Hyperbolic arc-cosine

Details

Time bar (total: 11.4s)

analyze838.0ms (7.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%199.9%-99.9%0%0%0%1
0%0%399.8%-299.8%0%0%0%2
0%0%799.6%-699.6%0%0%0%3
0%0%1599.2%-1499.2%0%0%0%4
0%0%3198.4%-3098.4%0%0%0%5
0%0%6396.9%-6296.9%0%0%0%6
0%0%12793.8%-12693.8%0%0%0%7
0%0%25587.5%-25487.5%0%0%0%8
0%0%51175%-51075%0%0%0%9
0%0%102350%-102250%0%0%0%10
0%0%204700%-204600%0%0%0%11
0%0%409400%-409300%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample7.9s (69.4%)

Results
2.4s17051×body256invalid
2.4s4066×body2048invalid
1.9s8256×body256valid
845.0ms2004×body1024invalid
193.0ms1047×body512invalid
Bogosity

preprocess163.0ms (1.4%)

Algorithm
2×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
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
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))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify160.0ms (1.4%)

Algorithm
1×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
1×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
54.6%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶54.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 20 to 14 computations (30% saved)

localize84.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(-.f64 (*.f64 x x) 1)
✓100.0%
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓99.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓56.4%
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite111.0ms (1%)

Algorithm
1×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
01064
121464
2291564
Stop Event
1×node limit
Counts
4 → 221
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)))
(-.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)
(+.f64 (*.f64 x x) -1)
(+.f64 0 (fma.f64 x x -1))
(+.f64 -1 (*.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 1 (fma.f64 x x -1))
(*.f64 (fma.f64 x x -1) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 3/4))
(*.f64 (+.f64 (pow.f64 x 6) -1) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (+.f64 x 1) (+.f64 x -1))
(*.f64 (+.f64 x -1) (+.f64 x 1))
(*.f64 (pow.f64 (fma.f64 x x -1) 3/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (fma.f64 x x -1) 5/6) (pow.f64 (fma.f64 x x -1) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (*.f64 x x) -1))))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 6)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 2/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)) -1)
(pow.f64 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(expm1.f64 (*.f64 2 (log.f64 x)))
(expm1.f64 (*.f64 (log.f64 x) 2))
(expm1.f64 (*.f64 (*.f64 2 (log.f64 x)) 1))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 x x -1))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 (*.f64 x x) 1 -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -1)

simplify133.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1054×fma-neg
662×cancel-sign-sub-inv
658×sqr-pow
630×log-prod
486×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05597503
112907175
239736851
Stop Event
1×node limit
Counts
269 → 356
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))))))
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(+.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))
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(*.f64 (+.f64 x -1) (+.f64 x 1))
(*.f64 (pow.f64 (fma.f64 x x -1) 3/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (fma.f64 x x -1) 5/6) (pow.f64 (fma.f64 x x -1) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (*.f64 x x) -1))))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 6)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 2/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)) -1)
(pow.f64 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(expm1.f64 (*.f64 2 (log.f64 x)))
(expm1.f64 (*.f64 (log.f64 x) 2))
(expm1.f64 (*.f64 (*.f64 2 (log.f64 x)) 1))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 x x -1))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 (*.f64 x x) 1 -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -1)
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (*.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 (*.f64 1/2 (*.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 (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)))) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 -1)))
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 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 -1/2 x))
(-.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 (-.f64 x (/.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 x (-.f64 (-.f64 (/.f64 -1/2 x) (/.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))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (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)))))
(+.f64 (+.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 1/6 (/.f64 (pow.f64 x 3) (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 -1/4 (*.f64 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 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 -1/4 (*.f64 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 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (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 1/4 (*.f64 x x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6)))))
(+.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))))
(+.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 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (log.f64 -1/2)))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.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)))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 1/4 (*.f64 x x))) (log.f64 -1/2)))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6)))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(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 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (sqrt.f64 -1)) x))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) x))
(+.f64 x (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))) x)))
(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)) x)))
(+.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)) x)))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 x (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 x 2) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (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 (-.f64 (*.f64 x 2) (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.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 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.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 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 5/128 (pow.f64 x 7)))))
-1
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(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 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (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 2 (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)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
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(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(*.f64 (+.f64 -1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(*.f64 (+.f64 -1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(pow.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 6)
(fma.f64 x x -1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 4)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 2/3)
(fma.f64 x x -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)) -1)
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(pow.f64 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)) -1)
(*.f64 (+.f64 -1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(fma.f64 x x -1)
(log.f64 (exp.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1))))
(fma.f64 x x -1)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(fma.f64 x x -1)
(expm1.f64 (*.f64 2 (log.f64 x)))
(expm1.f64 (*.f64 (log.f64 x) 2))
(expm1.f64 (*.f64 2 (log.f64 x)))
(expm1.f64 (*.f64 (*.f64 2 (log.f64 x)) 1))
(expm1.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1))
(fma.f64 x x -1)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1) 1))
(fma.f64 x x -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 2))
(fma.f64 x x -1)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) 2))
(fma.f64 x x -1)
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 2))
(fma.f64 x x -1)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(fma.f64 x x -1)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 x x -1))) 1/2))
(fma.f64 x x -1)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x -1))) 1/3))
(fma.f64 x x -1)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(fma.f64 x x -1)
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x x -1)
(fma.f64 (*.f64 x x) 1 -1)
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) -1)
(fma.f64 x x -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 x x -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1)
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -1)
(fma.f64 x x -1)

eval189.0ms (1.7%)

Compiler

Compiled 5766 to 4178 computations (27.5% saved)

prune53.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3533356
Fresh000
Picked011
Done000
Total3534357
Accurracy
100.0%
Counts
357 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(+.f64 (log.f64 2) (log.f64 x))
▶99.2%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓54.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶98.8%
(log.f64 (+.f64 x x))
▶98.9%
(+.f64 (log.f64 2) (log.f64 x))
▶99.2%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓54.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶98.8%
(log.f64 (+.f64 x x))
Compiler

Compiled 60 to 42 computations (30% saved)

localize156.0ms (1.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(+.f64 (log.f64 2) (log.f64 x))
✓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 46 to 26 computations (43.5% saved)

series118.0ms (1%)

Counts
4 → 44
Calls

12 calls:

