symmetry log of sum of exp

Details

Time bar (total: 14.6s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample9.7s (66.9%)

Results
7.6s7825×body8192exit
1.0s2008×body1024valid
655.0ms5026×body256valid
325.0ms995×body512valid
158.0ms227×body2048valid
Bogosity

preprocess42.0ms (0.3%)

Algorithm
egg-herbie
Rules
swap-a-b
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
11138
022
122
Stop Event
unsound
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
0
Call 2
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
11019
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
52.4%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
52.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize62.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
52.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 20 to 7 computations (65% saved)

series78.0ms (0.5%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
26.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
22.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
16.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
12.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite69.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1792×pow1
1646×add-exp-log
1646×log1p-expm1-u
1646×expm1-log1p-u
1606×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
117734
2226234
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
Outputs
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))

simplify88.0ms (0.6%)

Algorithm
egg-herbie
Rules
1574×fma-def
856×unswap-sqr
748×log-prod
746×fma-neg
610×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01972874
14872502
216162316
371442316
Stop Event
node limit
Counts
72 → 119
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
Outputs
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
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(/.f64 1 (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 2) b)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 2) b)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 2) b)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 2) b)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))

eval34.0ms (0.2%)

Compiler

Compiled 2074 to 1062 computations (48.8% saved)

prune29.0ms (0.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1118119
Fresh000
Picked101
Done000
Total1128120
Accurracy
99.0%
Counts
120 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
51.7%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
98.1%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
48.8%
(log1p.f64 (exp.f64 b))
49.2%
(log1p.f64 (exp.f64 a))
51.3%
(log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))))
50.6%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
51.1%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
98.2%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
51.7%
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
98.1%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
48.8%
(log1p.f64 (exp.f64 b))
49.2%
(log1p.f64 (exp.f64 a))
51.3%
(log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))))
50.6%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
51.1%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
Compiler

Compiled 340 to 256 computations (24.7% saved)

localize316.0ms (2.2%)

Local Accuracy

Found 13 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 b (*.f64 1/2 (*.f64 b b)))
100.0%
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
100.0%
(fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
54.3%
(log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))))
100.0%
(expm1.f64 b)
98.1%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
100.0%
(+.f64 (exp.f64 a) (+.f64 1 b))
54.3%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
100.0%
(log1p.f64 (exp.f64 a))
100.0%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
100.0%
(log1p.f64 (exp.f64 a))
100.0%
(+.f64 1 (exp.f64 a))
100.0%
(/.f64 b (+.f64 1 (exp.f64 a)))
Compiler

Compiled 158 to 71 computations (55.1% saved)

series236.0ms (1.6%)

Counts
13 → 224
Calls

63 calls:

TimeVariablePointExpression
68.0ms
a
@inf
(log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))))
32.0ms
a
@-inf
(/.f64 b (+.f64 1 (exp.f64 a)))
29.0ms
b
@inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
16.0ms
a
@-inf
(log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))))
13.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

rewrite141.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
652×add-sqr-sqrt
638×pow1
634×*-un-lft-identity
614×add-exp-log
612×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029295
1644279
Stop Event
node limit
Counts
13 → 337
Calls
Call 1
Inputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(log1p.f64 (exp.f64 a))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(expm1.f64 b)
(log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 b (*.f64 1/2 (*.f64 b b)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)
(*.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (neg.f64 b) (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1)
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))
(log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 1 (exp.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a)))))
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(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 2))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1))
(+.f64 (exp.f64 b) -1)
(-.f64 (exp.f64 b) 1)
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(pow.f64 (pow.f64 (expm1.f64 b) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 b)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 b) 2))
(log.f64 (exp.f64 (expm1.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 b))))
(cbrt.f64 (pow.f64 (expm1.f64 b) 3))
(exp.f64 (log.f64 (expm1.f64 b)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 b)) 1))
(log1p.f64 (expm1.f64 (expm1.f64 b)))
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(log.f64 (exp.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))
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(exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 1)
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(*.f64 1 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
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(*.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)) (/.f64 1 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 1 (/.f64 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 1/2 (*.f64 b b))))) (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 6) 1/8))))
(/.f64 1 (/.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))))
(/.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 6) 1/8)) (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 1/2 (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)) (+.f64 b (*.f64 -1/2 (*.f64 b b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 6) 1/8))) (neg.f64 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 1/2 (*.f64 b b)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))) (neg.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (+.f64 (*.f64 (pow.f64 b 6) 1/8) (pow.f64 b 3)) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (*.f64 b b) (*.f64 (*.f64 1/2 (*.f64 b b)) b))))
(/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b b)) (-.f64 (*.f64 1/2 (*.f64 b b)) b))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1 b (*.f64 1/2 (*.f64 b b)))
(fma.f64 1 (*.f64 1/2 (*.f64 b b)) b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 (*.f64 b b) 1/2 b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 1/2 (*.f64 b b)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 b b))) b)
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 1/2 (*.f64 b b)))
(fma.f64 (*.f64 1/2 b) b b)

simplify165.0ms (1.1%)

