Quotient of sum of exps

Time bar (total: 5.2s)

analyze10.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%0%1.6%7
96%93.7%3.9%0.1%0%0%2.3%8
97.2%93.7%2.7%0.1%0%0%3.5%9
97.8%93.7%2.1%0.1%0%0%4.1%10
98.5%93.7%1.5%0.1%0%0%4.8%11
98.8%93.7%1.1%0.1%0%0%5.1%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.7s (32.1%)

Results
1.4s8256×body256valid
267.0ms2980×body256unsamplable
Bogosity

preprocess85.0ms (1.6%)

Algorithm
egg-herbie
Rules
1088×unswap-sqr
792×fma-def
674×*-commutative
522×associate-/l*
518×associate-/r*
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
019112
131112
243112
360112
4108102
5233102
6511102
71375102
83144100
94780100
10669698
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (neg.f64 b))))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)))
(/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 a b))))
(/.f64 1 (fma.f64 (exp.f64 a) (exp.f64 b) 1))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (neg.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a b)))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 (neg.f64 b) a))))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
11025
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
98.8%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 20 to 12 computations (40% saved)

localize37.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 22 to 7 computations (68.2% saved)

series5.0ms (0.1%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
1.0ms
b
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
b
@inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@-inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite80.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
970×prod-diff
948×log-prod
600×pow-prod-down
542×prod-exp
474×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0940
118740
2256140
Stop Event
node limit
Counts
2 → 98
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
Outputs
(+.f64 0 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -2) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (exp.f64 a) (+.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)) (exp.f64 (+.f64 a a))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
(pow.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 1) -1)
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) -1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.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 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a 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 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))))
(/.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)) (exp.f64 (+.f64 a a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (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 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.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)) 2) 1/2)
(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 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) -1)
(pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 b)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (exp.f64 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(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))))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 (exp.f64 a) 1 (exp.f64 b))
(fma.f64 (exp.f64 b) 1 (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 (+.f64 a a))) (exp.f64 b))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (cbrt.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 a))
(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))

simplify76.0ms (1.5%)

Algorithm
egg-herbie
Rules
1622×fma-def
838×distribute-lft-in
832×distribute-rgt-in
672×unswap-sqr
516×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03114302
17834158
224624110
Stop Event
node limit
Counts
114 → 160
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(+.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 0 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -2) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (exp.f64 a) (+.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)) (exp.f64 (+.f64 a a))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
(pow.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 1) -1)
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) -1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.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 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a 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 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))))
(/.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)) (exp.f64 (+.f64 a a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (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 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.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)) 2) 1/2)
(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 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) -1)
(pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 b)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (exp.f64 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(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))))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 (exp.f64 a) 1 (exp.f64 b))
(fma.f64 (exp.f64 b) 1 (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 (+.f64 a a))) (exp.f64 b))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (cbrt.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 a))
(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
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
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(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -3))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) -3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (*.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) 1))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (*.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) -1))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.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 (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 (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 (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 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a 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)) (exp.f64 (+.f64 a a))))
(*.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a 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 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a 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)) (exp.f64 (+.f64 a a))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (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 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a 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)) (exp.f64 (+.f64 a a))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (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 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a 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)) (exp.f64 (+.f64 a a))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) 1/2)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) -1)
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a 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)) (exp.f64 (+.f64 a a))))
(pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) -1)
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (*.f64 (exp.f64 (exp.f64 b)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (exp.f64 (exp.f64 a))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(+.f64 (exp.f64 b) (exp.f64 a))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(+.f64 (exp.f64 b) (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (exp.f64 a) 1 (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (exp.f64 b) 1 (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 (+.f64 a a))) (exp.f64 b))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 (+.f64 a a))) (exp.f64 b))
(fma.f64 (cbrt.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 a))
(+.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 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))

eval62.0ms (1.2%)

Compiler

Compiled 3409 to 1604 computations (52.9% saved)

prune36.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1546160
Fresh000
Picked101
Done000
Total1556161
Accurracy
99.7%
Counts
161 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))
68.6%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
98.3%
(/.f64 (exp.f64 a) (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
80.4%
(/.f64 1 (+.f64 1 (exp.f64 b)))
98.8%
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
98.3%
(exp.f64 (*.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3))
98.4%
(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))
68.6%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
98.3%
(/.f64 (exp.f64 a) (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
80.4%
(/.f64 1 (+.f64 1 (exp.f64 b)))
98.8%
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
98.3%
(exp.f64 (*.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3))
Compiler