TimeVariablePointExpression
27.0ms
x
@-inf
(+.f64 (log.f64 2) (log.f64 x))
27.0ms
x
@0
(log.f64 (+.f64 x x))
25.0ms
x
@0
(+.f64 (log.f64 2) (log.f64 x))
16.0ms
x
@-inf
(log.f64 (+.f64 x x))
11.0ms
x
@inf
(log.f64 (+.f64 x x))

rewrite107.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1734×fma-def
1244×log-prod
678×fma-neg
506×expm1-udef
502×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01564
133156
2472456
Stop Event
1×node limit
Counts
4 → 295
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)))
(+.f64 (log.f64 2) (log.f64 x))
Outputs
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 (/.f64 0 0)) 0)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (*.f64 x (/.f64 0 0))))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/2) (log.f64 (*.f64 (/.f64 1 x) (/.f64 0 0))))
(+.f64 0 (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 4) (log.f64 (*.f64 x x)))
(+.f64 (log.f64 1/8) (log.f64 (pow.f64 (/.f64 1 x) 3)))
(+.f64 (log.f64 (sqrt.f64 1/2)) (log.f64 (sqrt.f64 (/.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 0) (log.f64 (/.f64 1 0)))
(+.f64 (log.f64 1/4) (log.f64 (*.f64 (/.f64 1 x) (/.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 1/2)) (log.f64 (cbrt.f64 (/.f64 1 x))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 x x 0))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(+.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x (/.f64 0 0))))) (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x (/.f64 0 0))))))
(+.f64 (log.f64 (pow.f64 (/.f64 0 0) 3/2)) (log.f64 (pow.f64 (/.f64 0 0) 3/2)))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (/.f64 0 0) 2)) (log.f64 x))
(+.f64 (log.f64 (*.f64 (/.f64 0 0) 1/2)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.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))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.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 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 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 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 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 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 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)) (log.f64 (/.f64 x 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 (fma.f64 x 2 -1))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 0)
(+.f64 0 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(+.f64 (log.f64 (*.f64 (tanh.f64 (log.f64 (/.f64 0 0))) (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 (sqrt.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (log.f64 (sqrt.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(+.f64 (log.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2)) (log.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(+.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x) (*.f64 x x)))))
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0))) (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(-.f64 (log.f64 (*.f64 (tanh.f64 (log.f64 (/.f64 0 0))) (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x) (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))) 1)
(*.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 1)
(*.f64 1 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(*.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(*.f64 (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 3)
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
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(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))

