symmetry log of sum of exp

Time bar (total: 14.0s)

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)

sample9.5s (67.5%)

Results
7.3s7904×body8192exit
1.0s1984×body1024valid
670.0ms5048×body256valid
353.0ms1012×body512valid
142.0ms212×body2048valid
Bogosity

preprocess84.0ms (0.6%)

Algorithm
egg-herbie
Rules
1904×fma-def
1736×unswap-sqr
1042×associate-*r*
812×associate-/r*
708×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01984
13084
24084
35484
49084
516484
634684
782484
8227084
9576684
10797084
Stop Event
node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 (neg.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 (neg.f64 a)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 (neg.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)

simplify3.0ms (0%)

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
52.1%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.1%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
52.1%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize64.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
52.1%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 20 to 7 computations (65% saved)

series73.0ms (0.5%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
25.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
18.0ms
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)))

rewrite73.0ms (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))

simplify80.0ms (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))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.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)))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (*.f64 a 1/2)) (log1p.f64 (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)))))))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.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 (log1p.f64 (exp.f64 b)) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (log1p.f64 (exp.f64 b))) (fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(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 (log1p.f64 (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 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (log1p.f64 (exp.f64 a)) (/.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))))))
(fma.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (log1p.f64 (exp.f64 a))))
(+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 (pow.f64 b 3) (*.f64 1/6 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (log1p.f64 (exp.f64 a))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (exp.f64 b) (+.f64 1 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(fma.f64 1/2 (*.f64 a a) (+.f64 (exp.f64 b) (+.f64 1 a)))
(+.f64 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)))))
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) (fma.f64 1/6 (pow.f64 a 3) a))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (exp.f64 a) (+.f64 (fma.f64 1/2 (*.f64 b b) b) 1))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(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 (exp.f64 a) (+.f64 (fma.f64 1/2 (*.f64 b b) b) 1)))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.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 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.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) 2) (pow.f64 (exp.f64 2) b))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (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 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.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 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.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 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.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)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(-.f64 (+.f64 1 (+.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))
(-.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 (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 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))
(*.f64 1 (+.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))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.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))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.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))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.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))
(*.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) 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 1 (-.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 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))

eval32.0ms (0.2%)

Compiler

Compiled 2074 to 1062 computations (48.8% saved)

prune45.0ms (0.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New10910119
Fresh000
Picked101
Done000
Total11010120
Accurracy
98.7%
Counts
120 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
98.2%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
97.7%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
48.7%
(log1p.f64 (exp.f64 b))
48.2%
(log1p.f64 (exp.f64 a))
50.2%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
50.7%
(log.f64 (+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1))))
50.7%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
48.6%
(log.f64 (+.f64 1 (exp.f64 b)))
47.9%
(log.f64 (+.f64 1 (exp.f64 a)))
50.2%
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
98.2%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
97.7%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
48.7%
(log1p.f64 (exp.f64 b))
48.2%
(log1p.f64 (exp.f64 a))
50.2%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
50.7%
(log.f64 (+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1))))
50.7%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
48.6%
(log.f64 (+.f64 1 (exp.f64 b)))
47.9%
(log.f64 (+.f64 1 (exp.f64 a)))
Compiler

Compiled 372 to 284 computations (23.7% saved)

localize384.0ms (2.7%)

Local Accuracy

Found 11 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 a) (expm1.f64 b))
97.7%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
100.0%
(+.f64 (exp.f64 a) (+.f64 1 b))
54.4%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
100.0%
(+.f64 1 (exp.f64 a))
99.6%
(log.f64 (+.f64 1 (exp.f64 a)))
100.0%
(log1p.f64 (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)))
100.0%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Compiler

Compiled 88 to 34 computations (61.4% saved)

series146.0ms (1%)

Counts
11 → 160
Calls

51 calls:

TimeVariablePointExpression
42.0ms
b
@0
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
28.0ms
a
@inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
13.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
13.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
13.0ms
a
@-inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite140.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1714×fma-def
682×fma-neg
672×expm1-udef
672×log1p-udef
384×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018169
1387169
25378163
Stop Event
node limit
Counts
11 → 387
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 1 (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)))
(+.f64 (exp.f64 a) (expm1.f64 b))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (/.f64 1 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (neg.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
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(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (expm1.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (expm1.f64 b))
(fma.f64 (cbrt.f64 (expm1.f64 b)) (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (cbrt.f64 (expm1.f64 b)) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (expm1.f64 b))
(fma.f64 (sqrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 b)) (exp.f64 a))
(fma.f64 (*.f64 (cbrt.f64 (exp.f64 b)) (cbrt.f64 (exp.f64 b))) (cbrt.f64 (exp.f64 b)) (neg.f64 (-.f64 1 (exp.f64 a))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b)))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b)))) -1)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (neg.f64 (-.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b)))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b)))) -1)

simplify175.0ms (1.2%)