Compiled 284 to 208 computations (26.8% saved)

localize492.0ms (9.5%)

Local Accuracy

Found 14 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
99.9%
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
99.4%
(*.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3)
69.0%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
100.0%
(+.f64 (exp.f64 b) a)
100.0%
(+.f64 1 (+.f64 (exp.f64 b) a))
100.0%
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))
100.0%
(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))
100.0%
(+.f64 1 (exp.f64 a))
99.2%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
100.0%
(/.f64 1 (+.f64 1 (exp.f64 b)))
100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
100.0%
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
69.0%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 174 to 50 computations (71.3% saved)

series117.0ms (2.3%)

Counts
12 → 176
Calls

63 calls:

TimeVariablePointExpression
31.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
31.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
12.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
b
@inf
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite111.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
608×add-sqr-sqrt
590×pow1
590×*-un-lft-identity
570×add-exp-log
568×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027280
1592266
Stop Event
node limit
Counts
12 → 338
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (exp.f64 b) a)
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3)
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Outputs
(+.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 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.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 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(-.f64 (exp.f64 (log1p.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)
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(log.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(cbrt.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(expm1.f64 (log1p.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (log.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (*.f64 (log.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1))
(log1p.f64 (expm1.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(fma.f64 1 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (*.f64 a 3) (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(+.f64 (*.f64 3 a) (*.f64 3 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))) 1)
(/.f64 (*.f64 3 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))) (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a))))
(/.f64 (*.f64 3 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) 3) (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a))))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 3) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)) 2)
(sqrt.f64 (*.f64 9 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))
(log.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))
(exp.f64 (log.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))

simplify184.0ms (3.6%)