Algorithm
egg-herbie
Rules
1482×fma-def
704×associate-+r+
642×distribute-rgt-in
606×associate-+l+
602×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096519311
1250818755
Stop Event
node limit
Counts
561 → 604
Calls
Call 1
Inputs
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (/.f64 1 (+.f64 2 b))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (/.f64 1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(+.f64 2 b)
(+.f64 2 (+.f64 a b))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) b))))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
b
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (*.f64 1/24 (pow.f64 b 4)) (+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(-.f64 (exp.f64 b) 1)
(-.f64 (exp.f64 b) 1)
(-.f64 (exp.f64 b) 1)
(-.f64 (exp.f64 b) 1)
(-.f64 (exp.f64 b) 1)
(-.f64 (exp.f64 b) 1)
(-.f64 (exp.f64 b) 1)
(-.f64 (exp.f64 b) 1)
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -3 (log.f64 (/.f64 1 b))) (log.f64 1/6))
(+.f64 (*.f64 -3 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 3 (/.f64 1 b)) (log.f64 1/6)))
(+.f64 (*.f64 3 (/.f64 1 b)) (+.f64 (*.f64 -3 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 b 2))) (log.f64 1/6))))
(+.f64 (*.f64 3 (/.f64 1 b)) (+.f64 (*.f64 1/6 (/.f64 (-.f64 (*.f64 36 (+.f64 1 (exp.f64 a))) 54) (pow.f64 b 3))) (+.f64 (*.f64 -3 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 b 2))) (log.f64 1/6)))))
(+.f64 (*.f64 -3 (log.f64 (/.f64 -1 b))) (log.f64 -1/6))
(+.f64 (*.f64 -3 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1/6) (*.f64 3 (/.f64 1 b))))
(+.f64 (*.f64 3 (/.f64 1 b)) (+.f64 (*.f64 -3 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1/6) (*.f64 3/2 (/.f64 1 (pow.f64 b 2))))))
(+.f64 (*.f64 3 (/.f64 1 b)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 54 (*.f64 -36 (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 -3 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1/6) (*.f64 3/2 (/.f64 1 (pow.f64 b 2)))))))
(log.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (log.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) (/.f64 a (+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) (/.f64 1 (pow.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) 2))))) (+.f64 (log.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) (/.f64 a (+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
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b
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(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2)
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(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1))
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(pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))) 2)
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(exp.f64 (log.f64 (log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))) 1))
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(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))) 1)
(*.f64 1 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 2) (cbrt.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(*.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) (sqrt.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/6 (pow.f64 b 3)) 3) (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3)) (+.f64 (*.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/6 (pow.f64 b 3))) (-.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2) (*.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))
(/.f64 (-.f64 (*.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/6 (pow.f64 b 3))) (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2)) (-.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(pow.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 3)
(pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 2))) (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))) (sqrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))
(sqrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2))
(log.f64 (exp.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (/.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2) (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(*.f64 1 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(*.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2) (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)) (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2) (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2) (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)) (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 1/2 (*.f64 b b)))))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))) (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 6) 1/8)))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))) (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 1/2 (*.f64 b b)))))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 b (*.f64 -1/2 (*.f64 b b)))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))) (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))) (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 1/2 (*.f64 b b)))))) (*.f64 (-.f64 1 (exp.f64 a)) (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 6) 1/8)))) (*.f64 (-.f64 1 (exp.f64 a)) (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 1/2 (*.f64 b b)))))))
(/.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (+.f64 b (*.f64 -1/2 (*.f64 b b)))) (*.f64 (-.f64 1 (exp.f64 a)) (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)))) (*.f64 (-.f64 1 (exp.f64 a)) (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2) (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2))) (neg.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3)) (+.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2) (*.f64 (+.f64 1 (exp.f64 a)) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3) 1) (+.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2) (-.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2)) (-.f64 (+.f64 1 (exp.f64 a)) (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2) 1) (-.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 1))
(pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(fma.f64 1 (+.f64 1 (exp.f64 a)) (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))) (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(fma.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))) (fma.f64 1/2 (*.f64 b b) b))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b))) 1)
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (*.f64 -1/2 (*.f64 b b)))) (/.f64 (*.f64 (pow.f64 b 4) 1/4) (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(*.f64 1 (fma.f64 1/2 (*.f64 b b) b))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)))
(*.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)))
(*.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 6) 1/8)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 1/2 (*.f64 b b)))))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)) (/.f64 1 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 1 (/.f64 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 1/2 (*.f64 b b))))) (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 6) 1/8))))
(/.f64 1 (/.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))))
(/.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 6) 1/8)) (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 1/2 (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)) (+.f64 b (*.f64 -1/2 (*.f64 b b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 6) 1/8))) (neg.f64 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 1/2 (*.f64 b b)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))) (neg.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (+.f64 (*.f64 (pow.f64 b 6) 1/8) (pow.f64 b 3)) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (*.f64 b b) (*.f64 (*.f64 1/2 (*.f64 b b)) b))))
(/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b b)) (-.f64 (*.f64 1/2 (*.f64 b b)) b))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1 b (*.f64 1/2 (*.f64 b b)))
(fma.f64 1 (*.f64 1/2 (*.f64 b b)) b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 (*.f64 b b) 1/2 b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 1/2 (*.f64 b b)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 b b))) b)
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 1/2 (*.f64 b b)))
(fma.f64 (*.f64 1/2 b) b b)
Outputs
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 1/2 (*.f64 -1/4 a)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a))))
(fma.f64 1/2 b (fma.f64 -1/4 (*.f64 b a) (*.f64 (*.f64 a a) 0)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 1/2 b (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 (*.f64 a a) 0)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 a (*.f64 (pow.f64 a 3) 1/6))))
(+.f64 (fma.f64 1/2 (*.f64 a a) 2) (fma.f64 (pow.f64 a 3) 1/6 a))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 (*.f64 a a) 1/8))
(fma.f64 1/2 a (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 (*.f64 a a) 1/8)))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 (*.f64 a a) 1/8 (*.f64 -1/192 (pow.f64 a 4))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
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b