Algorithm
egg-herbie
Rules
1234×fma-neg
986×fma-def
548×associate-*r*
544×+-commutative
544×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081014295
1199913493
2740213493
Stop Event
node limit
Counts
547 → 511
Calls
Call 1
Inputs
(+.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 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)))
(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 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)))))
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 (+.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)))
(exp.f64 b)
(+.f64 a (exp.f64 b))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 a (exp.f64 b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b))))
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(exp.f64 a)
(+.f64 (exp.f64 a) b)
(+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (/.f64 1 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
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(fma.f64 1 (exp.f64 a) (expm1.f64 b))
(fma.f64 1 (expm1.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 b) (neg.f64 (-.f64 1 (exp.f64 a))))
(fma.f64 1 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b))) -1)
(fma.f64 (expm1.f64 b) 1 (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (expm1.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (expm1.f64 b))
(fma.f64 (cbrt.f64 (expm1.f64 b)) (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (cbrt.f64 (expm1.f64 b)) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (expm1.f64 b))
(fma.f64 (sqrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 b)) (exp.f64 a))
(fma.f64 (*.f64 (cbrt.f64 (exp.f64 b)) (cbrt.f64 (exp.f64 b))) (cbrt.f64 (exp.f64 b)) (neg.f64 (-.f64 1 (exp.f64 a))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b)))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b)))) -1)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (neg.f64 (-.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b)))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b)))) -1)
Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.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)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.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))))
(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 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (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 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (neg.f64 (pow.f64 a 3)) (+.f64 0 (*.f64 b -1/48)) (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (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 (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 (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 (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 (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 (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 (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 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (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 (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 (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 (log1p.f64 (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 (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 (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 (log1p.f64 (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 (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 (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 (log1p.f64 (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)))
(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 1/2 b (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))))
(fma.f64 1/2 b (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 1/2 b (-.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 1/2 b (-.f64 (fma.f64 b (*.f64 a -1/4) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a))
(+.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 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(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 -1/192 (pow.f64 a 4) (*.f64 (*.f64 1/8 a) 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))
(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 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 -1/192 (pow.f64 a 4) (*.f64 (*.f64 1/8 a) 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))
(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 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 -1/192 (pow.f64 a 4) (*.f64 (*.f64 1/8 a) a)))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a))
(+.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 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b 2))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))
(+.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 b 2)) (+.f64 (log.f64 (+.f64 b 2)) (*.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 b 2)) (/.f64 1 (pow.f64 (+.f64 b 2) 2)))))))
(+.f64 (/.f64 a (+.f64 b 2)) (fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 b 2)) (/.f64 -1 (pow.f64 (+.f64 b 2) 2))))) (log.f64 (+.f64 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))))))))
(+.f64 (/.f64 a (+.f64 b 2)) (+.f64 (log.f64 (+.f64 b 2)) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 b 2) 3)) (-.f64 (/.f64 1 (+.f64 b 2)) (/.f64 3 (pow.f64 (+.f64 b 2) 2))))) (*.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 b 2)) (/.f64 1 (pow.f64 (+.f64 b 2) 2))))))))
(+.f64 (/.f64 a (+.f64 b 2)) (+.f64 (fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 b 2)) (/.f64 -1 (pow.f64 (+.f64 b 2) 2))))) (log.f64 (+.f64 b 2))) (*.f64 (pow.f64 a 3) (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) (+.f64 (/.f64 2 (pow.f64 (+.f64 b 2) 3)) (/.f64 -3 (pow.f64 (+.f64 b 2) 2)))) 1/6))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (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 (log1p.f64 (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 (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (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 (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (log1p.f64 (exp.f64 a)))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 1 b)))
(+.f64 (/.f64 1 b) (+.f64 (log.f64 b) (/.f64 (exp.f64 a) 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) (fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (+.f64 (/.f64 1 b) (log.f64 b)) (/.f64 -1/2 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))
(+.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)))))
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b
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(-.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
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(+.f64 (exp.f64 a) (expm1.f64 b))
(fma.f64 (cbrt.f64 (expm1.f64 b)) (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (exp.f64 a))
(+.f64 (exp.f64 a) (-.f64 (exp.f64 b) 1))
(+.f64 (exp.f64 a) (expm1.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (cbrt.f64 (expm1.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 a) (-.f64 (exp.f64 b) 1))
(+.f64 (exp.f64 a) (expm1.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (expm1.f64 b))
(+.f64 (exp.f64 a) (-.f64 (exp.f64 b) 1))
(+.f64 (exp.f64 a) (expm1.f64 b))
(fma.f64 (sqrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 a) (-.f64 (exp.f64 b) 1))
(+.f64 (exp.f64 a) (expm1.f64 b))
(fma.f64 (*.f64 (cbrt.f64 (exp.f64 b)) (cbrt.f64 (exp.f64 b))) (cbrt.f64 (exp.f64 b)) (neg.f64 (-.f64 1 (exp.f64 a))))
(+.f64 (exp.f64 a) (-.f64 (exp.f64 b) 1))
(+.f64 (exp.f64 a) (expm1.f64 b))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b)))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b)))) -1)
(+.f64 1 (-.f64 (+.f64 (exp.f64 a) (expm1.f64 b)) 1))
(+.f64 (+.f64 (exp.f64 a) (expm1.f64 b)) 0)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (neg.f64 (-.f64 1 (exp.f64 a))))
(+.f64 (exp.f64 a) (-.f64 (exp.f64 b) 1))
(+.f64 (exp.f64 a) (expm1.f64 b))
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b)))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (expm1.f64 b)))) -1)
(+.f64 1 (-.f64 (+.f64 (exp.f64 a) (expm1.f64 b)) 1))
(+.f64 (+.f64 (exp.f64 a) (expm1.f64 b)) 0)

eval162.0ms (1.2%)

