 x))
(pow.f64 (*.f64 63/32 (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 63/32 (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 63/32 (pow.f64 x -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 63/32) x) 2)
(pow.f64 (*.f64 (*.f64 x x) 32/63) -1)
(sqrt.f64 (/.f64 3969/1024 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 63/32) (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (*.f64 63/32 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 63/32 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 63/32 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 63/32 (pow.f64 x -2))))

simplify47.0ms (1.5%)

Algorithm
egg-herbie
Rules
1432×log-prod
1166×distribute-rgt-in
1134×distribute-lft-in
848×associate-*r*
840×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058433
1136433
2432433
32929433
Stop Event
node limit
Counts
33 → 23
Calls
Call 1
Inputs
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 63/32 (pow.f64 x -2))) 1)
(*.f64 63/32 (pow.f64 x -2))
(*.f64 (*.f64 63/32 (pow.f64 x -2)) 1)
(*.f64 1 (*.f64 63/32 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 63/32 (pow.f64 x -2))) (cbrt.f64 (/.f64 3969/1024 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 3969/1024 (pow.f64 x 4))) (cbrt.f64 (*.f64 63/32 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 63/32) x) (/.f64 (sqrt.f64 63/32) x))
(*.f64 -63/32 (/.f64 1 (neg.f64 (*.f64 x x))))
(*.f64 (pow.f64 x -2) 63/32)
(*.f64 (/.f64 63/32 x) (/.f64 1 x))
(pow.f64 (*.f64 63/32 (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 63/32 (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 63/32 (pow.f64 x -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 63/32) x) 2)
(pow.f64 (*.f64 (*.f64 x x) 32/63) -1)
(sqrt.f64 (/.f64 3969/1024 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 63/32) (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (*.f64 63/32 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 63/32 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 63/32 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 63/32 (pow.f64 x -2))))
Outputs
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(/.f64 63/32 (pow.f64 x 2))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(-.f64 (+.f64 1 (*.f64 63/32 (pow.f64 x -2))) 1)
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(*.f64 63/32 (pow.f64 x -2))
(/.f64 63/32 (*.f64 x x))
(*.f64 (*.f64 63/32 (pow.f64 x -2)) 1)
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(*.f64 1 (*.f64 63/32 (pow.f64 x -2)))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 63/32 (pow.f64 x -2))) (cbrt.f64 (/.f64 3969/1024 (pow.f64 x 4))))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(*.f64 (cbrt.f64 (/.f64 3969/1024 (pow.f64 x 4))) (cbrt.f64 (*.f64 63/32 (pow.f64 x -2))))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 63/32) x) (/.f64 (sqrt.f64 63/32) x))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(*.f64 -63/32 (/.f64 1 (neg.f64 (*.f64 x x))))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 63/32)
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(*.f64 (/.f64 63/32 x) (/.f64 1 x))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(pow.f64 (*.f64 63/32 (pow.f64 x -2)) 1)
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 63/32 (pow.f64 x -2))) 3)
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 63/32 (pow.f64 x -2)) 3) 1/3)
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 63/32) x) 2)
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(pow.f64 (*.f64 (*.f64 x x) 32/63) -1)
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(sqrt.f64 (/.f64 3969/1024 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 63/32) (pow.f64 x -2)))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 63/32 (pow.f64 x -2)) 3))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 63/32 (pow.f64 x -2))))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 63/32 (pow.f64 x -2))))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 63/32 (pow.f64 x -2))))
(/.f64 63/32 (*.f64 x x))
(*.f64 63/32 (pow.f64 x -2))

eval5.0ms (0.1%)

Compiler

Compiled 173 to 141 computations (18.5% saved)

prune9.0ms (0.3%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New21223
Fresh011
Picked011
Done077
Total211132
Accurracy
100.0%
Counts
32 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.2%
(/.f64 63/32 (*.f64 x x))
98.9%
(+.f64 (log.f64 2) (log.f64 x))
4.2%
(*.f64 (/.f64 63/32 x) (/.f64 1 x))
4.2%
(*.f64 -63/32 (/.f64 1 (neg.f64 (*.f64 x x))))
0.1%
(log.f64 (fma.f64 -2 (+.f64 x -2) x))
50.4%
(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
99.3%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
50.4%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
98.9%
(log.f64 (+.f64 x x))
31.4%
(log.f64 x)
1.6%
-2
Compiler

Compiled 157 to 106 computations (32.5% saved)

regimes27.0ms (0.9%)

Counts
12 → 1
Calls
Call 1
Inputs
-2
(/.f64 63/32 (*.f64 x x))
(*.f64 (/.f64 63/32 x) (/.f64 1 x))
(*.f64 -63/32 (/.f64 1 (neg.f64 (*.f64 x x))))
(-.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1/32 (*.f64 x x))))
(log.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (fma.f64 -2 (+.f64 x -2) x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
Calls

3 calls:

13.0ms
x
6.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
6.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.3%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 101 to 64 computations (36.6% saved)

regimes6.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
-2
(/.f64 63/32 (*.f64 x x))
(*.f64 (/.f64 63/32 x) (/.f64 1 x))
(*.f64 -63/32 (/.f64 1 (neg.f64 (*.f64 x x))))
(-.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1/32 (*.f64 x x))))
(log.f64 x)
(log.f64 (+.f64 x x))
Outputs
(log.f64 (+.f64 x x))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
Compiler

Compiled 43 to 26 computations (39.5% saved)

regimes6.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
-2
(/.f64 63/32 (*.f64 x x))
(*.f64 (/.f64 63/32 x) (/.f64 1 x))
(*.f64 -63/32 (/.f64 1 (neg.f64 (*.f64 x x))))
(-.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1/32 (*.f64 x x))))
(log.f64 x)
Outputs
(log.f64 x)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
31.4%1x
Compiler

Compiled 39 to 24 computations (38.5% saved)

regimes6.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
-2
(/.f64 63/32 (*.f64 x x))
(*.f64 (/.f64 63/32 x) (/.f64 1 x))
(*.f64 -63/32 (/.f64 1 (neg.f64 (*.f64 x x))))
(-.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1/32 (*.f64 x x))))
Outputs
(*.f64 (/.f64 63/32 x) (/.f64 1 x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
4.2%1x
Compiler

Compiled 37 to 23 computations (37.8% saved)

regimes4.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
-2
(/.f64 63/32 (*.f64 x x))
Outputs
(/.f64 63/32 (*.f64 x x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
4.2%1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-2
Outputs
-2
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
1.6%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify39.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02072
12672
23272
33672
43972
54072
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
(log.f64 x)
(*.f64 (/.f64 63/32 x) (/.f64 1 x))
(/.f64 63/32 (*.f64 x x))
-2
Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
(log.f64 x)
(*.f64 (/.f64 63/32 x) (/.f64 1 x))
(/.f64 63/32 (*.f64 x x))
-2
Compiler

Compiled 33 to 23 computations (30.3% saved)

soundness496.0ms (15.7%)

Rules
1406×div-sub
1190×pow1
1114×add-exp-log
1114×log1p-expm1-u
1114×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04376303
110386067
229805743
05805271
119685271
05805271
119685271
01932631
14602247
213622087
354452007
0613
112913
2156013
01055
121455
2291555
Stop Event
node limit
node limit
node limit
unsound
unsound
node limit
Compiler

Compiled 164 to 112 computations (31.7% saved)

end93.0ms (2.9%)

Compiler

Compiled 102 to 70 computations (31.4% saved)

Profiling

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