symmetry log of sum of exp

Details

Time bar (total: 14.5s)

analyze1.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample9.9s (68.5%)

Results
7.7s7812×body8192exit
1.0s1997×body1024valid
706.0ms5047×body256valid
350.0ms1019×body512valid
123.0ms193×body2048valid
Bogosity

preprocess16.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
54.1%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.1%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
54.1%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize69.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
54.1%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 20 to 7 computations (65% saved)

series70.0ms (0.5%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
23.0ms
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)))
12.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite72.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify90.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

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

eval31.0ms (0.2%)

Compiler

Compiled 2074 to 1062 computations (48.8% saved)

prune26.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1127119
Fresh000
Picked011
Done000
Total1128120
Accurracy
98.7%
Counts
120 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
97.0%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
50.8%
(log1p.f64 (exp.f64 b))
50.9%
(log1p.f64 (exp.f64 a))
52.2%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
54.1%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
52.7%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
50.8%
(log.f64 (+.f64 1 (exp.f64 b)))
98.0%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
97.0%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
50.8%
(log1p.f64 (exp.f64 b))
50.9%
(log1p.f64 (exp.f64 a))
52.2%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
54.1%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
52.7%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
50.8%
(log.f64 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 260 to 196 computations (24.6% saved)

localize161.0ms (1.1%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 a) (+.f64 1 b))
56.8%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
100.0%
(+.f64 1 (exp.f64 b))
97.7%
(log.f64 (+.f64 1 (exp.f64 b)))
97.7%
(log1p.f64 (exp.f64 b))
100.0%
(+.f64 1 (exp.f64 a))
100.0%
(/.f64 b (+.f64 1 (exp.f64 a)))
100.0%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Compiler

Compiled 77 to 33 computations (57.1% saved)

series153.0ms (1.1%)

Counts
8 → 100
Calls

36 calls:

TimeVariablePointExpression
43.0ms
b
@inf
(log.f64 (+.f64 1 (exp.f64 b)))
28.0ms
a
@inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
19.0ms
b
@-inf
(log1p.f64 (exp.f64 b))
17.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
13.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

rewrite140.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1712×log-prod
1590×fma-def
658×expm1-udef
658×log1p-udef
596×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018126
1384126
25235120
Stop Event
node limit
Counts
8 → 311
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (/.f64 1 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 (*.f64 (log1p.f64 (exp.f64 a)) b) (+.f64 (exp.f64 a) 1)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (neg.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) 1)))
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(+.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 0)
(+.f64 0 (log1p.f64 (+.f64 (exp.f64 a) b)))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3))) (log.f64 (/.f64 1 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 2)))
(+.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) (log.f64 (/.f64 1 (-.f64 (expm1.f64 a) b))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3))) (log.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 1)
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) b)))
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 1))
(log1p.f64 (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log1p.f64 (+.f64 b (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (expm1.f64 a) b)) (/.f64 (pow.f64 (+.f64 b 1) 2) (-.f64 (expm1.f64 a) b)))
(*.f64 1 (+.f64 (exp.f64 a) (+.f64 b 1)))
(*.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)) (/.f64 1 (-.f64 (expm1.f64 a) b)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3))))
(/.f64 1 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3)) (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (+.f64 b 1) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a (log1p.f64 b))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)) (-.f64 (expm1.f64 a) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3))) (neg.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) (neg.f64 (-.f64 (expm1.f64 a) b)))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (-.f64 (*.f64 b b) (*.f64 (+.f64 (exp.f64 a) 1) b))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (*.f64 b b)) (-.f64 (+.f64 (exp.f64 a) 1) b))
(/.f64 (-.f64 (pow.f64 (+.f64 b 1) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (+.f64 b 1) (exp.f64 a)))
(pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 1)
(pow.f64 (E.f64) (log1p.f64 (+.f64 (exp.f64 a) b)))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 b 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (+.f64 b 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (+.f64 b 1)))))
(log.f64 (*.f64 (exp.f64 b) (exp.f64 (+.f64 (exp.f64 a) 1))))
(log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 (exp.f64 a) 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 (exp.f64 a) 1)) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 b 1)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b 1))) (exp.f64 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b 1))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(fma.f64 (exp.f64 a) 1 (+.f64 b 1))
(fma.f64 b 1 (+.f64 (exp.f64 a) 1))
(fma.f64 1 (exp.f64 a) (+.f64 b 1))
(fma.f64 1 b (+.f64 (exp.f64 a) 1))
(fma.f64 1 (+.f64 (exp.f64 a) 1) b)
(fma.f64 1 (+.f64 b 1) (exp.f64 a))
(fma.f64 (+.f64 (exp.f64 a) 1) 1 b)
(fma.f64 (+.f64 b 1) 1 (exp.f64 a))
(fma.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) b)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)) b)
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (+.f64 b 1))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (+.f64 b 1))
(fma.f64 (cbrt.f64 (+.f64 b 1)) (pow.f64 (cbrt.f64 (+.f64 b 1)) 2) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b 1)) 2) (cbrt.f64 (+.f64 b 1)) (exp.f64 a))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) 1))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 (exp.f64 a) 1))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)) b)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (+.f64 b 1))
(fma.f64 (hypot.f64 1 (sqrt.f64 b)) (hypot.f64 1 (sqrt.f64 b)) (exp.f64 a))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 (exp.f64 a) 1))
(fma.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) b)
(fma.f64 (+.f64 1 (pow.f64 b 3)) (/.f64 1 (fma.f64 b (-.f64 b 1) 1)) (exp.f64 a))
(fma.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))) b)
(fma.f64 (-.f64 1 (*.f64 b b)) (/.f64 1 (-.f64 1 b)) (exp.f64 a))

simplify144.0ms (1%)