simplify104.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
208×fma-udef
114×+-commutative
102×*-commutative
68×sub-neg
66×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05544727
117424727
Stop Event
1×unsound
Counts
339 → 350
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)))
(+.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))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 (/.f64 0 0)) 0)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (*.f64 x (/.f64 0 0))))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/2) (log.f64 (*.f64 (/.f64 1 x) (/.f64 0 0))))
(+.f64 0 (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 4) (log.f64 (*.f64 x x)))
(+.f64 (log.f64 1/8) (log.f64 (pow.f64 (/.f64 1 x) 3)))
(+.f64 (log.f64 (sqrt.f64 1/2)) (log.f64 (sqrt.f64 (/.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 0) (log.f64 (/.f64 1 0)))
(+.f64 (log.f64 1/4) (log.f64 (*.f64 (/.f64 1 x) (/.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 1/2)) (log.f64 (cbrt.f64 (/.f64 1 x))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 x x 0))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(+.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x (/.f64 0 0))))) (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x (/.f64 0 0))))))
(+.f64 (log.f64 (pow.f64 (/.f64 0 0) 3/2)) (log.f64 (pow.f64 (/.f64 0 0) 3/2)))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (/.f64 0 0) 2)) (log.f64 x))
(+.f64 (log.f64 (*.f64 (/.f64 0 0) 1/2)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.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))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.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 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 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 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 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 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 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)) (log.f64 (/.f64 x 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 (fma.f64 x 2 -1))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 0)
(+.f64 0 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(+.f64 (log.f64 (*.f64 (tanh.f64 (log.f64 (/.f64 0 0))) (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 (sqrt.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (log.f64 (sqrt.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(+.f64 (log.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2)) (log.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(+.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x) (*.f64 x x)))))
(+.f64 (log.f64 (fma.f64 x 2 (/.f64 0 0))) (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(-.f64 (log.f64 (*.f64 (tanh.f64 (log.f64 (/.f64 0 0))) (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x) (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))) 1)
(*.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 1)
(*.f64 1 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(*.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(*.f64 (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 3)
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(exp.f64 (log.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 1))
(log1p.f64 (-.f64 (tanh.f64 (log.f64 (/.f64 0 0))) 1))
(-.f64 x (-.f64 (/.f64 0 0) x))
(-.f64 (/.f64 0 0) (/.f64 0 0))
(-.f64 (exp.f64 (log1p.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 1)
(-.f64 (/.f64 (*.f64 x x) (/.f64 0 0)) (/.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 2) (/.f64 0 0)))
(*.f64 (tanh.f64 (log.f64 (/.f64 0 0))) 1)
(*.f64 2 (sinh.f64 (log.f64 (/.f64 0 0))))
(*.f64 1 (tanh.f64 (log.f64 (/.f64 0 0))))
(*.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (pow.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2) (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(*.f64 (sqrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (sqrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(*.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x) (*.f64 x x))))
(*.f64 (*.f64 (tanh.f64 (log.f64 (/.f64 0 0))) (/.f64 0 0)) (/.f64 0 0))
(*.f64 (fma.f64 x 2 (/.f64 0 0)) (tanh.f64 (log.f64 (/.f64 0 0))))
(/.f64 (tanh.f64 (log.f64 (/.f64 0 0))) (fma.f64 x 2 (fma.f64 x 2 (/.f64 0 0))))
(/.f64 (tanh.f64 (log.f64 (/.f64 0 0))) (fma.f64 x 2 (/.f64 0 0)))
(/.f64 1 (/.f64 (fma.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x) (*.f64 x x)) (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (/.f64 0 0) (*.f64 (tanh.f64 (log.f64 (/.f64 0 0))) (/.f64 0 0))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3)) (fma.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x) (*.f64 x 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 (tanh.f64 (log.f64 (/.f64 0 0))) (/.f64 0 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 (fma.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 0 0) (neg.f64 (*.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 (fma.f64 0 x 0) (*.f64 0 x))
(/.f64 (fma.f64 0 (/.f64 0 0) 0) (*.f64 0 (/.f64 0 0)))
(/.f64 (fma.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 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (tanh.f64 (log.f64 (/.f64 0 0))) (/.f64 0 0))) (/.f64 -1/2 x))
(/.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 2) (*.f64 x x)) (-.f64 (-.f64 x (/.f64 0 0)) x))
(pow.f64 (tanh.f64 (log.f64 (/.f64 0 0))) 1)
(pow.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 3)
(pow.f64 (pow.f64 (tanh.f64 (log.f64 (/.f64 0 0))) 3) 1/3)
(pow.f64 (sqrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))) 2)) (cbrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))) (sqrt.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(pow.f64 (exp.f64 1) (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(sqrt.f64 (pow.f64 (tanh.f64 (log.f64 (/.f64 0 0))) 2))
(log.f64 (exp.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(log.f64 (+.f64 1 (expm1.f64 (tanh.f64 (log.f64 (/.f64 0 0))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (-.f64 x (/.f64 0 0))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 x (/.f64 0 0)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (-.f64 x (/.f64 0 0))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) x) (exp.f64 (/.f64 -1/2 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 2) x) (/.f64 1 (pow.f64 (exp.f64 2) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 0 0))) (exp.f64 (/.f64 -1/2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 0 0))) (/.f64 1 (pow.f64 (exp.f64 2) x))))
(log.f64 (*.f64 (exp.f64 (-.f64 x (/.f64 0 0))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 0 0)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 0 0)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (expm1.f64 (/.f64 0 0)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 0 0))) (pow.f64 (exp.f64 2) x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 0 0))) (+.f64 1 (expm1.f64 (/.f64 0 0)))))
(cbrt.f64 (pow.f64 (tanh.f64 (log.f64 (/.f64 0 0))) 3))
(expm1.f64 (log1p.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(exp.f64 (log.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(log1p.f64 (expm1.f64 (tanh.f64 (log.f64 (/.f64 0 0)))))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 x 1 (-.f64 x (/.f64 0 0)))
(fma.f64 x 1 (neg.f64 (-.f64 (/.f64 0 0) x)))
(fma.f64 (/.f64 0 0) (/.f64 0 0) (/.f64 -1/2 x))
(fma.f64 (/.f64 0 0) 1 (/.f64 -1/2 x))
(fma.f64 1/2 (/.f64 1 x) (/.f64 -1/2 x))
(fma.f64 1/2 (*.f64 (/.f64 1 x) (/.f64 0 0)) (/.f64 -1/2 x))
(fma.f64 (-.f64 x (/.f64 0 0)) 1 x)
(fma.f64 (tanh.f64 (log.f64 (/.f64 0 0))) 1 (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 0 0)))
(fma.f64 (tanh.f64 (log.f64 (/.f64 0 0))) 1 (fma.f64 (/.f64 -1/2 x) 1 (/.f64 0 0)))
(fma.f64 (tanh.f64 (log.f64 (/.f64 0 0))) 1 (+.f64 (/.f64 -1/2 x) (/.f64 0 0)))
(fma.f64 2 x (/.f64 -1/2 x))
(fma.f64 2 (*.f64 x (/.f64 0 0)) (/.f64 -1/2 x))
(fma.f64 1 x (-.f64 x (/.f64 0 0)))
(fma.f64 1 x (neg.f64 (-.f64 (/.f64 0 0) x)))
(fma.f64 1 (/.f64 0 0) (/.f64 -1/2 x))
(fma.f64 1 (-.f64 x (/.f64 0 0)) x)
(fma.f64 1 (tanh.f64 (log.f64 (/.f64 0 0))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 0 0)))
(fma.f64 1 (tanh.f64 (log.f64 (/.f64 0 0))) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 0 0)))
(fma.f64 1 (tanh.f64 (log.f64 (/.f64 0 0))) (+.f64 (/.f64 -1/2 x) (/.f64 0 0)))
(fma.f64 (cbrt.f64 2) (cbrt.f64 x) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 (-.f64 x (/.f64 0 0))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 0 0))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 0 0))) 2) (cbrt.f64 (-.f64 x (/.f64 0 0))) x)
(fma.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (pow.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (pow.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (pow.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2) (+.f64 (/.f64 -1/2 x) (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2) (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2) (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) 2) (cbrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (+.f64 (/.f64 -1/2 x) (/.f64 0 0)))
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 x)) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 x (/.f64 0 0)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (/.f64 0 0) x)))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 x (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 (/.f64 0 0) x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 4 (*.f64 x x) (/.f64 -1/2 x))
(fma.f64 1/4 (*.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 -1/2 x))
(fma.f64 1/8 (pow.f64 (/.f64 1 x) 3) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 2) (sqrt.f64 x) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 0 0))) (sqrt.f64 (-.f64 x (/.f64 0 0))) x)