Algorithm
egg-herbie
Rules
1566×fma-def
612×distribute-rgt-in
600×distribute-lft-in
472×associate-+r+
446×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098720368
1266819104
Stop Event
node limit
Counts
514 → 621
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))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 (pow.f64 a 3) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 -1/6 (-.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))))) (*.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a)))))
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a))))))
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 1 (exp.f64 a)))) (*.f64 -1/6 (-.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 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a)))))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 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 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2)))
(+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))))) (*.f64 -8 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))))
(*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2)))
(+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3)))))
(+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (exp.f64 a)) (*.f64 4 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))))) (pow.f64 a 4))) (+.f64 (*.f64 2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 -4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (*.f64 8 (/.f64 (*.f64 (exp.f64 a) (+.f64 1 (exp.f64 b))) (pow.f64 a 5)))))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2)))) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2))))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a)) 2))))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b)))))
(+.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 (exp.f64 b))))
(*.f64 1/2 (pow.f64 a 2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) a)
(+.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 (exp.f64 b))))
(*.f64 1/2 (pow.f64 a 2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) a)
(+.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 (exp.f64 b))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.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 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(+.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 (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 (exp.f64 b))))
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(+.f64 1 (+.f64 a (exp.f64 b)))
a
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(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (exp.f64 b)))
a
(+.f64 1 (+.f64 a (exp.f64 b)))
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(+.f64 1 (+.f64 a (exp.f64 b)))
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(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 a (exp.f64 b))
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(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(exp.f64 b)
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
a
(+.f64 a (exp.f64 b))
(+.f64 a (exp.f64 b))
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a
(+.f64 a (exp.f64 b))
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(log.f64 (+.f64 1 (exp.f64 b)))
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(log.f64 (+.f64 1 (exp.f64 a)))
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a
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a
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(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
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(*.f64 3 a)
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(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)
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(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)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
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(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
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(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
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(pow.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)) 3) 1/3)
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(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a (exp.f64 b))) 2) (cbrt.f64 (+.f64 a (exp.f64 b))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 b) 1)) a)
(fma.f64 (sqrt.f64 (+.f64 a (exp.f64 b))) (sqrt.f64 (+.f64 a (exp.f64 b))) 1)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) (sqrt.f64 (+.f64 (exp.f64 b) 1)) a)
(-.f64 (+.f64 (exp.f64 b) (+.f64 1 a)) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 b) a)) (/.f64 (*.f64 a a) (-.f64 (exp.f64 b) a)))
(*.f64 1 (+.f64 a (exp.f64 b)))
(*.f64 (cbrt.f64 (+.f64 a (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 a (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a (exp.f64 b))) 2) (cbrt.f64 (+.f64 a (exp.f64 b))))
(*.f64 (sqrt.f64 (+.f64 a (exp.f64 b))) (sqrt.f64 (+.f64 a (exp.f64 b))))
(*.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 a 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a (-.f64 a (exp.f64 b))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a a)) (/.f64 1 (-.f64 (exp.f64 b) a)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a (-.f64 a (exp.f64 b)))) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 b) a) (-.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a (-.f64 a (exp.f64 b)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a a)) (-.f64 (exp.f64 b) a))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 a 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a (-.f64 a (exp.f64 b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a a))) (neg.f64 (-.f64 (exp.f64 b) a)))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (*.f64 a a) (-.f64 (pow.f64 (exp.f64 b) 2) (*.f64 a (exp.f64 b)))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (exp.f64 b) 2)) (-.f64 a (exp.f64 b)))
(pow.f64 (+.f64 a (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (+.f64 a (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 a (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 a (exp.f64 b))) 2)
(sqrt.f64 (pow.f64 (+.f64 a (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 a (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a (exp.f64 b)))))
(cbrt.f64 (pow.f64 (+.f64 a (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 a (exp.f64 b))))
(exp.f64 (log.f64 (+.f64 a (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (+.f64 a (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (+.f64 a (exp.f64 b))))
(fma.f64 1 a (exp.f64 b))
(fma.f64 1 (exp.f64 b) a)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (exp.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) a)
(fma.f64 (sqrt.f64 a) (sqrt.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 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.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 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(-.f64 (exp.f64 (log1p.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)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(+.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 (neg.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) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 0 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (log.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 (*.f64 a 1) (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(+.f64 (fma.f64 1 a (neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))
(+.f64 (fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 1)
(-.f64 (/.f64 (pow.f64 a 3) (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a)))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a)))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a))) (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))
(/.f64 1 (/.f64 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))
(/.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))) (neg.f64 (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (neg.f64 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)) (+.f64 (*.f64 a a) (-.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (*.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (-.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3)
(pow.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)
(sqrt.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(log.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(cbrt.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(expm1.f64 (log1p.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (log.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (*.f64 (log.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1))
(log1p.f64 (expm1.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(fma.f64 1 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (*.f64 a 3) (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(+.f64 (*.f64 3 a) (*.f64 3 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))) 1)
(/.f64 (*.f64 3 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))) (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a))))
(/.f64 (*.f64 3 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) 3) (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a))))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 3) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)) 2)
(sqrt.f64 (*.f64 9 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))
(log.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))
(exp.f64 (log.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))
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)))))
(+.f64 (fma.f64 (*.f64 1/2 (*.f64 a 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)))) (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 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(+.f64 (fma.f64 (*.f64 1/2 (*.f64 a 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)))) (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))))
(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)))))
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(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
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(fma.f64 (*.f64 (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2)) (fma.f64 a (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b))))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
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(fma.f64 (*.f64 a a) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2))) (fma.f64 a (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (fma.f64 (pow.f64 a 3) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (fma.f64 -1/6 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))))
(fma.f64 (*.f64 a a) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2))) (fma.f64 a (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b))))) (*.f64 (+.f64 (*.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b))))) (fma.f64 1/6 (pow.f64 (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) 3) (*.f64 (+.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))) -1/6)))) 1) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
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(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a)))))
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(-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
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(-.f64 (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 1 (*.f64 (*.f64 b b) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/2 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
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(+.f64 (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 (*.f64 (pow.f64 b 3) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 1 (exp.f64 a))) (fma.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) -1/6 (/.f64 -1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 (*.f64 b b) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/2 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 b -1/4))
(fma.f64 b -1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 b -1/4)))
(+.f64 1/2 (fma.f64 (pow.f64 b 3) 1/48 (*.f64 b -1/4)))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 b -1/4))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 (pow.f64 b 3) 1/48 (*.f64 b -1/4))))
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
(fma.f64 a 1/4 1/2)
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 a 1/4)))
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 1/2))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4))))
(+.f64 (fma.f64 (pow.f64 a 3) -1/48 1/2) (fma.f64 1/480 (pow.f64 a 5) (*.f64 a 1/4)))
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 2 (fma.f64 a (*.f64 a 1/2) 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 1/6 (pow.f64 a 3)))))
(+.f64 (fma.f64 a (*.f64 a 1/2) 2) (fma.f64 1/6 (pow.f64 a 3) a))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
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a
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a
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(exp.f64 b)
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a
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a
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a
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(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
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(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
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(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
a
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(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
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(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
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(-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
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(/.f64 (*.f64 3 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))) (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))
(/.f64 (*.f64 3 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 3 (/.f64 (+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) 3) (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a))))
(/.f64 (*.f64 3 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))) (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 3) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 3 (/.f64 (+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))))
(pow.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 1)
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)) 3)
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(pow.f64 (pow.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 3) 1/3)
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)) 2)
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(sqrt.f64 (*.f64 9 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2) 9))
(log.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 3))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(exp.f64 (log.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)) 1))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))
(fma.f64 -3 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (*.f64 a 3))
(*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))