Algorithm
egg-herbie
Rules
782×log-prod
736×fma-def
556×fma-neg
506×exp-prod
482×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072811035
1176210595
2615010579
Stop Event
node limit
Counts
411 → 456
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(log.f64 (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (/.f64 1 (+.f64 2 b))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (/.f64 1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(+.f64 2 b)
(+.f64 2 (+.f64 a b))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) b))))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
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(+.f64 1 (+.f64 (exp.f64 a) b))
b
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(+.f64 1 (+.f64 (exp.f64 a) b))
b
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(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 1 (exp.f64 b)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(+.f64 (log1p.f64 (exp.f64 b)) 0)
(+.f64 0 (log1p.f64 (exp.f64 b)))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log.f64 (/.f64 1 (fma.f64 (exp.f64 b) (expm1.f64 b) 1))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 b) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 b)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 b) 2))) (log1p.f64 (neg.f64 (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 b)))) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (expm1.f64 b) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) 1) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 b)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(exp.f64 (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(fma.f64 1 (exp.f64 b) 1)
(fma.f64 (exp.f64 b) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(+.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 0)
(+.f64 0 (log1p.f64 (+.f64 (exp.f64 a) b)))
(+.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3))) (log.f64 (/.f64 1 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 2)))
(+.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) (log.f64 (/.f64 1 (-.f64 (expm1.f64 a) b))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3))) (log.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) 1)
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) b)))
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 1))
(log1p.f64 (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log1p.f64 (+.f64 b (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (expm1.f64 a) b)) (/.f64 (pow.f64 (+.f64 b 1) 2) (-.f64 (expm1.f64 a) b)))
(*.f64 1 (+.f64 (exp.f64 a) (+.f64 b 1)))
(*.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)) (/.f64 1 (-.f64 (expm1.f64 a) b)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3))))
(/.f64 1 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3)) (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (+.f64 b 1) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a (log1p.f64 b))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2)) (-.f64 (expm1.f64 a) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (exp.f64 a) 3))) (neg.f64 (fma.f64 (+.f64 b 1) (-.f64 (+.f64 b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 b 1) 2))) (neg.f64 (-.f64 (expm1.f64 a) b)))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (-.f64 (*.f64 b b) (*.f64 (+.f64 (exp.f64 a) 1) b))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (*.f64 b b)) (-.f64 (+.f64 (exp.f64 a) 1) b))
(/.f64 (-.f64 (pow.f64 (+.f64 b 1) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (+.f64 b 1) (exp.f64 a)))
(pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 1)
(pow.f64 (E.f64) (log1p.f64 (+.f64 (exp.f64 a) b)))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 b 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (+.f64 b 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (+.f64 b 1)))))
(log.f64 (*.f64 (exp.f64 b) (exp.f64 (+.f64 (exp.f64 a) 1))))
(log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 (exp.f64 a) 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 (exp.f64 a) 1)) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 b 1)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b 1))) (exp.f64 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b 1))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(fma.f64 (exp.f64 a) 1 (+.f64 b 1))
(fma.f64 b 1 (+.f64 (exp.f64 a) 1))
(fma.f64 1 (exp.f64 a) (+.f64 b 1))
(fma.f64 1 b (+.f64 (exp.f64 a) 1))
(fma.f64 1 (+.f64 (exp.f64 a) 1) b)
(fma.f64 1 (+.f64 b 1) (exp.f64 a))
(fma.f64 (+.f64 (exp.f64 a) 1) 1 b)
(fma.f64 (+.f64 b 1) 1 (exp.f64 a))
(fma.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) b)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)) b)
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (+.f64 b 1))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (+.f64 b 1))
(fma.f64 (cbrt.f64 (+.f64 b 1)) (pow.f64 (cbrt.f64 (+.f64 b 1)) 2) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b 1)) 2) (cbrt.f64 (+.f64 b 1)) (exp.f64 a))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) 1))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 (exp.f64 a) 1))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)) b)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (+.f64 b 1))
(fma.f64 (hypot.f64 1 (sqrt.f64 b)) (hypot.f64 1 (sqrt.f64 b)) (exp.f64 a))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 (exp.f64 a) 1))
(fma.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) b)
(fma.f64 (+.f64 1 (pow.f64 b 3)) (/.f64 1 (fma.f64 b (-.f64 b 1) 1)) (exp.f64 a))
(fma.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))) b)
(fma.f64 (-.f64 1 (*.f64 b b)) (/.f64 1 (-.f64 1 b)) (exp.f64 a))
Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (-.f64 1/2 (*.f64 b 1/4)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (-.f64 1/2 (*.f64 b 1/4)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (-.f64 1/2 (*.f64 b 1/4)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (-.f64 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
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b
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(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 b 1))) 2)
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) b))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 1 (exp.f64 a)) b) 2))
(fabs.f64 (+.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 b 1)))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 b 1)))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (+.f64 b 1))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (+.f64 b 1)))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 b) (exp.f64 (+.f64 (exp.f64 a) 1))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1)))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 (exp.f64 a) 1))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1)))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (+.f64 (exp.f64 a) 1)) (+.f64 1 (expm1.f64 b))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))) (exp.f64 b)))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))) (+.f64 1 (expm1.f64 b))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (+.f64 b 1)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b 1))) (exp.f64 (exp.f64 a))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b 1))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 b 1)) 3))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) b)))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (exp.f64 a) 1 (+.f64 b 1))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 b 1 (+.f64 (exp.f64 a) 1))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 1 (exp.f64 a) (+.f64 b 1))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 1 b (+.f64 (exp.f64 a) 1))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 1 (+.f64 (exp.f64 a) 1) b)
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 1 (+.f64 b 1) (exp.f64 a))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (+.f64 (exp.f64 a) 1) 1 b)
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (+.f64 b 1) 1 (exp.f64 a))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) b)
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)) b)
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (+.f64 b 1))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (+.f64 b 1))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (cbrt.f64 (+.f64 b 1)) (pow.f64 (cbrt.f64 (+.f64 b 1)) 2) (exp.f64 a))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b 1)) 2) (cbrt.f64 (+.f64 b 1)) (exp.f64 a))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) 1))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 (exp.f64 a) 1))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)) b)
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (+.f64 b 1))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (hypot.f64 1 (sqrt.f64 b)) (hypot.f64 1 (sqrt.f64 b)) (exp.f64 a))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 (exp.f64 a) 1))
(+.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 b (+.f64 1 (exp.f64 a)))
(fma.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) b)
(+.f64 b (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))
(fma.f64 (+.f64 1 (pow.f64 b 3)) (/.f64 1 (fma.f64 b (-.f64 b 1) 1)) (exp.f64 a))
(fma.f64 (+.f64 1 (pow.f64 b 3)) (/.f64 1 (fma.f64 b (+.f64 b -1) 1)) (exp.f64 a))
(fma.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))) b)
(+.f64 b (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a))))
(fma.f64 (-.f64 1 (*.f64 b b)) (/.f64 1 (-.f64 1 b)) (exp.f64 a))