Compiler

Compiled 9374 to 5289 computations (43.6% saved)

prune167.0ms (1.2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New58014594
Fresh415
Picked325
Done000
Total58717604
Accurracy
98.7%
Counts
604 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.1%
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)
54.6%
(/.f64 b (+.f64 1 (exp.f64 a)))
48.0%
(+.f64 (*.f64 1/2 b) (log.f64 2))
46.2%
(+.f64 (*.f64 1/2 a) (log.f64 2))
98.2%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
61.1%
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
95.0%
(log1p.f64 (+.f64 (exp.f64 a) b))
48.7%
(log1p.f64 (exp.f64 b))
48.2%
(log1p.f64 (exp.f64 a))
47.8%
(log.f64 (+.f64 b 2))
45.0%
(log.f64 (+.f64 2 a))
47.9%
(log.f64 (+.f64 1 (exp.f64 a)))
1.7%
(log.f64 b)
47.1%
(log.f64 2)
98.2%
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
74.0%
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
62.9%
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))
73.1%
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)
54.6%
(/.f64 b (+.f64 1 (exp.f64 a)))
48.0%
(+.f64 (*.f64 1/2 b) (log.f64 2))
46.2%
(+.f64 (*.f64 1/2 a) (log.f64 2))
98.2%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
61.1%
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
95.0%
(log1p.f64 (+.f64 (exp.f64 a) b))
48.7%
(log1p.f64 (exp.f64 b))
48.2%
(log1p.f64 (exp.f64 a))
47.8%
(log.f64 (+.f64 b 2))
45.0%
(log.f64 (+.f64 2 a))
47.9%
(log.f64 (+.f64 1 (exp.f64 a)))
1.7%
(log.f64 b)
47.1%
(log.f64 2)
98.2%
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
74.0%
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
62.9%
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))
Compiler

Compiled 548 to 420 computations (23.4% saved)

localize145.0ms (1%)

Local Accuracy

Found 11 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 a) b)
100.0%
(log1p.f64 (+.f64 (exp.f64 a) b))
99.2%
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3)
67.1%
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))
100.0%
(+.f64 1 (exp.f64 a))
100.0%
(/.f64 b (+.f64 1 (exp.f64 a)))
100.0%
(log.f64 (+.f64 b 2))
100.0%
(log1p.f64 (exp.f64 a))
100.0%
(+.f64 (exp.f64 a) 1)
100.0%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
99.9%
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
Compiler

Compiled 104 to 49 computations (52.9% saved)

series13.0ms (0.1%)

Counts
8 → 151
Calls

42 calls:

TimeVariablePointExpression
3.0ms
a
@0
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3)
2.0ms
b
@inf
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3)
2.0ms
b
@-inf
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3)
1.0ms
b
@0
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3)
1.0ms
a
@inf
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3)

rewrite121.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1764×log-prod
1198×fma-def
694×expm1-udef
694×log1p-udef
584×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021132
1432132
25385132
Stop Event
node limit
Counts
8 → 298
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (exp.f64 a) 1)
(log.f64 (+.f64 b 2))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3)
(log1p.f64 (+.f64 (exp.f64 a) b))
(+.f64 (exp.f64 a) b)
Outputs
(+.f64 0 (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
(-.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(*.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))
(*.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)
(*.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(*.f64 (neg.f64 b) (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)))
(*.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))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(*.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) b))
(/.f64 1 (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))
(/.f64 (sqrt.f64 b) (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)))
(/.f64 (neg.f64 b) (+.f64 -1 (neg.f64 (exp.f64 a))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 a)))))
(/.f64 (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1) (fma.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1))))
(/.f64 (fma.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) -1) (+.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1))
(/.f64 (/.f64 b 1) (+.f64 (exp.f64 a) 1))
(/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (+.f64 (exp.f64 a) 1)))
(pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)
(pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)
(pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)
(neg.f64 (/.f64 b (+.f64 -1 (neg.f64 (exp.f64 a)))))
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))
(log.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 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 (exp.f64 a) 1))))
(fma.f64 1 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) -1)
(-.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 1 (log1p.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(*.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(*.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (/.f64 1 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (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 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (neg.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.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))))
(pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) 1)))
(log.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
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(-.f64 (log.f64 (fma.f64 b b -4)) (log.f64 (+.f64 b -2)))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (exp.f64 a))) 2) (cbrt.f64 (+.f64 b (exp.f64 a))))
(*.f64 (sqrt.f64 (+.f64 b (exp.f64 a))) (sqrt.f64 (+.f64 b (exp.f64 a))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (-.f64 b (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (*.f64 b b)) (/.f64 1 (-.f64 (exp.f64 a) b)))
(/.f64 1 (/.f64 (fma.f64 b (-.f64 b (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (*.f64 b b))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3)) (fma.f64 b (-.f64 b (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3)) (fma.f64 b b (-.f64 (pow.f64 (exp.f64 a) 2) (*.f64 b (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (*.f64 b b)) (-.f64 (exp.f64 a) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b (-.f64 b (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (*.f64 b b))) (neg.f64 (-.f64 (exp.f64 a) b)))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (exp.f64 a) 2)) (-.f64 b (exp.f64 a)))
(pow.f64 (+.f64 b (exp.f64 a)) 1)
(pow.f64 (cbrt.f64 (+.f64 b (exp.f64 a))) 3)
(pow.f64 (pow.f64 (+.f64 b (exp.f64 a)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 b (exp.f64 a))) 2)
(sqrt.f64 (pow.f64 (+.f64 b (exp.f64 a)) 2))
(log.f64 (exp.f64 (+.f64 b (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (exp.f64 a)))))
(log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 b (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (+.f64 b (exp.f64 a))))
(exp.f64 (log.f64 (+.f64 b (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (+.f64 b (exp.f64 a))))
(fma.f64 b 1 (exp.f64 a))
(fma.f64 (exp.f64 a) 1 b)
(fma.f64 1 b (exp.f64 a))
(fma.f64 1 (exp.f64 a) b)
(fma.f64 1 (+.f64 (+.f64 1 b) (exp.f64 a)) -1)
(fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (exp.f64 a) 2)) b)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (cbrt.f64 (exp.f64 a)) b)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (*.f64 (cbrt.f64 (exp.f64 a)) 1) b)
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) b)
(fma.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) 1) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (exp.f64 a))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a))) (cbrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a)))) (cbrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a))) -1)
(fma.f64 (sqrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a))) (sqrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a))) -1)

simplify139.0ms (1%)