(fma.f64 (sqrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (sqrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (sqrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (sqrt.f64 (tanh.f64 (log.f64 (/.f64 0 0)))) (+.f64 (/.f64 -1/2 x) (/.f64 0 0)))
(fma.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (/.f64 0 0)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (/.f64 0 0) x)))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 -1/2 (/.f64 1 (neg.f64 x)) (/.f64 -1/2 x))
(fma.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)) (/.f64 -1/2 x))
(fma.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x) (*.f64 x x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 0 0)))
(fma.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x) (*.f64 x x))) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 0 0)))
(fma.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 0 0)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (-.f64 x (/.f64 0 0)) (-.f64 (-.f64 x (/.f64 0 0)) x) (*.f64 x x))) (+.f64 (/.f64 -1/2 x) (/.f64 0 0)))
(fma.f64 (+.f64 (pow.f64 x 3) (/.f64 -1/2 x)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 0 0) (fma.f64 x 2 x)))) x)
(fma.f64 (/.f64 1 x) 1/2 (/.f64 -1/2 x))
(fma.f64 0 (/.f64 1 0) (/.f64 -1/2 x))
(fma.f64 (*.f64 (tanh.f64 (log.f64 (/.f64 0 0))) (/.f64 0 0)) (/.f64 0 0) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 0 0)))
(fma.f64 (*.f64 (tanh.f64 (log.f64 (/.f64 0 0))) (/.f64 0 0)) (/.f64 0 0) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 0 0)))
(fma.f64 (*.f64 (tanh.f64 (log.f64 (/.f64 0 0))) (/.f64 0 0)) (/.f64 0 0) (+.f64 (/.f64 -1/2 x) (/.f64 0 0)))
(fma.f64 (fma.f64 x x (/.f64 -1/2 x)) (/.f64 1 (fma.f64 x 2 x)) x)
(fma.f64 (fma.f64 x 2 (/.f64 0 0)) (tanh.f64 (log.f64 (/.f64 0 0))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 0 0)))
(fma.f64 (fma.f64 x 2 (/.f64 0 0)) (tanh.f64 (log.f64 (/.f64 0 0))) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 0 0)))
(fma.f64 (fma.f64 x 2 (/.f64 0 0)) (tanh.f64 (log.f64 (/.f64 0 0))) (+.f64 (/.f64 -1/2 x) (/.f64 0 0)))
(fma.f64 (+.f64 (sqrt.f64 x) (/.f64 0 0)) (-.f64 (sqrt.f64 x) (/.f64 0 0)) x)
(fma.f64 (pow.f64 (/.f64 0 0) 3/2) (pow.f64 (/.f64 0 0) 3/2) (/.f64 -1/2 x))
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -1/2 x))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -1/2 x))
(fma.f64 (*.f64 (/.f64 0 0) 2) x (/.f64 -1/2 x))
(fma.f64 (*.f64 (/.f64 0 0) 1/2) (/.f64 1 x) (/.f64 -1/2 x))
(tanh.f64 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.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))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.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 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 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 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 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 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 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)) (log.f64 (/.f64 x 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 (fma.f64 x 2 -1)))
(log.f64 (*.f64 (/.f64 0 0) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (/.f64 0 0)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) 2))
(log.f64 (/.f64 1/2 (+.f64 1 (-.f64 x 1))))
(log.f64 (/.f64 1 (+.f64 1 (fma.f64 x 2 -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 (fma.f64 x 2 -1))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
Outputs
(+.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))))
-1
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-1
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-1
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
-1
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(+.f64 -1 (+.f64 (/.f64 -1/2 x) -1))
(fma.f64 (fma.f64 x x (/.f64 -1/2 x)) (/.f64 1 (fma.f64 x 2 x)) x)
(fma.f64 (+.f64 (/.f64 -1/2 x) -1) (/.f64 -1 (fma.f64 x 2 x)) x)
(fma.f64 (fma.f64 x 2 (/.f64 0 0)) (tanh.f64 (log.f64 (/.f64 0 0))) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 0 0)))
(fma.f64 (fma.f64 2 x -1) -1 -1)
(fma.f64 (fma.f64 x 2 (/.f64 0 0)) (tanh.f64 (log.f64 (/.f64 0 0))) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 0 0)))
(fma.f64 (fma.f64 2 x -1) -1 (fma.f64 (/.f64 -1/2 x) -1 -1))
(fma.f64 (fma.f64 x 2 (/.f64 0 0)) (tanh.f64 (log.f64 (/.f64 0 0))) (+.f64 (/.f64 -1/2 x) (/.f64 0 0)))
(fma.f64 (fma.f64 2 x -1) -1 (+.f64 (/.f64 -1/2 x) -1))
(fma.f64 (+.f64 (sqrt.f64 x) (/.f64 0 0)) (-.f64 (sqrt.f64 x) (/.f64 0 0)) x)
(fma.f64 (+.f64 -1 (sqrt.f64 x)) (+.f64 -1 (sqrt.f64 x)) x)
(fma.f64 (pow.f64 (/.f64 0 0) 3/2) (pow.f64 (/.f64 0 0) 3/2) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) -1)
(fma.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -1/2 x))
(fma.f64 -1 (cbrt.f64 x) (/.f64 -1/2 x))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -1/2 x))
(fma.f64 (*.f64 (/.f64 0 0) 2) x (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) -1)
(fma.f64 (*.f64 (/.f64 0 0) 1/2) (/.f64 1 x) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) -1)
(tanh.f64 (log.f64 (/.f64 0 0)))
-1
(-.f64 (log.f64 1/2) (log.f64 x))
-1
(-.f64 0 (log.f64 (/.f64 0 0)))
-1
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 -1/2) -1)
(-.f64 (log.f64 0) (log.f64 0))
-1
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
-1
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
-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 (/.f64 -1 (log.f64 (/.f64 2 x))) (/.f64 -1 (log.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 0 0)) 1)
-1
(*.f64 1 (log.f64 (/.f64 0 0)))
-1
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
-1
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
-1
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
-1
(*.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (+.f64 -1 (*.f64 (log.f64 2) -1)) (/.f64 -1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) -1)))
(*.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))))
(*.f64 (neg.f64 (log.f64 (/.f64 2 x))) (/.f64 -1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))))
(*.f64 (+.f64 -1 (*.f64 (log.f64 2) -1)) (/.f64 -1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) -1)))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))))
(*.f64 (neg.f64 (log.f64 (/.f64 2 x))) (/.f64 -1 (log.f64 (/.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 -1 (*.f64 (log.f64 2) -1)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) -1))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (+.f64 -1 (*.f64 (log.f64 2) -1)) (-.f64 -1 (*.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 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 -1 (neg.f64 (*.f64 (log.f64 2) -1))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) -1)))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x)))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (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)) (log.f64 (/.f64 x 2)))
(/.f64 -1 (log.f64 (/.f64 x 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
-1
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
-1
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
-1
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
-1
(neg.f64 (log.f64 (/.f64 0 0)))
-1
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(sqrt.f64 -1)
(log.f64 (/.f64 0 0))
-1
(log.f64 (+.f64 1 (fma.f64 x 2 -1)))
(log1p.f64 (fma.f64 2 x -1))
(log.f64 (*.f64 (/.f64 0 0) (+.f64 1 (fma.f64 x 2 -1))))
(+.f64 -1 (log1p.f64 (fma.f64 2 x -1)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (/.f64 0 0)))
(+.f64 -1 (log1p.f64 (fma.f64 2 x -1)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (+.f64 1 (fma.f64 x 2 -1))))
(+.f64 (log1p.f64 (fma.f64 2 x -1)) (log1p.f64 (fma.f64 2 x -1)))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(log.f64 (+.f64 -1 (*.f64 2 (+.f64 x -1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) 2))
(log.f64 (+.f64 -1 (*.f64 2 (+.f64 x -1))))
(log.f64 (/.f64 1/2 (+.f64 1 (-.f64 x 1))))
(log.f64 (/.f64 1/2 (+.f64 -1 (+.f64 x -1))))
(log.f64 (/.f64 1 (+.f64 1 (fma.f64 x 2 -1))))
(neg.f64 (log1p.f64 (fma.f64 2 x -1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
-1
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
-1
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
-1
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
-1
(log1p.f64 (fma.f64 x 2 -1))
(log1p.f64 (fma.f64 2 x -1))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
-1
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 2) -1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
-1
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
-1
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 (log.f64 2) -1 (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
-1
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 x)))
(fma.f64 -1 (log.f64 1/2) -1)
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
-1
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
-1
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 x)) -1 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 -1 (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 2)) -1 (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 -1 (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
-1
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (+.f64 -1 (*.f64 (log.f64 2) -1)) (/.f64 -1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) -1)) -1)
(fma.f64 (*.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 2 x))) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(fma.f64 (neg.f64 (log.f64 (/.f64 2 x))) (/.f64 -1 (log.f64 (/.f64 2 x))) -1)
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) -1)
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) -1)