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(-.f64 (exp.f64 b) 1)
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(-.f64 (exp.f64 b) 1)
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(-.f64 (exp.f64 b) 1)
(expm1.f64 b)
(-.f64 (exp.f64 b) 1)
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(-.f64 (exp.f64 b) 1)
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(-.f64 (exp.f64 b) 1)
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(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 0 (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(log1p.f64 (exp.f64 a))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 a) 2))) (log1p.f64 (neg.f64 (exp.f64 a))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) 1)
(log1p.f64 (exp.f64 a))
(*.f64 1 (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
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(log1p.f64 (exp.f64 a))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)
(log1p.f64 (exp.f64 a))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)
(log1p.f64 (exp.f64 a))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
(log1p.f64 (exp.f64 a))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(fabs.f64 (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
(log1p.f64 (exp.f64 a))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (exp.f64 a))
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(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 b 1) 3))) (log.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)) (exp.f64 (+.f64 a (log1p.f64 b))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))) 1)
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(log1p.f64 (+.f64 b (exp.f64 a)))
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(log1p.f64 (+.f64 b (exp.f64 a)))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 1)
(log1p.f64 (+.f64 b (exp.f64 a)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))) 3)
(log1p.f64 (+.f64 b (exp.f64 a)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 3) 1/3)
(log1p.f64 (+.f64 b (exp.f64 a)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))) 2)
(log1p.f64 (+.f64 b (exp.f64 a)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2))
(fabs.f64 (log1p.f64 (+.f64 b (exp.f64 a))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 3))
(log1p.f64 (+.f64 b (exp.f64 a)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))) 1))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 1))
(log1p.f64 (+.f64 (exp.f64 a) (-.f64 (+.f64 b 1) 1)))
(log1p.f64 (+.f64 (+.f64 b (exp.f64 a)) 0))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))) 1)
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (+.f64 b 1))) (/.f64 (pow.f64 (+.f64 b 1) 2) (-.f64 (exp.f64 a) (+.f64 b 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)) (-.f64 (exp.f64 a) (+.f64 b 1)))
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(+.f64 (exp.f64 a) (+.f64 b 1))
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(+.f64 b (+.f64 1 (exp.f64 a)))
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(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (+.f64 b 1)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)) (-.f64 (exp.f64 a) (+.f64 b 1)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)) (+.f64 (-.f64 (exp.f64 a) b) -1))
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(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)) (-.f64 (exp.f64 a) (+.f64 b 1)))
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(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
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(+.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 1))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
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(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 1 (exp.f64 a) (+.f64 b 1))
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(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 1 (+.f64 1 (exp.f64 a)) b)
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 1 (+.f64 b 1) (exp.f64 a))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))) b)
(+.f64 (exp.f64 a) (+.f64 b 1))
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b 1)) 2) (cbrt.f64 (+.f64 b 1)) (exp.f64 a))
(+.f64 (exp.f64 a) (+.f64 b 1))
(+.f64 b (+.f64 1 (exp.f64 a)))
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(+.f64 (exp.f64 a) (+.f64 b 1))
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(pow.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(pow.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2))
(fabs.f64 (+.f64 (exp.f64 a) (+.f64 1 (fma.f64 1/2 (*.f64 b b) b))))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(expm1.f64 (log1p.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1 (+.f64 1 (exp.f64 a)) (fma.f64 1/2 (*.f64 b b) b))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 1)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))) (fma.f64 1/2 (*.f64 b b) b))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))) (fma.f64 1/2 (*.f64 b b) b))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b))) 1)
(fma.f64 1/2 (*.f64 b b) b)
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (*.f64 -1/2 (*.f64 b b)))) (/.f64 (*.f64 (pow.f64 b 4) 1/4) (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))) (+.f64 b (*.f64 -1/2 (*.f64 b b))))
(/.f64 (fma.f64 b b (*.f64 -1/4 (pow.f64 b 4))) (fma.f64 -1/2 (*.f64 b b) b))
(*.f64 1 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 6) 1/8)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 1/2 (*.f64 b b)))))))
(*.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3))))))
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 -1/2 (pow.f64 b 3)))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)) (/.f64 1 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))) (+.f64 b (*.f64 -1/2 (*.f64 b b))))
(/.f64 (fma.f64 b b (*.f64 -1/4 (pow.f64 b 4))) (fma.f64 -1/2 (*.f64 b b) b))
(/.f64 1 (/.f64 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 1/2 (*.f64 b b))))) (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 6) 1/8))))
(*.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3))))))
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 -1/2 (pow.f64 b 3)))))
(/.f64 1 (/.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))) (+.f64 b (*.f64 -1/2 (*.f64 b b))))
(/.f64 (fma.f64 b b (*.f64 -1/4 (pow.f64 b 4))) (fma.f64 -1/2 (*.f64 b b) b))
(/.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 6) 1/8)) (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 1/2 (*.f64 b b))))))
(*.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3))))))
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 -1/2 (pow.f64 b 3)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)) (+.f64 b (*.f64 -1/2 (*.f64 b b))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))) (+.f64 b (*.f64 -1/2 (*.f64 b b))))
(/.f64 (fma.f64 b b (*.f64 -1/4 (pow.f64 b 4))) (fma.f64 -1/2 (*.f64 b b) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 b 6) 1/8))) (neg.f64 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 1/2 (*.f64 b b)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 b 3))) (neg.f64 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3))))))
(*.f64 1 (/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 -1/2 (pow.f64 b 3))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))) (neg.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4)))) (neg.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(*.f64 1 (/.f64 (fma.f64 b b (*.f64 -1/4 (pow.f64 b 4))) (fma.f64 -1/2 (*.f64 b b) b)))
(/.f64 (+.f64 (*.f64 (pow.f64 b 6) 1/8) (pow.f64 b 3)) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (*.f64 b b) (*.f64 (*.f64 1/2 (*.f64 b b)) b))))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 b 3)) (fma.f64 (pow.f64 b 4) 1/4 (-.f64 (*.f64 b b) (*.f64 1/2 (pow.f64 b 3)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3)) (fma.f64 b (fma.f64 -1/2 (*.f64 b b) b) (*.f64 1/4 (pow.f64 b 4))))
(/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b b)) (-.f64 (*.f64 1/2 (*.f64 b b)) b))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 1/2 b) b) b))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(fma.f64 1/2 (*.f64 b b) b)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(fma.f64 1/2 (*.f64 b b) b)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(fma.f64 1/2 (*.f64 b b) b)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(fma.f64 1/2 (*.f64 b b) b)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(fabs.f64 (fma.f64 1/2 (*.f64 b b) b))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b))))
(fma.f64 1/2 (*.f64 b b) b)
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(fma.f64 1/2 (*.f64 b b) b)
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)) 1))
(fma.f64 1/2 (*.f64 b b) b)
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 1 b (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 1 (*.f64 1/2 (*.f64 b b)) b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 (*.f64 b b) 1/2 b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 b b))) b)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (*.f64 (*.f64 1/2 b) b)) b)
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 (*.f64 1/2 b) b b)
(fma.f64 1/2 (*.f64 b b) b)