Algorithm
egg-herbie
Rules
1396×fma-def
1016×associate-*r*
890×associate-*l*
748×associate-+r+
602×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087916631
1236615785
Stop Event
node limit
Counts
449 → 512
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))))
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))
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 b))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (*.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(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))))))
(pow.f64 (log.f64 (+.f64 2 b)) 3)
(+.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) (*.f64 a (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (+.f64 2 b)) (*.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (+.f64 2 b))))))
(+.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) (+.f64 (*.f64 a (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (+.f64 2 b)) (*.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (+.f64 2 b))))) (*.f64 (+.f64 (*.f64 (log.f64 (+.f64 2 b)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 2)) (*.f64 (log.f64 (+.f64 2 b)) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (*.f64 2 (/.f64 (log.f64 (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2))))) (pow.f64 a 2))))
(+.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) (+.f64 (*.f64 a (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (+.f64 2 b)) (*.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (+.f64 2 b))))) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (+.f64 (*.f64 (log.f64 (+.f64 2 b)) (-.f64 (+.f64 (*.f64 1/3 (*.f64 (log.f64 (+.f64 2 b)) (-.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 (pow.f64 (+.f64 2 b) 2))) (/.f64 1 (pow.f64 (+.f64 2 b) 3)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (log.f64 (+.f64 2 b)) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))) (+.f64 2 b))) (*.f64 1/6 (*.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (-.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 (+.f64 (*.f64 (log.f64 (+.f64 2 b)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 2)) (*.f64 (log.f64 (+.f64 2 b)) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (*.f64 2 (/.f64 (log.f64 (+.f64 2 b)) (pow.f64 (+.f64 2 b) 2))))) (pow.f64 a 2)))))
(pow.f64 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 3)
(pow.f64 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 3)
(pow.f64 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 3)
(pow.f64 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 3)
(pow.f64 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 3)
(pow.f64 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 3)
(pow.f64 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 3)
(pow.f64 (log.f64 (+.f64 1 (+.f64 (exp.f64 a) b))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3)
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (+.f64 1 (exp.f64 a))))) b) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3))
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (pow.f64 b 2)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) (+.f64 1 (exp.f64 a))))) b) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3)))
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b
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(*.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (*.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2)))
(*.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3/2) (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2) 3) (log1p.f64 (+.f64 b (exp.f64 a))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 3))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) 1) (log1p.f64 (+.f64 b (exp.f64 a))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3)))
(+.f64 0 (log1p.f64 (+.f64 b (exp.f64 a))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a))) (cbrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a))))) (log.f64 (cbrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a)))) (log.f64 (sqrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 1)
(*.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))
(*.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (+.f64 b (exp.f64 a))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2) 1/3) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3/2) 1/3))
(pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2))
(log.f64 (+.f64 (+.f64 1 b) (exp.f64 a)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 1/3))
(-.f64 (+.f64 (+.f64 1 b) (exp.f64 a)) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) b)) (/.f64 (*.f64 b b) (-.f64 (exp.f64 a) b)))
(*.f64 1 (+.f64 b (exp.f64 a)))
(*.f64 (+.f64 b (exp.f64 a)) 1)
(*.f64 (cbrt.f64 (+.f64 b (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 b (exp.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (exp.f64 a))) 2) (cbrt.f64 (+.f64 b (exp.f64 a))))
(*.f64 (sqrt.f64 (+.f64 b (exp.f64 a))) (sqrt.f64 (+.f64 b (exp.f64 a))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (-.f64 b (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (*.f64 b b)) (/.f64 1 (-.f64 (exp.f64 a) b)))
(/.f64 1 (/.f64 (fma.f64 b (-.f64 b (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (*.f64 b b))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3)) (fma.f64 b (-.f64 b (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3)) (fma.f64 b b (-.f64 (pow.f64 (exp.f64 a) 2) (*.f64 b (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (*.f64 b b)) (-.f64 (exp.f64 a) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b (-.f64 b (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (*.f64 b b))) (neg.f64 (-.f64 (exp.f64 a) b)))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (exp.f64 a) 2)) (-.f64 b (exp.f64 a)))
(pow.f64 (+.f64 b (exp.f64 a)) 1)
(pow.f64 (cbrt.f64 (+.f64 b (exp.f64 a))) 3)
(pow.f64 (pow.f64 (+.f64 b (exp.f64 a)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 b (exp.f64 a))) 2)
(sqrt.f64 (pow.f64 (+.f64 b (exp.f64 a)) 2))
(log.f64 (exp.f64 (+.f64 b (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (exp.f64 a)))))
(log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 b (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (+.f64 b (exp.f64 a))))
(exp.f64 (log.f64 (+.f64 b (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (+.f64 b (exp.f64 a))))
(fma.f64 b 1 (exp.f64 a))
(fma.f64 (exp.f64 a) 1 b)
(fma.f64 1 b (exp.f64 a))
(fma.f64 1 (exp.f64 a) b)
(fma.f64 1 (+.f64 (+.f64 1 b) (exp.f64 a)) -1)
(fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (exp.f64 a) 2)) b)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (cbrt.f64 (exp.f64 a)) b)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (*.f64 (cbrt.f64 (exp.f64 a)) 1) b)
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) b)
(fma.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) 1) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (exp.f64 a))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a))) (cbrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a)))) (cbrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a))) -1)
(fma.f64 (sqrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a))) (sqrt.f64 (+.f64 (+.f64 1 b) (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 -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 b 1/2 (fma.f64 -1/4 (*.f64 b a) (*.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)))))
(/.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)))
(+.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)))
(+.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)))
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))
(+.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))
(log.f64 2)
(+.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 1/2 b) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2))))
(+.f64 (fma.f64 1/2 b (log.f64 2)) (*.f64 -1/8 (*.f64 b b)))
(fma.f64 b 1/2 (fma.f64 -1/8 (*.f64 b b) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))))
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (+.f64 (log.f64 2) (*.f64 -1/8 (*.f64 b b)))))
(fma.f64 b 1/2 (fma.f64 1/24 (pow.f64 b 3) (fma.f64 -1/8 (*.f64 b b) (log.f64 2))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b)))
(fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b))
(+.f64 (log.f64 b) (/.f64 2 b))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 2 b) (+.f64 (log.f64 b) (/.f64 -2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
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(+.f64 (log1p.f64 (expm1.f64 (exp.f64 a))) (log1p.f64 (expm1.f64 b)))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (exp.f64 a))))
(+.f64 (exp.f64 a) (log1p.f64 (expm1.f64 b)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 b)))
(log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(+.f64 b (log1p.f64 (expm1.f64 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 b))))
(+.f64 (log1p.f64 (expm1.f64 (exp.f64 a))) (log1p.f64 (expm1.f64 b)))
(cbrt.f64 (pow.f64 (+.f64 b (exp.f64 a)) 3))
(+.f64 b (exp.f64 a))
(expm1.f64 (log1p.f64 (+.f64 b (exp.f64 a))))
(+.f64 b (exp.f64 a))
(exp.f64 (log.f64 (+.f64 b (exp.f64 a))))
(+.f64 b (exp.f64 a))
(exp.f64 (*.f64 (log.f64 (+.f64 b (exp.f64 a))) 1))
(+.f64 b (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 b (exp.f64 a))))
(+.f64 b (exp.f64 a))
(fma.f64 b 1 (exp.f64 a))
(+.f64 b (exp.f64 a))
(fma.f64 (exp.f64 a) 1 b)
(+.f64 b (exp.f64 a))
(fma.f64 1 b (exp.f64 a))
(+.f64 b (exp.f64 a))
(fma.f64 1 (exp.f64 a) b)
(+.f64 b (exp.f64 a))
(fma.f64 1 (+.f64 (+.f64 1 b) (exp.f64 a)) -1)
(+.f64 (+.f64 b 1) (-.f64 (exp.f64 a) 1))
(+.f64 b (+.f64 1 (expm1.f64 a)))
(fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (exp.f64 a) 2)) b)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (cbrt.f64 (exp.f64 a)) b)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (*.f64 (cbrt.f64 (exp.f64 a)) 1) b)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (cbrt.f64 (exp.f64 a)) b)
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (exp.f64 a))
(+.f64 b (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (exp.f64 a))
(+.f64 b (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) b)
(+.f64 b (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) 1) b)
(+.f64 b (exp.f64 a))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (exp.f64 a))
(+.f64 b (exp.f64 a))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a))) (cbrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a)))) (cbrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a))) -1)
(+.f64 (+.f64 b 1) (-.f64 (exp.f64 a) 1))
(+.f64 b (+.f64 1 (expm1.f64 a)))
(fma.f64 (sqrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a))) (sqrt.f64 (+.f64 (+.f64 1 b) (exp.f64 a))) -1)
(+.f64 (+.f64 b 1) (-.f64 (exp.f64 a) 1))
(+.f64 b (+.f64 1 (expm1.f64 a)))