eval114.0ms (1%)

Compiler

Compiled 4327 to 3617 computations (16.4% saved)

prune74.0ms (0.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3473350
Fresh000
Picked033
Done011
Total3477354
Accurracy
100.0%
Counts
354 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
✓98.9%
(+.f64 (log.f64 2) (log.f64 x))
✓99.2%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓54.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓98.8%
(log.f64 (+.f64 x x))
▶31.4%
(log.f64 (+.f64 x -1))
1.6%
-1
▶98.9%
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
✓98.9%
(+.f64 (log.f64 2) (log.f64 x))
✓99.2%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓54.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓98.8%
(log.f64 (+.f64 x x))
▶31.4%
(log.f64 (+.f64 x -1))
1.6%
-1
Compiler

Compiled 94 to 68 computations (27.7% saved)

localize92.0ms (0.8%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log.f64 (sqrt.f64 x))
✓99.7%
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
Compiler

Compiled 36 to 20 computations (44.4% saved)

series3.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
1.0ms
x
@0
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
0.0ms
x
@inf
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
0.0ms
x
@0
(log.f64 (sqrt.f64 x))
0.0ms
x
@-inf
(log.f64 (sqrt.f64 x))

rewrite74.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1066×prod-diff
912×log-prod
608×pow-prod-down
606×prod-exp
484×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01034
120420
2255020
Stop Event
1×node limit
Counts
2 → 87
Calls
Call 1
Inputs
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(log.f64 (sqrt.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))))
(*.f64 (log.f64 (*.f64 2 x)) 1)
(*.f64 1 (log.f64 (*.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2) (cbrt.f64 (log.f64 (*.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) (sqrt.f64 (log.f64 (*.f64 2 x))))
(*.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2)) (/.f64 1 (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)) (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))) (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (*.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) (log.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2)) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3))) (neg.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2))) (neg.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))))
(pow.f64 (log.f64 (*.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)) (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3))) -1)
(pow.f64 (/.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))) (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2))) -1)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2))
(log.f64 (*.f64 2 x))
(log.f64 (+.f64 1 (fma.f64 2 x -1)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 1 (-.f64 (sqrt.f64 x) 1))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1)) (sqrt.f64 x)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1)) (+.f64 1 (-.f64 (sqrt.f64 x) 1))))
(log.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 x) 1)) (sqrt.f64 (*.f64 x 4))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 x) 1)) (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (*.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (*.f64 2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 2 x)))) 2))
(log1p.f64 (fma.f64 2 x -1))
(fma.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 1 (log.f64 (sqrt.f64 x)))
(fma.f64 (log.f64 (sqrt.f64 x)) 1 (log.f64 (sqrt.f64 (*.f64 x 4))))
(fma.f64 1 (log.f64 (sqrt.f64 (*.f64 x 4))) (log.f64 (sqrt.f64 x)))
(fma.f64 1 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 (*.f64 x 4))))
(fma.f64 1 (log1p.f64 1) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) 2) (log.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) (log.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (log.f64 (sqrt.f64 (*.f64 x 4))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (cbrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 (*.f64 x 4))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) (log.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 (*.f64 x 4))))
(fma.f64 1/2 (log.f64 x) (log.f64 (sqrt.f64 (*.f64 x 4))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 x)) 0)
(+.f64 0 (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 x 1/6)) (log.f64 (cbrt.f64 x)))
(+.f64 (*.f64 1/4 (log.f64 x)) (*.f64 1/4 (log.f64 x)))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (pow.f64 x 1/6)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 x)))) 1)
(*.f64 2 (*.f64 1/4 (log.f64 x)))
(*.f64 (log.f64 (sqrt.f64 x)) 1)
(*.f64 1 (log.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (cbrt.f64 (log.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (log.f64 x))
(*.f64 3 (log.f64 (pow.f64 x 1/6)))
(*.f64 1/3 (*.f64 3/2 (log.f64 x)))
(pow.f64 (log.f64 (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 x))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (sqrt.f64 x)))) 2))
(log1p.f64 (-.f64 (sqrt.f64 x) 1))