eval249.0ms (1.7%)

Compiler

Compiled 13466 to 8383 computations (37.7% saved)

prune110.0ms (0.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New62412636
Fresh213
Picked415
Done000
Total63014644
Accurracy
99.0%
Counts
644 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.5%
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
53.8%
(/.f64 b (+.f64 1 (exp.f64 a)))
47.9%
(+.f64 (*.f64 1/2 b) (log.f64 2))
47.3%
(+.f64 (*.f64 1/2 a) (log.f64 2))
97.0%
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3))
98.2%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))
98.2%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
48.8%
(log1p.f64 (exp.f64 b))
49.2%
(log1p.f64 (exp.f64 a))
48.2%
(log.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
47.8%
(log.f64 (+.f64 b 2))
1.5%
(log.f64 b)
47.4%
(log.f64 2)
98.1%
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
48.5%
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
53.8%
(/.f64 b (+.f64 1 (exp.f64 a)))
47.9%
(+.f64 (*.f64 1/2 b) (log.f64 2))
47.3%
(+.f64 (*.f64 1/2 a) (log.f64 2))
97.0%
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3))
98.2%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))
98.2%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
48.8%
(log1p.f64 (exp.f64 b))
49.2%
(log1p.f64 (exp.f64 a))
48.2%
(log.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
47.8%
(log.f64 (+.f64 b 2))
1.5%
(log.f64 b)
47.4%
(log.f64 2)
98.1%
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
Compiler