eval283.0ms (2%)

Compiler

Compiled 13790 to 8670 computations (37.1% saved)

prune126.0ms (0.9%)

Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New6427649
Fresh4610
Picked145
Done022
Total64719666
Accurracy
98.7%
Counts
666 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.1%
(pow.f64 (sqrt.f64 (log.f64 (+.f64 b 2))) 2)
5.1%
(/.f64 b (+.f64 2 a))
54.6%
(/.f64 b (+.f64 1 (exp.f64 a)))
12.4%
(/.f64 b 2)
48.0%
(+.f64 (*.f64 1/2 b) (log.f64 2))
46.2%
(+.f64 (*.f64 1/2 a) (log.f64 2))
56.0%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
61.1%
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
5.3%
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
95.0%
(log1p.f64 (+.f64 (exp.f64 a) b))
48.7%
(log1p.f64 (exp.f64 b))
48.2%
(log1p.f64 (exp.f64 a))
47.8%
(log.f64 (+.f64 b 2))
45.0%
(log.f64 (+.f64 2 a))
47.9%
(log.f64 (+.f64 1 (exp.f64 a)))
47.1%
(log.f64 2)
98.2%
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
74.0%
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
62.9%
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))
47.1%
(pow.f64 (sqrt.f64 (log.f64 (+.f64 b 2))) 2)
5.1%
(/.f64 b (+.f64 2 a))
54.6%
(/.f64 b (+.f64 1 (exp.f64 a)))
12.4%
(/.f64 b 2)
48.0%
(+.f64 (*.f64 1/2 b) (log.f64 2))
46.2%
(+.f64 (*.f64 1/2 a) (log.f64 2))
56.0%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
61.1%
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
5.3%
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
95.0%
(log1p.f64 (+.f64 (exp.f64 a) b))
48.7%
(log1p.f64 (exp.f64 b))
48.2%
(log1p.f64 (exp.f64 a))
47.8%
(log.f64 (+.f64 b 2))
45.0%
(log.f64 (+.f64 2 a))
47.9%
(log.f64 (+.f64 1 (exp.f64 a)))
47.1%
(log.f64 2)
98.2%
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
74.0%
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
62.9%
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))
Compiler