simplify82.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1292×fma-def
1086×div-sub
846×fma-neg
636×log-prod
632×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01922403
14192273
213202177
365602177
Stop Event
1×node limit
Counts
87 → 97
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))))
(*.f64 (log.f64 (*.f64 2 x)) 1)
(*.f64 1 (log.f64 (*.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2) (cbrt.f64 (log.f64 (*.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) (sqrt.f64 (log.f64 (*.f64 2 x))))
(*.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2)) (/.f64 1 (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)) (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))) (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (*.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) (log.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2)) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3))) (neg.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2))) (neg.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))))
(pow.f64 (log.f64 (*.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)) (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3))) -1)
(pow.f64 (/.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))) (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2))) -1)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2))
(log.f64 (*.f64 2 x))
(log.f64 (+.f64 1 (fma.f64 2 x -1)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 1 (-.f64 (sqrt.f64 x) 1))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1)) (sqrt.f64 x)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1)) (+.f64 1 (-.f64 (sqrt.f64 x) 1))))
(log.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 x) 1)) (sqrt.f64 (*.f64 x 4))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 x) 1)) (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (*.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (*.f64 2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 2 x)))) 2))
(log1p.f64 (fma.f64 2 x -1))
(fma.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 1 (log.f64 (sqrt.f64 x)))
(fma.f64 (log.f64 (sqrt.f64 x)) 1 (log.f64 (sqrt.f64 (*.f64 x 4))))
(fma.f64 1 (log.f64 (sqrt.f64 (*.f64 x 4))) (log.f64 (sqrt.f64 x)))
(fma.f64 1 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 (*.f64 x 4))))
(fma.f64 1 (log1p.f64 1) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) 2) (log.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) (log.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (log.f64 (sqrt.f64 (*.f64 x 4))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (cbrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 (*.f64 x 4))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) (log.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 (*.f64 x 4))))
(fma.f64 1/2 (log.f64 x) (log.f64 (sqrt.f64 (*.f64 x 4))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 x)) 0)
(+.f64 0 (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 x 1/6)) (log.f64 (cbrt.f64 x)))
(+.f64 (*.f64 1/4 (log.f64 x)) (*.f64 1/4 (log.f64 x)))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (pow.f64 x 1/6)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 x)))) 1)
(*.f64 2 (*.f64 1/4 (log.f64 x)))
(*.f64 (log.f64 (sqrt.f64 x)) 1)
(*.f64 1 (log.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (cbrt.f64 (log.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (log.f64 x))
(*.f64 3 (log.f64 (pow.f64 x 1/6)))
(*.f64 1/3 (*.f64 3/2 (log.f64 x)))
(pow.f64 (log.f64 (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 x))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (sqrt.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (sqrt.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (sqrt.f64 x)))) 2))
(log1p.f64 (-.f64 (sqrt.f64 x) 1))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x)))) 1)
(log.f64 (*.f64 2 x))
(-.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2)) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))))
(*.f64 (log.f64 (*.f64 2 x)) 1)
(log.f64 (*.f64 2 x))
(*.f64 1 (log.f64 (*.f64 2 x)))
(log.f64 (*.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2))
(log.f64 (*.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2) (cbrt.f64 (log.f64 (*.f64 2 x))))
(log.f64 (*.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) (sqrt.f64 (log.f64 (*.f64 2 x))))
(log.f64 (*.f64 2 x))
(*.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (fma.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))) (pow.f64 (log.f64 (sqrt.f64 x)) 2)))
(*.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2)) (/.f64 1 (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2)) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)) (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3))))
(*.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (fma.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))) (pow.f64 (log.f64 (sqrt.f64 x)) 2)))
(/.f64 1 (/.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))) (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2)) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)))
(*.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (fma.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))) (pow.f64 (log.f64 (sqrt.f64 x)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (*.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) (log.f64 (sqrt.f64 x))))))
(*.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)))
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(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2)) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3))) (neg.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2))))
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(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (fma.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))) (pow.f64 (log.f64 (sqrt.f64 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2))) (neg.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2)) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2)) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))))
(pow.f64 (log.f64 (*.f64 2 x)) 1)
(log.f64 (*.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 3)
(log.f64 (*.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2) 1/2)
(log.f64 (*.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3) 1/3)
(log.f64 (*.f64 2 x))
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(log.f64 (*.f64 2 x))
(pow.f64 (/.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)) (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3))) -1)
(*.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 3) (pow.f64 (log.f64 (sqrt.f64 x)) 3)) (fma.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))) (pow.f64 (log.f64 (sqrt.f64 x)) 2)))
(pow.f64 (/.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))) (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2))) -1)
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2) (pow.f64 (log.f64 (sqrt.f64 x)) 2)) (log.f64 (/.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (pow.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 2)) (log.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4)))))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2))
(log.f64 (*.f64 2 x))
(log.f64 (*.f64 2 x))
(log.f64 (+.f64 1 (fma.f64 2 x -1)))
(log.f64 (*.f64 2 x))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 1 (-.f64 (sqrt.f64 x) 1))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 (sqrt.f64 x) 0)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1)) (sqrt.f64 x)))
(log.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1))))
(+.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 (fma.f64 2 (sqrt.f64 x) -1)))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1)) (+.f64 1 (-.f64 (sqrt.f64 x) 1))))
(log.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1))))
(+.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 (fma.f64 2 (sqrt.f64 x) -1)))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1))))
(+.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 (fma.f64 2 (sqrt.f64 x) -1)))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 x) 1)) (sqrt.f64 (*.f64 x 4))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 (sqrt.f64 x) 0)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 x) 1)) (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1))))
(+.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 (fma.f64 2 (sqrt.f64 x) -1)))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3))
(log.f64 (*.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 x))))
(log.f64 (*.f64 2 x))
(exp.f64 (log.f64 (log.f64 (*.f64 2 x))))
(log.f64 (*.f64 2 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 x))) 1))
(log.f64 (*.f64 2 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 x))) 1) 1))
(log.f64 (*.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (*.f64 2 x)))) 3))
(log.f64 (*.f64 2 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3)) 1/3))
(log.f64 (*.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 2 x)))) 2))
(log.f64 (*.f64 2 x))
(log1p.f64 (fma.f64 2 x -1))
(log.f64 (*.f64 2 x))
(fma.f64 (log.f64 (sqrt.f64 (*.f64 x 4))) 1 (log.f64 (sqrt.f64 x)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 (sqrt.f64 x) 0)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))
(fma.f64 (log.f64 (sqrt.f64 x)) 1 (log.f64 (sqrt.f64 (*.f64 x 4))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 (sqrt.f64 x) 0)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))
(fma.f64 1 (log.f64 (sqrt.f64 (*.f64 x 4))) (log.f64 (sqrt.f64 x)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 (sqrt.f64 x) 0)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))
(fma.f64 1 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 (*.f64 x 4))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 (sqrt.f64 x) 0)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))
(fma.f64 1 (log1p.f64 1) (log.f64 x))
(+.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) 2) (log.f64 (sqrt.f64 x)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 (sqrt.f64 x) 0)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) (log.f64 (sqrt.f64 x)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 (sqrt.f64 x) 0)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (log.f64 (sqrt.f64 (*.f64 x 4))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 (sqrt.f64 x) 0)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (cbrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 (*.f64 x 4))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 (sqrt.f64 x) 0)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x 4)))) (log.f64 (sqrt.f64 x)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 (sqrt.f64 x) 0)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 (*.f64 x 4))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (+.f64 (sqrt.f64 x) 0)))
(log.f64 (*.f64 (sqrt.f64 (*.f64 x 4)) (sqrt.f64 x)))
(fma.f64 1/2 (log.f64 x) (log.f64 (sqrt.f64 (*.f64 x 4))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (log.f64 x))
(fma.f64 1 (log1p.f64 1) (log.f64 x))
(+.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (log.f64 x))
(fma.f64 1 (log1p.f64 1) (log.f64 x))
(+.f64 (log1p.f64 1) (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 x)) 0)
(log.f64 (sqrt.f64 x))
(+.f64 0 (log.f64 (sqrt.f64 x)))
(log.f64 (sqrt.f64 x))
(+.f64 (log.f64 (pow.f64 x 1/6)) (log.f64 (cbrt.f64 x)))
(fma.f64 1/6 (log.f64 x) (log.f64 (cbrt.f64 x)))
(fma.f64 (log.f64 x) 1/6 (log.f64 (cbrt.f64 x)))
(+.f64 (*.f64 1/4 (log.f64 x)) (*.f64 1/4 (log.f64 x)))
(*.f64 1/2 (log.f64 x))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (pow.f64 x 1/6)))
(+.f64 (log.f64 (pow.f64 x 1/6)) (log.f64 (cbrt.f64 x)))
(fma.f64 1/6 (log.f64 x) (log.f64 (cbrt.f64 x)))
(fma.f64 (log.f64 x) 1/6 (log.f64 (cbrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 x)))) 1)
(log.f64 (sqrt.f64 x))
(*.f64 2 (*.f64 1/4 (log.f64 x)))
(*.f64 1/2 (log.f64 x))
(*.f64 (log.f64 (sqrt.f64 x)) 1)
(log.f64 (sqrt.f64 x))
(*.f64 1 (log.f64 (sqrt.f64 x)))
(log.f64 (sqrt.f64 x))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2))
(log.f64 (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (cbrt.f64 (log.f64 (sqrt.f64 x))))
(log.f64 (sqrt.f64 x))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))))
(log.f64 (sqrt.f64 x))
(*.f64 1/2 (log.f64 x))
(*.f64 3 (log.f64 (pow.f64 x 1/6)))
(*.f64 1/2 (log.f64 x))
(*.f64 1/3 (*.f64 3/2 (log.f64 x)))
(*.f64 1/2 (log.f64 x))
(pow.f64 (log.f64 (sqrt.f64 x)) 1)
(log.f64 (sqrt.f64 x))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 3)
(log.f64 (sqrt.f64 x))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) 1/2)
(log.f64 (sqrt.f64 x))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 3) 1/3)
(log.f64 (sqrt.f64 x))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) 2)
(log.f64 (sqrt.f64 x))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2))
(log.f64 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 3))
(log.f64 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 x))))
(log.f64 (sqrt.f64 x))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 x))))
(log.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 x))) 1))
(log.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 x))) 1) 1))
(log.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (sqrt.f64 x)))) 3))
(log.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (sqrt.f64 x)))) 1/3))
(log.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 x))) 3) 1/3))
(log.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (sqrt.f64 x)))) 2))
(log.f64 (sqrt.f64 x))
(log1p.f64 (-.f64 (sqrt.f64 x) 1))
(log.f64 (sqrt.f64 x))