Compiled 514 to 404 computations (21.4% saved)

localize167.0ms (1.1%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 1 (exp.f64 a))
100.0%
(/.f64 b (+.f64 1 (exp.f64 a)))
100.0%
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
99.9%
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
98.1%
(log1p.f64 (exp.f64 b))
100.0%
(+.f64 (*.f64 1/2 a) (log.f64 2))
100.0%
(+.f64 1 (exp.f64 a))
100.0%
(/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))))
100.0%
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
99.3%
(log1p.f64 (+.f64 1 (exp.f64 a)))
Compiler

Compiled 120 to 63 computations (47.5% saved)

series103.0ms (0.7%)

Counts
7 → 111
Calls

30 calls:

TimeVariablePointExpression
21.0ms
a
@-inf
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
19.0ms
b
@-inf
(log1p.f64 (exp.f64 b))
16.0ms
a
@inf
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
15.0ms
a
@inf
(log1p.f64 (+.f64 1 (exp.f64 a)))
13.0ms
b
@inf
(log1p.f64 (exp.f64 b))

rewrite117.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1824×log-prod
1376×fma-def
710×expm1-udef
706×log1p-udef
494×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023131
1440131
25336131
Stop Event
node limit
Counts
7 → 252
Calls
Call 1
Inputs
(log1p.f64 (+.f64 1 (exp.f64 a)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
Outputs
(+.f64 0 (log.f64 (+.f64 2 (exp.f64 a))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 2 (exp.f64 a))) (cbrt.f64 (+.f64 2 (exp.f64 a))))) (log.f64 (cbrt.f64 (+.f64 2 (exp.f64 a)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 (exp.f64 a)))) (log.f64 (sqrt.f64 (+.f64 2 (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 (exp.f64 a))))) 1)
(*.f64 1 (log.f64 (+.f64 2 (exp.f64 a))))
(*.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 2)) (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 2))
(log.f64 (+.f64 2 (exp.f64 a)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 1))
(+.f64 1 (exp.f64 a))
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(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (neg.f64 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 3) 1) (fma.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (*.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 (fma.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) -1) (+.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1))
(pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 1 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) -1)
(fma.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a)))
(fma.f64 (log1p.f64 (exp.f64 a)) 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) -1)
(fma.f64 (sqrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) -1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(+.f64 0 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (sqrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) 1)
(*.f64 1 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(*.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2))
(log.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1))

simplify160.0ms (1.1%)

Algorithm
egg-herbie
Rules
786×fma-def
694×log-prod
682×fma-neg
518×associate-*r*
476×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068411989
1166411231
2623411201
Stop Event
node limit
Counts
363 → 447
Calls
Call 1
Inputs
(log.f64 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(+.f64 (*.f64 1/81 (pow.f64 a 3)) (+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 2)
(*.f64 1/2 a)
(*.f64 1/2 a)
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (+.f64 (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))))))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (+.f64 (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 3)))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)))))))
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(expm1.f64 (log1p.f64 (fma.f64 a 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 a 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 1/2 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 a 1/2 (log.f64 2))))
(fma.f64 1 (*.f64 a 1/2) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 a 1/2))
(fma.f64 a 1/2 (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 (*.f64 a 1/2) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 a 1/2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 a 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 a 1/2))
(fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) 1/2) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 a 1/2)) (pow.f64 (cbrt.f64 (*.f64 a 1/2)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 1/2)) 2) (cbrt.f64 (*.f64 a 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 a 1/2))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 a 1/2)) (sqrt.f64 (*.f64 a 1/2)) (log.f64 2))
(fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 a)) (sqrt.f64 a) (log.f64 2))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (cbrt.f64 (+.f64 1 (exp.f64 b))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 1 (exp.f64 b)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 0 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(+.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(-.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(*.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))
(*.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 1 (exp.f64 a)) b)))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (neg.f64 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 3) 1) (fma.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (*.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 (fma.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) -1) (+.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1))
(pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 1 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) -1)
(fma.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a)))
(fma.f64 (log1p.f64 (exp.f64 a)) 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) -1)
(fma.f64 (sqrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) -1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(+.f64 0 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (sqrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) 1)
(*.f64 1 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(*.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2))
(log.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1))
Outputs
(log.f64 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(fma.f64 1/3 a (log.f64 3))
(+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3)))
(+.f64 (*.f64 1/81 (pow.f64 a 3)) (+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(fma.f64 1/81 (pow.f64 a 3) (fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 a 2)
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(log.f64 (+.f64 2 (exp.f64 a)))
(exp.f64 (log.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
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(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 (expm1.f64 a)))) (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2)))
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(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
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(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
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(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
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(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
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(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 (neg.f64 b) (-.f64 -1 (exp.f64 a))))
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) -1)
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) -1)
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (/.f64 b (+.f64 2 (expm1.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 a))) 2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (log1p.f64 (exp.f64 a)))
(fma.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(fma.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log1p.f64 (exp.f64 a)))
(fma.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (pow.f64 (exp.f64 2) a))) (log1p.f64 (exp.f64 a)))
(+.f64 0 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (cbrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (sqrt.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) 1)
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 1 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3)
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3) 1/3)
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2)
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 2))
(fabs.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a))))

eval231.0ms (1.6%)