Compiled 544 to 422 computations (22.4% saved)

localize148.0ms (1.1%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
100.0%
(log1p.f64 (exp.f64 a))
100.0%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
99.9%
(expm1.f64 (log1p.f64 (/.f64 b 2)))
98.5%
(log1p.f64 (exp.f64 b))
100.0%
(+.f64 (exp.f64 a) 1)
100.0%
(log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
100.0%
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
99.9%
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
Compiler

Compiled 103 to 52 computations (49.5% saved)

series118.0ms (0.8%)

Counts
6 → 120
Calls

30 calls:

TimeVariablePointExpression
66.0ms
a
@inf
(log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
17.0ms
b
@inf
(log1p.f64 (exp.f64 b))
16.0ms
a
@-inf
(log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
13.0ms
b
@-inf
(log1p.f64 (exp.f64 b))
1.0ms
a
@0
(log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))

rewrite124.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1688×log-prod
1256×fma-def
652×expm1-udef
652×log1p-udef
524×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020134
1388130
25051130
Stop Event
node limit
Counts
6 → 256
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (/.f64 b 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
Outputs
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 0 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(+.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(-.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(*.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(*.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(*.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 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 (exp.f64 a) 1))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))
(*.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 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 (exp.f64 a) 1))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) 1) b)))))
(/.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 (neg.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 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 (exp.f64 a) 1))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (neg.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 3) 1) (fma.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (+.f64 1 (*.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 1))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(/.f64 (fma.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) -1) (+.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 1))
(pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) 1)))
(log.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 3))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) -1)
(fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1 (log1p.f64 (exp.f64 a)))
(fma.f64 (log1p.f64 (exp.f64 a)) 1 (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (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 (exp.f64 a) 1)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.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)))
(fma.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) -1)
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(*.f64 1/2 b)
(/.f64 b 2)
(/.f64 1 (/.f64 2 b))
(/.f64 1 (/.f64 (/.f64 2 b) 1))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 2 (cbrt.f64 b)))
(/.f64 (sqrt.f64 b) (/.f64 2 (sqrt.f64 b)))
(/.f64 (neg.f64 b) -2)
(/.f64 -1 (neg.f64 (/.f64 2 b)))
(/.f64 (neg.f64 (neg.f64 b)) 2)
(/.f64 (-.f64 (pow.f64 (fma.f64 b 1/2 1) 3) 1) (fma.f64 (fma.f64 b 1/2 1) (fma.f64 b 1/2 1) (+.f64 1 (*.f64 (fma.f64 b 1/2 1) 1))))
(/.f64 (fma.f64 (fma.f64 b 1/2 1) (fma.f64 b 1/2 1) -1) (+.f64 (fma.f64 b 1/2 1) 1))
(pow.f64 (*.f64 b 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 b 1/2)) 3)
(pow.f64 (*.f64 (pow.f64 b 3) 1/8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 b 1/2)) 2)
(pow.f64 (/.f64 2 b) -1)
(neg.f64 (/.f64 b -2))
(sqrt.f64 (*.f64 (*.f64 b b) 1/4))
(log.f64 (sqrt.f64 (exp.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b 1/2))))
(cbrt.f64 (*.f64 (pow.f64 b 3) 1/8))
(exp.f64 (log.f64 (*.f64 b 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 b 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 b 1/2)))
(fma.f64 1 (fma.f64 b 1/2 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 b 1/2 1)) (cbrt.f64 (fma.f64 b 1/2 1))) (cbrt.f64 (fma.f64 b 1/2 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 b 1/2 1)) (sqrt.f64 (fma.f64 b 1/2 1)) -1)
(-.f64 (fma.f64 b 1/2 1) (-.f64 1 (log1p.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))) (/.f64 (*.f64 (*.f64 b b) 1/4) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 b 1/2 1)) 1)
(*.f64 1 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))
(*.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(*.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 (*.f64 b 1/2) (-.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (*.f64 b b) 1/4)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 b 1/2) (-.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (log1p.f64 (exp.f64 a)) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (*.f64 b b) 1/4))))
(/.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (*.f64 b 1/2) (-.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (*.f64 b b) 1/4 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (*.f64 b b) 1/4)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (neg.f64 (fma.f64 (*.f64 b 1/2) (-.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (*.f64 b b) 1/4))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a))))
(pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(log.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 1 (expm1.f64 (*.f64 b 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b 1/2))) (+.f64 (exp.f64 a) 1)))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))
(fma.f64 1 (*.f64 b 1/2) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (fma.f64 b 1/2 1) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (log1p.f64 (exp.f64 a)) 1 (*.f64 b 1/2))
(fma.f64 (*.f64 b 1/2) 1 (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (*.f64 b 1/2)) (pow.f64 (cbrt.f64 (*.f64 b 1/2)) 2) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b 1/2)) 2) (cbrt.f64 (*.f64 b 1/2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (*.f64 b 1/2))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 b 1/2))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) 1/2) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (*.f64 b 1/2)) (sqrt.f64 (*.f64 b 1/2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 b 1/2))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) 1/2) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) -1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 b 1/2 1)) (cbrt.f64 (fma.f64 b 1/2 1))) (cbrt.f64 (fma.f64 b 1/2 1)) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (sqrt.f64 (fma.f64 b 1/2 1)) (sqrt.f64 (fma.f64 b 1/2 1)) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))

simplify197.0ms (1.4%)