eval343.0ms (6.6%)

Compiler

Compiled 20948 to 11143 computations (46.8% saved)

prune154.0ms (3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New9677974
Fresh101
Picked325
Done000
Total9719980
Accurracy
99.7%
Counts
980 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.9%
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2) 2)
68.6%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
67.3%
(/.f64 (exp.f64 a) 2)
80.4%
(/.f64 1 (+.f64 1 (exp.f64 b)))
39.5%
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
37.4%
(+.f64 1/2 (*.f64 b -1/4))
39.5%
(+.f64 1/2 (*.f64 a 1/4))
80.5%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
39.1%
1/2
79.9%
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2) 2)
68.6%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
67.3%
(/.f64 (exp.f64 a) 2)
80.4%
(/.f64 1 (+.f64 1 (exp.f64 b)))
39.5%
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
37.4%
(+.f64 1/2 (*.f64 b -1/4))
39.5%
(+.f64 1/2 (*.f64 a 1/4))
80.5%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
39.1%
1/2
Compiler

Compiled 240 to 204 computations (15% saved)

localize357.0ms (6.9%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 -1/48 (pow.f64 a 3))
100.0%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
Compiler

Compiled 80 to 52 computations (35% saved)

series34.0ms (0.7%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
17.0ms
b
@inf
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
16.0ms
b
@-inf
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
1.0ms
b
@0
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
0.0ms
a
@0
(*.f64 -1/48 (pow.f64 a 3))
0.0ms
a
@-inf
(*.f64 -1/48 (pow.f64 a 3))

rewrite69.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
992×log-prod
780×exp-prod
550×pow-prod-up
504×pow-prod-down
498×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01330
126324
2288114
Stop Event
node limit
Counts
2 → 25
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(*.f64 -1/48 (pow.f64 a 3))
Outputs
1
(+.f64 0 (*.f64 -1/48 (pow.f64 a 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3)))) 1)
(pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)
(pow.f64 (*.f64 (pow.f64 a 6) 1/2304) 1/2)
(pow.f64 (pow.f64 (*.f64 a (cbrt.f64 -1/48)) 9) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2)) 2)
(pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 a) (log.f64 -1/48)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)))) (sqrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48))))
(sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))
(log.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3)))))
(cbrt.f64 (pow.f64 (*.f64 a (cbrt.f64 -1/48)) 9))
(expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))
(exp.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 a (cbrt.f64 -1/48))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a (cbrt.f64 -1/48)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))

simplify79.0ms (1.5%)