Compiler

Compiled 13380 to 8070 computations (39.7% saved)

prune114.0ms (0.8%)

Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New6698677
Fresh088
Picked235
Done011
Total67120691
Accurracy
99.0%
Counts
691 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.5%
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
53.8%
(/.f64 b (+.f64 1 (exp.f64 a)))
47.9%
(+.f64 (*.f64 1/2 b) (log.f64 2))
47.3%
(+.f64 (*.f64 1/2 a) (log.f64 2))
97.0%
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3))
56.6%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 2))))
98.2%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
2.5%
(*.f64 a 1/2)
48.8%
(log1p.f64 (exp.f64 b))
49.2%
(log1p.f64 (exp.f64 a))
48.2%
(log.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
47.8%
(log.f64 (+.f64 b 2))
1.5%
(log.f64 b)
47.4%
(log.f64 2)
96.9%
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3))
2.9%
(expm1.f64 (+.f64 (*.f64 (/.f64 (+.f64 2 (expm1.f64 a)) b) (+.f64 1 (log1p.f64 (exp.f64 a)))) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
98.1%
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))))
98.1%
(expm1.f64 (log1p.f64 (+.f64 (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))))
47.3%
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
98.1%
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
48.5%
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
53.8%
(/.f64 b (+.f64 1 (exp.f64 a)))
47.9%
(+.f64 (*.f64 1/2 b) (log.f64 2))
47.3%
(+.f64 (*.f64 1/2 a) (log.f64 2))
97.0%
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3))
56.6%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 2))))
98.2%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
2.5%
(*.f64 a 1/2)
48.8%
(log1p.f64 (exp.f64 b))
49.2%
(log1p.f64 (exp.f64 a))
48.2%
(log.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
47.8%
(log.f64 (+.f64 b 2))
1.5%
(log.f64 b)
47.4%
(log.f64 2)
96.9%
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3))
2.9%
(expm1.f64 (+.f64 (*.f64 (/.f64 (+.f64 2 (expm1.f64 a)) b) (+.f64 1 (log1p.f64 (exp.f64 a)))) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
98.1%
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))))
98.1%
(expm1.f64 (log1p.f64 (+.f64 (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))))
47.3%
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
98.1%
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
Compiler

Compiled 828 to 646 computations (22% saved)

localize201.0ms (1.4%)

Local Accuracy

Found 13 expressions with local accuracy:

NewAccuracyProgram
100.0%
(log1p.f64 (+.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a))))
100.0%
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
99.9%
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))))
99.3%
(log1p.f64 (+.f64 1 (exp.f64 a)))
100.0%
(log1p.f64 (exp.f64 a))
100.0%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 2))))
98.4%
(log1p.f64 2)
100.0%
(+.f64 1 (exp.f64 a))
100.0%
(/.f64 b (+.f64 1 (exp.f64 a)))
100.0%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
100.0%
(/.f64 b (+.f64 1 (exp.f64 a)))
100.0%
(+.f64 1 (exp.f64 a))
99.9%
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
Compiler

Compiled 165 to 86 computations (47.9% saved)

series5.0ms (0%)

Counts
6 → 120
Calls

30 calls:

TimeVariablePointExpression
2.0ms
b
@-inf
(log1p.f64 (+.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a))))
0.0ms
a
@0
(log1p.f64 (+.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a))))
0.0ms
a
@inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 2))))
0.0ms
b
@inf
(log1p.f64 (+.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a))))
0.0ms
b
@0
(log1p.f64 (+.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a))))