Algorithm
egg-herbie
Rules
836×fma-def
562×log-prod
446×cancel-sign-sub-inv
440×fma-neg
392×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057814326
1145313848
2523713716
Stop Event
node limit
Counts
376 → 332
Calls
Call 1
Inputs
(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 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))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b)))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)) (pow.f64 b 2))) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 3)) (pow.f64 b 3))) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)) (pow.f64 b 2))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 2)) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1) 3)) (pow.f64 b 3))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))))
(log.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
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(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(*.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 (*.f64 b 1/2) (-.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (*.f64 b b) 1/4)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 b 1/2) (-.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (log1p.f64 (exp.f64 a)) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (*.f64 b b) 1/4))))
(/.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (*.f64 b 1/2) (-.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (*.f64 b b) 1/4 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (*.f64 b b) 1/4)) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (neg.f64 (fma.f64 (*.f64 b 1/2) (-.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (*.f64 b b) 1/4))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a))))
(pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(log.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 1 (expm1.f64 (*.f64 b 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b 1/2))) (+.f64 (exp.f64 a) 1)))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))
(fma.f64 1 (*.f64 b 1/2) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (fma.f64 b 1/2 1) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (log1p.f64 (exp.f64 a)) 1 (*.f64 b 1/2))
(fma.f64 (*.f64 b 1/2) 1 (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (*.f64 b 1/2)) (pow.f64 (cbrt.f64 (*.f64 b 1/2)) 2) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b 1/2)) 2) (cbrt.f64 (*.f64 b 1/2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (*.f64 b 1/2))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 b 1/2))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) 1/2) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (*.f64 b 1/2)) (sqrt.f64 (*.f64 b 1/2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 b 1/2))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) 1/2) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) -1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 b 1/2 1)) (cbrt.f64 (fma.f64 b 1/2 1))) (cbrt.f64 (fma.f64 b 1/2 1)) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (sqrt.f64 (fma.f64 b 1/2 1)) (sqrt.f64 (fma.f64 b 1/2 1)) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
Outputs
(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)))
(+.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)))
(+.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 (*.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 (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 (pow.f64 a 3) (*.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)))
(+.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)))
(+.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 (*.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 (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 (pow.f64 a 3) (*.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 (log.f64 (+.f64 1 (exp.f64 a))) 1))
(log.f64 (+.f64 1 (log1p.f64 (exp.f64 a))))
(log1p.f64 (log1p.f64 (exp.f64 a)))
(+.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 1 (log1p.f64 (exp.f64 a)))) (/.f64 b (*.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (log1p.f64 (exp.f64 a))) (/.f64 (/.f64 b (+.f64 1 (log1p.f64 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(+.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 (+.f64 (log.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) (/.f64 b (*.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (+.f64 1 (exp.f64 a))))) (*.f64 -1/2 (/.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))))
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(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 b (*.f64 b -1/4))) (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b -1/2)))
(/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (*.f64 b 1/2) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 b (*.f64 b 1/4))) (-.f64 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 b (*.f64 b -1/4))) (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b -1/2)))
(pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 1)
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 3)
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3) 1/3)
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 2)
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 2))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(log.f64 (exp.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))))))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(log.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 1 (expm1.f64 (*.f64 b 1/2)))))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b 1/2))) (+.f64 (exp.f64 a) 1)))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a))) 3))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))) 1))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (*.f64 b 1/2))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 1 (*.f64 b 1/2) (log1p.f64 (exp.f64 a)))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 1 (fma.f64 b 1/2 1) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 (log1p.f64 (exp.f64 a)) 1 (*.f64 b 1/2))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 b 1/2) 1 (log1p.f64 (exp.f64 a)))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (*.f64 b 1/2)) (pow.f64 (cbrt.f64 (*.f64 b 1/2)) 2) (log1p.f64 (exp.f64 a)))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b 1/2)) 2) (cbrt.f64 (*.f64 b 1/2)) (log1p.f64 (exp.f64 a)))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (*.f64 b 1/2))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 b 1/2))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (*.f64 b 1/2))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) 1/2) (log1p.f64 (exp.f64 a)))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (*.f64 b 1/2)) (sqrt.f64 (*.f64 b 1/2)) (log1p.f64 (exp.f64 a)))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 b 1/2))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) 1/2) (log1p.f64 (exp.f64 a)))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) -1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 1/2 b (log1p.f64 (exp.f64 a)))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 b 1/2 1)) (cbrt.f64 (fma.f64 b 1/2 1))) (cbrt.f64 (fma.f64 b 1/2 1)) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (fma.f64 b 1/2 1)) (sqrt.f64 (fma.f64 b 1/2 1)) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))

eval164.0ms (1.2%)

Compiler

Compiled 9058 to 5567 computations (38.5% saved)

prune92.0ms (0.7%)

Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New4456451
Fresh178
Picked235
Done066
Total44822470
Accurracy
98.7%
Counts
470 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.1%
(pow.f64 (sqrt.f64 (log.f64 (+.f64 b 2))) 2)
5.1%
(/.f64 b (+.f64 2 a))
54.6%
(/.f64 b (+.f64 1 (exp.f64 a)))
12.4%
(/.f64 b 2)
48.0%
(+.f64 (*.f64 1/2 b) (log.f64 2))
46.2%
(+.f64 (*.f64 1/2 a) (log.f64 2))
61.1%
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
48.0%
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (/.f64 b 2))))
5.3%
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
95.0%
(log1p.f64 (+.f64 (exp.f64 a) b))
48.7%
(log1p.f64 (exp.f64 b))
48.2%
(log1p.f64 (exp.f64 a))
47.8%
(log.f64 (+.f64 b 2))
45.0%
(log.f64 (+.f64 2 a))
47.9%
(log.f64 (+.f64 1 (exp.f64 a)))
47.1%
(log.f64 2)
3.1%
(expm1.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (+.f64 1 (log1p.f64 (exp.f64 a))))))
48.0%
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2))))
98.2%
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
73.9%
(expm1.f64 (exp.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
51.9%
(exp.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
62.9%
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))
Compiler

Compiled 505 to 323 computations (36% saved)

regimes60.0ms (0.4%)