Algorithm
egg-herbie
Rules
1212×fma-def
766×*-commutative
660×unswap-sqr
622×associate-/l*
578×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0106813
1248651
2619627
31597627
43423627
57469627
Stop Event
node limit
Counts
37 → 46
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (log.f64 2)))
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2)))))
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 b 5) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
1
(+.f64 0 (*.f64 -1/48 (pow.f64 a 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3)))) 1)
(pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)
(pow.f64 (*.f64 (pow.f64 a 6) 1/2304) 1/2)
(pow.f64 (pow.f64 (*.f64 a (cbrt.f64 -1/48)) 9) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2)) 2)
(pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 a) (log.f64 -1/48)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)))) (sqrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48))))
(sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))
(log.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3)))))
(cbrt.f64 (pow.f64 (*.f64 a (cbrt.f64 -1/48)) 9))
(expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))
(exp.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 a (cbrt.f64 -1/48))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a (cbrt.f64 -1/48)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))
Outputs
(exp.f64 (neg.f64 (log.f64 2)))
1/2
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))
(fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) b) (exp.f64 (neg.f64 (log.f64 2))))
(+.f64 1/2 (*.f64 b -1/4))
(fma.f64 b -1/4 1/2)
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2)))))
(fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) b) (fma.f64 1/24 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 3)) (exp.f64 (neg.f64 (log.f64 2)))))
(+.f64 (*.f64 b -1/4) (+.f64 1/2 (*.f64 (pow.f64 b 3) 1/48)))
(fma.f64 (pow.f64 b 3) 1/48 (fma.f64 b -1/4 1/2))
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 b 5) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))))
(fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) b) (fma.f64 1/24 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 3)) (fma.f64 -1/240 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 5)) (exp.f64 (neg.f64 (log.f64 2))))))
(+.f64 (*.f64 b -1/4) (+.f64 1/2 (+.f64 (*.f64 (pow.f64 b 3) 1/48) (*.f64 (pow.f64 b 5) -1/480))))
(fma.f64 b -1/4 (fma.f64 (pow.f64 b 5) -1/480 (fma.f64 (pow.f64 b 3) 1/48 1/2)))
(fma.f64 (pow.f64 b 5) -1/480 (fma.f64 (pow.f64 b 3) 1/48 (fma.f64 b -1/4 1/2)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
1
(+.f64 0 (*.f64 -1/48 (pow.f64 a 3)))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))
(*.f64 -1/48 (pow.f64 a 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3)))) 1)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 (pow.f64 a 6) 1/2304) 1/2)
(sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))
(pow.f64 (pow.f64 (*.f64 a (cbrt.f64 -1/48)) 9) 1/3)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2)) 2)
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 a) (log.f64 -1/48)))
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)))) (sqrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48))))
(sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))
(log.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))
(*.f64 -1/48 (pow.f64 a 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3)))))
(*.f64 -1/48 (pow.f64 a 3))
(cbrt.f64 (pow.f64 (*.f64 a (cbrt.f64 -1/48)) 9))
(*.f64 -1/48 (pow.f64 a 3))
(expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))
(*.f64 -1/48 (pow.f64 a 3))
(exp.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)))
(*.f64 -1/48 (pow.f64 a 3))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 1) 1))
(*.f64 -1/48 (pow.f64 a 3))
(exp.f64 (*.f64 (log.f64 (*.f64 a (cbrt.f64 -1/48))) 3))
(*.f64 -1/48 (pow.f64 a 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a (cbrt.f64 -1/48)) 9)) 1/3))
(*.f64 -1/48 (pow.f64 a 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2))) 2))
(*.f64 -1/48 (pow.f64 a 3))
(log1p.f64 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))
(*.f64 -1/48 (pow.f64 a 3))

eval18.0ms (0.4%)

Compiler

Compiled 663 to 565 computations (14.8% saved)

prune28.0ms (0.5%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New45146
Fresh112
Picked055
Done022
Total46955
Accurracy
100.0%
Counts
55 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.6%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
67.3%
(/.f64 (exp.f64 a) 2)
80.4%
(/.f64 1 (+.f64 1 (exp.f64 b)))
39.5%
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
37.4%
(+.f64 1/2 (*.f64 b -1/4))
39.5%
(+.f64 1/2 (*.f64 a 1/4))
80.5%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
23.2%
1
39.1%
1/2
68.6%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
67.3%
(/.f64 (exp.f64 a) 2)
80.4%
(/.f64 1 (+.f64 1 (exp.f64 b)))
39.5%
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
37.4%
(+.f64 1/2 (*.f64 b -1/4))
39.5%
(+.f64 1/2 (*.f64 a 1/4))
80.5%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
23.2%
1
39.1%
1/2
Compiler

Compiled 126 to 106 computations (15.9% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune10.0ms (0.2%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done077
Total099
Accurracy
100.0%
Counts
9 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.6%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
67.3%
(/.f64 (exp.f64 a) 2)
80.4%
(/.f64 1 (+.f64 1 (exp.f64 b)))
39.5%
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
37.4%
(+.f64 1/2 (*.f64 b -1/4))
39.5%
(+.f64 1/2 (*.f64 a 1/4))
80.5%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
23.2%
1
39.1%
1/2
Compiler

Compiled 172 to 114 computations (33.7% saved)

regimes32.0ms (0.6%)