rewrite124.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1736×log-prod
1566×fma-def
676×expm1-udef
674×log1p-udef
504×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024140
1451136
25430136
Stop Event
node limit
Counts
6 → 283
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log1p.f64 2)
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 2))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a))))
Outputs
(+.f64 0 (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 1)
(*.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(*.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(*.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 1 (exp.f64 a)) (cbrt.f64 b)))
(/.f64 (sqrt.f64 b) (/.f64 (+.f64 1 (exp.f64 a)) (sqrt.f64 b)))
(/.f64 (neg.f64 b) (+.f64 (neg.f64 (exp.f64 a)) -1))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(/.f64 (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 3) 1) (fma.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 1))))
(/.f64 (fma.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) -1) (+.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 1))
(/.f64 (/.f64 b 1) (+.f64 1 (exp.f64 a)))
(/.f64 (/.f64 b (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1)
(neg.f64 (/.f64 b (+.f64 (neg.f64 (exp.f64 a)) -1)))
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))
(log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(fma.f64 1 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) -1)
(-.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(-.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (-.f64 1 (log1p.f64 (exp.f64 a))))
(-.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)
(*.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(*.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))
(*.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(*.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (neg.f64 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (neg.f64 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3) 1) (fma.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (+.f64 1 (*.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))))
(/.f64 (fma.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) -1) (+.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 1 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) -1)
(fma.f64 1 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a)))
(fma.f64 (log1p.f64 (exp.f64 a)) 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
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(fma.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 1 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) -1)
(fma.f64 1 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a)))
(fma.f64 (log1p.f64 (exp.f64 a)) 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) -1)
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(+.f64 0 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) 1)
(*.f64 1 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(*.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1))

simplify177.0ms (1.2%)

Algorithm
egg-herbie
Rules
788×fma-neg
702×fma-def
672×div-sub
484×log-prod
428×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058516873
1149316259
2571416157
Stop Event
node limit
Counts
403 → 345
Calls
Call 1
Inputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2))))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 (+.f64 1 (exp.f64 a))))
(*.f64 1/2 b)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(*.f64 1/2 b)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 b))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (+.f64 (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2))))))
(+.f64 (log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) (+.f64 (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 3)))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))
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(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (neg.f64 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (neg.f64 (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3) 1) (fma.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (+.f64 1 (*.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))))
(/.f64 (fma.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) -1) (+.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 1 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) -1)
(fma.f64 1 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a)))
(fma.f64 (log1p.f64 (exp.f64 a)) 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) -1)
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(+.f64 0 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) 1)
(*.f64 1 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(*.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(*.f64 b 1/2)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a))))
(fma.f64 b 1/2 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))))
(fma.f64 b 1/2 (fma.f64 b (*.f64 a -1/4) (*.f64 a (*.f64 a 0))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 b 1/2 (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(fma.f64 b 1/2 (-.f64 (fma.f64 b (*.f64 a -1/4) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (-.f64 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
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(fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(+.f64 0 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) 1)
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 1 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1)
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3)
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3) 1/3)
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 2)
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(log.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))

eval320.0ms (2.2%)

Compiler

Compiled 18953 to 11446 computations (39.6% saved)

prune140.0ms (1%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New9875992
Fresh11011
Picked415
Done044
Total992201012
Accurracy
99.0%
Counts
1012 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.5%
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
4.9%
(/.f64 b (+.f64 a 2))
53.8%
(/.f64 b (+.f64 1 (exp.f64 a)))
12.2%
(/.f64 b 2)
47.9%
(+.f64 (*.f64 1/2 b) (log.f64 2))
47.3%
(+.f64 (*.f64 1/2 a) (log.f64 2))
97.0%
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3))
56.6%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
47.9%
(+.f64 (log.f64 2) (/.f64 b (expm1.f64 (log1p.f64 2))))
48.8%
(log1p.f64 (exp.f64 b))
49.2%
(log1p.f64 (exp.f64 a))
48.2%
(log.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
47.8%
(log.f64 (+.f64 b 2))
47.4%
(log.f64 2)
96.9%
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3))
2.9%
(expm1.f64 (+.f64 (*.f64 (/.f64 (+.f64 2 (expm1.f64 a)) b) (+.f64 1 (log1p.f64 (exp.f64 a)))) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
56.6%
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (expm1.f64 (log1p.f64 2))) (log1p.f64 (exp.f64 a)))))
98.1%
(expm1.f64 (log1p.f64 (+.f64 (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))))
47.3%
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
98.1%
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
Compiler

Compiled 523 to 357 computations (31.7% saved)

regimes54.0ms (0.4%)

Counts
34 → 1
Calls
Call 1
Inputs
(*.f64 a 1/2)
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 b 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 (log.f64 2) (/.f64 b (expm1.f64 (log1p.f64 2))))
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 2))))
(log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (expm1.f64 (log1p.f64 2))) (log1p.f64 (exp.f64 a)))))
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(expm1.f64 (log1p.f64 (+.f64 (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 3))
(expm1.f64 (+.f64 (*.f64 (/.f64 (+.f64 2 (expm1.f64 a)) b) (+.f64 1 (log1p.f64 (exp.f64 a)))) (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Calls

6 calls:

16.0ms
a
15.0ms
b
5.0ms
(exp.f64 b)
4.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
98.2%1a
98.2%1b
98.2%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.2%1(+.f64 (exp.f64 a) (exp.f64 b))
98.2%1(exp.f64 a)
98.2%1(exp.f64 b)
Compiler