eval28.0ms (0.2%)

Compiler

Compiled 1332 to 879 computations (34% saved)

prune16.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New96197
Fresh011
Picked112
Done044
Total977104
Accurracy
100.0%
Counts
104 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (*.f64 1/2 (log.f64 x)))
✓98.9%
(+.f64 (log.f64 2) (log.f64 x))
✓99.2%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓54.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓98.8%
(log.f64 (+.f64 x x))
✓31.4%
(log.f64 (+.f64 x -1))
1.6%
-1
▶99.0%
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (*.f64 1/2 (log.f64 x)))
✓98.9%
(+.f64 (log.f64 2) (log.f64 x))
✓99.2%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓54.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓98.8%
(log.f64 (+.f64 x x))
✓31.4%
(log.f64 (+.f64 x -1))
1.6%
-1
Compiler

Compiled 96 to 72 computations (25% saved)

localize80.0ms (0.7%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (*.f64 1/2 (log.f64 x)))
Compiler

Compiled 32 to 19 computations (40.6% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite89.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1862×prod-diff
1058×log-prod
672×pow-prod-down
572×fma-def
546×pow-prod-up
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01231
124215
2297711
Stop Event
1×node limit
Counts
1 → 63
Calls
Call 1
Inputs
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (*.f64 1/2 (log.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))))
(*.f64 (log.f64 (*.f64 2 x)) 1)
(*.f64 1 (log.f64 (*.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2) (cbrt.f64 (log.f64 (*.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) (sqrt.f64 (log.f64 (*.f64 2 x))))
(*.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2))))
(*.f64 (*.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))) (/.f64 1 (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)) (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))))
(/.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (fma.f64 1/4 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2) (*.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x))))))
(/.f64 (*.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3))) (neg.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2))))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))) (neg.f64 (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))))
(pow.f64 (log.f64 (*.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)) (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3))) -1)
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))) -1)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2))
(log.f64 (exp.f64 (log.f64 (*.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (log.f64 (*.f64 2 x)))))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 x) 1))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1)) (sqrt.f64 x)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1)) (+.f64 1 (-.f64 (sqrt.f64 x) 1))))
(log.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 x) 1)) (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 x) 1)) (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1))))
(log.f64 (*.f64 2 x))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (*.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (*.f64 2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 2 x))))
(fma.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 1 (log.f64 (sqrt.f64 x)))
(fma.f64 1/2 (log.f64 x) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (log.f64 x) 1/2 (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (log.f64 (sqrt.f64 x)) 1 (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 1 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(fma.f64 1 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (cbrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) 2) (log.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) 2) (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) (log.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) 1/2) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) (log.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) 1/2) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 (*.f64 2 (sqrt.f64 x))))