Counts
38 → 1
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(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 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) 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)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 b 2))) 2)
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (/.f64 b 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1))))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log1p.f64 (exp.f64 a)))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
(expm1.f64 (exp.f64 (log.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(expm1.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) (+.f64 1 (log1p.f64 (exp.f64 a))))))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Calls

6 calls:

18.0ms
a
17.0ms
b
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms
(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 334 to 188 computations (43.7% saved)

regimes41.0ms (0.3%)

Counts
21 → 1
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(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 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) 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)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 b 2))) 2)
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (/.f64 b 2))))
Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Calls

6 calls:

12.0ms
b
10.0ms
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
97.7%1a
97.7%1b
97.7%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.7%1(+.f64 (exp.f64 a) (exp.f64 b))
97.7%1(exp.f64 a)
97.7%1(exp.f64 b)
Compiler

Compiled 144 to 97 computations (32.6% saved)

regimes60.0ms (0.4%)

Counts
18 → 2
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(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 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) 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)))
(log1p.f64 (+.f64 (exp.f64 a) b))
Calls

6 calls:

20.0ms
b
19.0ms
a
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.1%2a
96.8%2b
97.3%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.3%2(+.f64 (exp.f64 a) (exp.f64 b))
96.8%2(exp.f64 b)
98.1%2(exp.f64 a)
Compiler

Compiled 123 to 81 computations (34.1% saved)

regimes23.0ms (0.2%)

Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(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 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 b)))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 b))
Calls

2 calls:

16.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.6%2a
97.6%2(exp.f64 a)
Compiler

Compiled 70 to 49 computations (30% saved)

regimes20.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(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))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
Calls

2 calls:

14.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.5%2a
97.5%2(exp.f64 a)
Compiler

Compiled 57 to 41 computations (28.1% saved)

regimes20.0ms (0.1%)

Counts
10 → 2
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(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 b) (log.f64 2))
Calls

2 calls:

14.0ms
a
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.4%2(exp.f64 a)
97.4%2a
Compiler

Compiled 54 to 40 computations (25.9% saved)

regimes20.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(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 b) (log.f64 2))
Calls

2 calls:

13.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
48.0%1b
55.2%2a
Compiler

Compiled 47 to 35 computations (25.5% saved)

regimes13.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 b 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
Outputs
(/.f64 b 2)
(log.f64 (+.f64 b 2))
Calls

1 calls:

11.0ms
a
Results
AccuracySegmentsBranch
55.1%2a
Compiler

Compiled 38 to 28 computations (26.3% saved)

regimes10.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 a))
Outputs
(/.f64 b 2)
(log.f64 (+.f64 2 a))
Calls

1 calls:

9.0ms
a
Results
AccuracySegmentsBranch
54.8%2a
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes10.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 b)
Outputs
(/.f64 b 2)
(log.f64 2)
Calls

1 calls:

9.0ms
a
Results
AccuracySegmentsBranch
54.5%2a
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes27.0ms (0.2%)

Accuracy

Total -5.1b remaining (-9%)

Threshold costs -5.1b (-9%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
Outputs
(/.f64 b 2)
Calls

2 calls:

22.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
12.4%1b
12.4%1a
Compiler

Compiled 23 to 16 computations (30.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
4.897561751496966e-66
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.897561751496966e-66
0.999877091809039
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch28.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
-2147.990926061836
-150.38187865807058
Results
14.0ms31×body1024valid
10.0ms39×body512valid
3.0ms26×body256valid
Compiler

Compiled 103 to 82 computations (20.4% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-150.38187865807058
-0.00012291574479164855
Results
18.0ms144×body256valid
Compiler

Compiled 175 to 145 computations (17.1% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
-150.38187865807058
-0.00012291574479164855
Results
17.0ms144×body256valid
Compiler

Compiled 148 to 127 computations (14.2% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-150.38187865807058
-0.00012291574479164855
Results
18.0ms144×body256valid
Compiler

Compiled 130 to 109 computations (16.2% saved)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-150.38187865807058
-0.00012291574479164855
Results
15.0ms144×body256valid
Compiler

Compiled 130 to 109 computations (16.2% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-150.38187865807058
-0.00012291574479164855
Results
17.0ms144×body256valid
Compiler

Compiled 112 to 100 computations (10.7% saved)

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
055327
164327
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))) (log1p.f64 (+.f64 (exp.f64 a) b)))
(if (<=.f64 (exp.f64 a) 4742843975160471/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 a -320) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -28) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -130) (/.f64 b 2) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -60) (/.f64 b 2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -1) (/.f64 b 2) (log.f64 (+.f64 2 a)))
(if (<=.f64 a -115) (/.f64 b 2) (log.f64 2))
(/.f64 b 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))) (log1p.f64 (+.f64 (exp.f64 a) b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (+.f64 (exp.f64 a) b)))
(if (<=.f64 (exp.f64 a) 4742843975160471/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 4742843975160471/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 b)))
(if (<=.f64 a -320) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -320) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -28) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -28) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -130) (/.f64 b 2) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -130) (/.f64 b 2) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -60) (/.f64 b 2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -1) (/.f64 b 2) (log.f64 (+.f64 2 a)))
(if (<=.f64 a -1) (/.f64 b 2) (log.f64 (+.f64 a 2)))
(if (<=.f64 a -115) (/.f64 b 2) (log.f64 2))
(/.f64 b 2)
Compiler

Compiled 144 to 105 computations (27.1% saved)

soundness714.0ms (5.1%)

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
081014295
1199913493
2740213493
01972874
14872502
216162316
371442316
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
Compiler

Compiled 198 to 94 computations (52.5% saved)

end0.0ms (0%)

preprocess103.0ms (0.7%)

Compiler

Compiled 288 to 186 computations (35.4% saved)

Profiling

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