Compiled 338 to 207 computations (38.8% saved)

regimes33.0ms (0.2%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 a 1/2)
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 b 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 (log.f64 2) (/.f64 b (expm1.f64 (log1p.f64 2))))
(expm1.f64 (log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Calls

6 calls:

10.0ms
b
8.0ms
a
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.1%1a
98.1%1b
98.1%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.1%1(+.f64 (exp.f64 a) (exp.f64 b))
98.1%1(exp.f64 a)
98.1%1(exp.f64 b)
Compiler

Compiled 124 to 86 computations (30.6% saved)

regimes75.0ms (0.5%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 a 1/2)
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 b 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

6 calls:

41.0ms
b
15.0ms
a
5.0ms
(exp.f64 a)
4.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
AccuracySegmentsBranch
98.8%2a
68.6%5b
98.1%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.1%2(+.f64 (exp.f64 a) (exp.f64 b))
98.8%2(exp.f64 a)
53.8%1(exp.f64 b)
Compiler

Compiled 100 to 67 computations (33% saved)

regimes21.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 a 1/2)
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 b 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
Calls

2 calls:

14.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.3%2a
98.3%2(exp.f64 a)
Compiler

Compiled 72 to 49 computations (31.9% saved)

regimes20.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 a 1/2)
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 b 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
Calls

2 calls:

14.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.1%2a
98.1%2(exp.f64 a)
Compiler

Compiled 59 to 41 computations (30.5% saved)

regimes18.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 a 1/2)
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 b 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
Calls

2 calls:

12.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.8%2a
97.8%2(exp.f64 a)
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes16.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 a 1/2)
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 b 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
Calls

2 calls:

10.0ms
a
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.2%2a
97.2%2(exp.f64 a)
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes18.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 a 1/2)
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 b 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
Outputs
(/.f64 b 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
Calls

2 calls:

11.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
47.9%1b
55.6%2a
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes11.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 a 1/2)
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 b 2))
Outputs
(/.f64 b 2)
(log.f64 (+.f64 b 2))
Calls

1 calls:

9.0ms
a
Results
AccuracySegmentsBranch
55.1%2a
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 a 1/2)
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
(log.f64 2)
(log.f64 b)
Outputs
(/.f64 b 2)
(log.f64 2)
Calls

1 calls:

8.0ms
a
Results
AccuracySegmentsBranch
54.8%2a
Compiler

Compiled 20 to 14 computations (30% saved)

regimes8.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 a 1/2)
(/.f64 b 2)
(/.f64 b (+.f64 a 2))
Outputs
(/.f64 b 2)
Calls

2 calls:

3.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
12.2%1b
12.2%1a
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 a 1/2)
Outputs
(*.f64 a 1/2)
Calls

2 calls:

3.0ms
a
2.0ms
b
Results
AccuracySegmentsBranch
2.5%1b
2.5%1a
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.20936073762895505
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.20936073762895505
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.20936073762895505
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.20936073762895505
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.20936073762895505
0.9999989765452902
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch18.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-1.5636964975100764
-1.0234552334841367e-6
Results
16.0ms144×body256valid
Compiler

Compiled 148 to 127 computations (14.2% saved)

bsearch23.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
-4621.497084931511
-1.5636964975100764
Results
15.0ms108×body256valid
4.0msbody1024valid
3.0ms12×body512valid
Compiler

Compiled 117 to 98 computations (16.2% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-4621.497084931511
-1.5636964975100764
Results
13.0ms109×body256valid
4.0ms15×body512valid
2.0msbody1024valid
Compiler

Compiled 101 to 90 computations (10.9% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
22×+-commutative
*-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056400
169400
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) 3602879701896397/9007199254740992) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b 2) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 a -125) (/.f64 b 2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -122) (/.f64 b 2) (log.f64 2))
(/.f64 b 2)
(*.f64 a 1/2)
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) 3602879701896397/9007199254740992) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 3602879701896397/9007199254740992) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 a 1/2) (log.f64 2)))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b 2) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b 2) (+.f64 (*.f64 a 1/2) (log.f64 2)))
(if (<=.f64 a -125) (/.f64 b 2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -122) (/.f64 b 2) (log.f64 2))
(/.f64 b 2)
(*.f64 a 1/2)
Compiler

Compiled 169 to 119 computations (29.6% saved)

soundness844.0ms (5.8%)

Rules
1792×pow1
1646×add-exp-log
1646×log1p-expm1-u
1646×expm1-log1p-u
1606×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01972874
14872502
216162316
371442316
01972874
14872502
216162316
371442316
068411989
1166411231
2623411201
01972874
14872502
216162316
371442316
096519311
1250818755
01972874
14872502
216162316
371442316
0934
117734
2226234
01972874
14872502
216162316
371442316
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 224 to 113 computations (49.6% saved)

end121.0ms (0.8%)

Compiler

Compiled 348 to 216 computations (37.9% saved)

Profiling

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