simplify66.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
992×fma-neg
700×log-prod
680×log-div
610×fma-def
516×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01571961
13881643
211361529
360651529
Stop Event
1×node limit
Counts
63 → 73
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))))
(*.f64 (log.f64 (*.f64 2 x)) 1)
(*.f64 1 (log.f64 (*.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2) (cbrt.f64 (log.f64 (*.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) (sqrt.f64 (log.f64 (*.f64 2 x))))
(*.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2))))
(*.f64 (*.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))) (/.f64 1 (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)) (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))))
(/.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (fma.f64 1/4 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2) (*.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x))))))
(/.f64 (*.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3))) (neg.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2))))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))) (neg.f64 (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))))
(pow.f64 (log.f64 (*.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)) (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3))) -1)
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))) -1)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2))
(log.f64 (exp.f64 (log.f64 (*.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (log.f64 (*.f64 2 x)))))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 x) 1))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1)) (sqrt.f64 x)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1)) (+.f64 1 (-.f64 (sqrt.f64 x) 1))))
(log.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 x) 1)) (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 x) 1)) (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1))))
(log.f64 (*.f64 2 x))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (*.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (*.f64 2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 2 x))))
(fma.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 1 (log.f64 (sqrt.f64 x)))
(fma.f64 1/2 (log.f64 x) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (log.f64 x) 1/2 (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (log.f64 (sqrt.f64 x)) 1 (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 1 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(fma.f64 1 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (cbrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) 2) (log.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) 2) (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) (log.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) 1/2) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) (log.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) 1/2) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 (*.f64 2 (sqrt.f64 x))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x)))) 1)
(log.f64 (*.f64 2 x))
(-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2) (log.f64 (/.f64 2 (/.f64 (sqrt.f64 x) (sqrt.f64 x))))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (log.f64 (/.f64 2 (/.f64 (sqrt.f64 x) (sqrt.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2) (log.f64 2)) (/.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (log.f64 2)))
(*.f64 (log.f64 (*.f64 2 x)) 1)
(log.f64 (*.f64 2 x))
(*.f64 1 (log.f64 (*.f64 2 x)))
(log.f64 (*.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2))
(log.f64 (*.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2) (cbrt.f64 (log.f64 (*.f64 2 x))))
(log.f64 (*.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) (sqrt.f64 (log.f64 (*.f64 2 x))))
(log.f64 (*.f64 2 x))
(*.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2))))
(/.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 1/2) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)))
(*.f64 (*.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))) (/.f64 1 (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))))
(log.f64 (*.f64 2 x))
(/.f64 1 (/.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)) (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3))))
(*.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2))))
(/.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 1/2) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)))
(/.f64 1 (/.f64 (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))))
(log.f64 (*.f64 2 x))
(/.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)))
(*.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2))))
(/.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 1/2) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (fma.f64 1/4 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2) (*.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x))))))
(/.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (fma.f64 1/4 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 2))))
(/.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (fma.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 2) (*.f64 1/4 (pow.f64 (log.f64 x) 2))))
(/.f64 (*.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))
(log.f64 (*.f64 2 x))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3))) (neg.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2))))
(*.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2))))
(/.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 1/2) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))) (neg.f64 (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x)))))
(log.f64 (*.f64 2 x))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 x)) 2) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))))
(/.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x))) (log.f64 1/2)) (log.f64 1/2))
(/.f64 (log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) 1)
(pow.f64 (log.f64 (*.f64 2 x)) 1)
(log.f64 (*.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 3)
(log.f64 (*.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2) 1/2)
(log.f64 (*.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3) 1/3)
(log.f64 (*.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) 2)
(log.f64 (*.f64 2 x))
(pow.f64 (/.f64 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)) (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3))) -1)
(*.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (/.f64 1 (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x)))) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2))))
(/.f64 (fma.f64 1/8 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 3)) (fma.f64 (log.f64 (sqrt.f64 x)) (log.f64 1/2) (pow.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 2)))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 (log.f64 (*.f64 2 x)) (log.f64 (/.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))) -1)
(log.f64 (*.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2))
(log.f64 (*.f64 2 x))
(log.f64 (exp.f64 (log.f64 (*.f64 2 x))))
(log.f64 (*.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (log.f64 (*.f64 2 x)))))
(log.f64 (*.f64 2 x))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (-.f64 (sqrt.f64 x) 1))))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1)) (sqrt.f64 x)))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1)) (+.f64 1 (-.f64 (sqrt.f64 x) 1))))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 x) 1)) (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (sqrt.f64 x) 1)) (+.f64 1 (fma.f64 2 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 2 x))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(log.f64 (*.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3))
(log.f64 (*.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 x))))
(log.f64 (*.f64 2 x))
(exp.f64 (log.f64 (log.f64 (*.f64 2 x))))
(log.f64 (*.f64 2 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 x))) 1))
(log.f64 (*.f64 2 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 x))) 1) 1))
(log.f64 (*.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (*.f64 2 x)))) 3))
(log.f64 (*.f64 2 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3)) 1/3))
(log.f64 (*.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 2 x)))) 2))
(log.f64 (*.f64 2 x))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 2 x))))
(log.f64 (*.f64 2 x))
(fma.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) 1 (log.f64 (sqrt.f64 x)))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(fma.f64 1/2 (log.f64 x) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (log.f64 x) 1/2 (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (log.f64 x) 1/2 (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 1/2 (log.f64 x) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (log.f64 (sqrt.f64 x)) 1 (log.f64 (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(fma.f64 1 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(fma.f64 1 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(fma.f64 1 (log.f64 2) (log.f64 x))
(log.f64 (*.f64 2 x))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (log.f64 (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) 2) (cbrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) 2) (log.f64 (sqrt.f64 x)))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) 2) (cbrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) (log.f64 (sqrt.f64 x)))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) 1/2) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 1/2 (log.f64 x) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (log.f64 x) 1/2 (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 x))) (sqrt.f64 (log.f64 (sqrt.f64 x))) (log.f64 (*.f64 2 (sqrt.f64 x))))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) (sqrt.f64 (log.f64 (*.f64 2 (sqrt.f64 x)))) (log.f64 (sqrt.f64 x)))
(log.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (+.f64 1 (+.f64 (sqrt.f64 x) -1))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (+.f64 (sqrt.f64 x) 0))))
(log.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) 1/2) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 1/2 (log.f64 x) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (log.f64 x) 1/2 (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (log.f64 x))
(log.f64 (*.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(log.f64 (*.f64 2 x))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 1/2 (log.f64 x) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (log.f64 x) 1/2 (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 1/2 (log.f64 x) (log.f64 (*.f64 2 (sqrt.f64 x))))
(fma.f64 (log.f64 x) 1/2 (log.f64 (*.f64 2 (sqrt.f64 x))))

eval53.0ms (0.5%)

Compiler

Compiled 1087 to 715 computations (34.2% saved)

prune13.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New73073
Fresh011
Picked011
Done055
Total73780
Accurracy
100.0%
Counts
80 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.0%
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (*.f64 1/2 (log.f64 x)))
✓98.9%
(+.f64 (log.f64 2) (log.f64 x))
✓99.2%
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓54.6%
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓98.8%
(log.f64 (+.f64 x x))
✓31.4%
(log.f64 (+.f64 x -1))
1.6%
-1
Compiler

Compiled 99 to 70 computations (29.3% saved)

regimes22.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
-1
(log.f64 (+.f64 x -1))
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (*.f64 1/2 (log.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
Calls

3 calls:

8.0ms
x
6.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
6.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
99.2%1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 72 to 48 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
-1
(log.f64 (+.f64 x -1))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (+.f64 x x))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
31.4%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
1.6%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Rules
10×+-commutative
6×sub-neg
4×neg-mul-1
4×*-commutative
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01446
11846
22446
32846
43146
53246
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x -1))
-1
Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x -1))
-1
Compiler

Compiled 21 to 15 computations (28.6% saved)

soundness372.0ms (3.3%)

Rules
1734×fma-def
1244×log-prod
1054×fma-neg
678×fma-neg
662×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05597503
112907175
239736851
05544727
117424727
01564
133156
2472456
05544727
117424727
Stop Event
1×unsound
1×node limit
1×unsound
1×node limit
Compiler

Compiled 214 to 121 computations (43.5% saved)

end58.0ms (0.5%)

Compiler

Compiled 56 to 38 computations (32.1% saved)

Profiling

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