Counts
15 → 1
Calls
Call 1
Inputs
1/2
1
(+.f64 1/2 (*.f64 a 1/4))
(+.f64 1/2 (*.f64 b -1/4))
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2) 2)
(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3))
(/.f64 (exp.f64 a) (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Outputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Calls

5 calls:

11.0ms
b
10.0ms
a
3.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.8%1a
98.8%1b
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1(exp.f64 a)
98.8%1(exp.f64 b)
Compiler

Compiled 133 to 77 computations (42.1% saved)

regimes28.0ms (0.5%)

Counts
12 → 1
Calls
Call 1
Inputs
1/2
1
(+.f64 1/2 (*.f64 a 1/4))
(+.f64 1/2 (*.f64 b -1/4))
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) -1/2) 2)
(/.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

9.0ms
b
7.0ms
a
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.8%1a
98.8%1b
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1(exp.f64 a)
98.8%1(exp.f64 b)
Compiler

Compiled 101 to 66 computations (34.7% saved)

regimes44.0ms (0.9%)

Counts
9 → 2
Calls
Call 1
Inputs
1/2
1
(+.f64 1/2 (*.f64 a 1/4))
(+.f64 1/2 (*.f64 b -1/4))
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
Outputs
(/.f64 (exp.f64 a) 2)
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
Calls

4 calls:

21.0ms
b
12.0ms
a
5.0ms
(exp.f64 b)
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.6%2a
99.2%3b
98.6%2(exp.f64 a)
99.2%3(exp.f64 b)
Compiler

Compiled 61 to 45 computations (26.2% saved)

regimes18.0ms (0.3%)

Counts
8 → 2
Calls
Call 1
Inputs
1/2
1
(+.f64 1/2 (*.f64 a 1/4))
(+.f64 1/2 (*.f64 b -1/4))
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Outputs
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

2 calls:

13.0ms
a
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.6%2a
98.6%2(exp.f64 a)
Compiler

Compiled 49 to 37 computations (24.5% saved)

regimes18.0ms (0.3%)

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

3 calls:

11.0ms
b
4.0ms
a
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
79.2%2b
67.3%1a
67.3%1(exp.f64 a)
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes15.0ms (0.3%)

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

2 calls:

10.0ms
b
4.0ms
a
Results
AccuracySegmentsBranch
39.5%1a
51.3%2b
Compiler

Compiled 20 to 16 computations (20% saved)

regimes12.0ms (0.2%)

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

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
50.8%2b
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
a
2.0ms
b
Results
AccuracySegmentsBranch
39.1%1a
39.1%1b
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.6577252202543368
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.6577252202543368
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch18.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-11820507.179973356
-10173.366538766091
Results
16.0ms128×body256valid
Compiler

Compiled 103 to 90 computations (12.6% saved)

bsearch20.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
-10173.366538766091
-0.008090526205554224
Results
18.0ms144×body256valid
Compiler

Compiled 123 to 109 computations (11.4% saved)

bsearch18.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-11820507.179973356
-10173.366538766091
Results
16.0ms128×body256valid
Compiler

Compiled 79 to 74 computations (6.3% saved)

simplify9.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
038192
148192
253192
356192
457192
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 (exp.f64 a) 2) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b -10200) 1 (/.f64 (exp.f64 a) 2))
(if (<=.f64 b -3152519739159347/9007199254740992) 1 (+.f64 1/2 (*.f64 a 1/4)))
(if (<=.f64 b -10200) 1 1/2)
1/2
Outputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 (exp.f64 a) 2) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 (exp.f64 a) 2) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 b -10200) 1 (/.f64 (exp.f64 a) 2))
(if (<=.f64 b -3152519739159347/9007199254740992) 1 (+.f64 1/2 (*.f64 a 1/4)))
(if (<=.f64 b -10200) 1 1/2)
1/2
Compiler

Compiled 88 to 68 computations (22.7% saved)

soundness802.0ms (15.5%)

Rules
1566×fma-def
1566×fma-def
992×log-prod
970×prod-diff
948×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0940
118740
2256140
098720368
1266819104
01330
126324
2288114
098720368
1266819104
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 323 to 124 computations (61.6% saved)

end0.0ms (0%)

preprocess86.0ms (1.7%)

Compiler

Compiled 188 to 120 computations (36.2% saved)

Profiling

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