eval124.0ms (0.9%)

Compiler

Compiled 7269 to 4229 computations (41.8% saved)

prune95.0ms (0.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New44412456
Fresh202
Picked325
Done101
Total45014464
Accurracy
98.7%
Counts
464 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(/.f64 b (+.f64 1 (exp.f64 a)))
49.8%
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
50.2%
(+.f64 (*.f64 1/2 b) (log.f64 2))
97.2%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
59.5%
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
50.8%
(log1p.f64 (exp.f64 b))
50.9%
(log1p.f64 (exp.f64 a))
48.5%
(log.f64 (+.f64 b (+.f64 2 a)))
49.9%
(log.f64 (+.f64 b 2))
50.1%
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
1.5%
(log.f64 b)
49.0%
(log.f64 2)
97.1%
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
69.6%
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
51.7%
(/.f64 b (+.f64 1 (exp.f64 a)))
49.8%
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
50.2%
(+.f64 (*.f64 1/2 b) (log.f64 2))
97.2%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
59.5%
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
50.8%
(log1p.f64 (exp.f64 b))
50.9%
(log1p.f64 (exp.f64 a))
48.5%
(log.f64 (+.f64 b (+.f64 2 a)))
49.9%
(log.f64 (+.f64 b 2))
50.1%
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
1.5%
(log.f64 b)
49.0%
(log.f64 2)
97.1%
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
69.6%
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
Compiler

Compiled 488 to 364 computations (25.4% saved)

localize124.0ms (0.9%)

Local Accuracy

Found 10 expressions with local accuracy:

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

Compiled 111 to 65 computations (41.4% saved)

series8.0ms (0.1%)

Counts
10 → 147
Calls

39 calls:

TimeVariablePointExpression
3.0ms
b
@0
(+.f64 (*.f64 1/2 b) (log.f64 2))
0.0ms
b
@inf
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
0.0ms
b
@inf
(*.f64 1/2 (*.f64 b b))
0.0ms
b
@inf
(+.f64 b (*.f64 1/2 (*.f64 b b)))
0.0ms
b
@0
(+.f64 b (*.f64 1/2 (*.f64 b b)))

rewrite146.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
918×expm1-udef
916×log1p-udef
534×add-sqr-sqrt
524×pow1
522×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025186
1525174
27303174
Stop Event
node limit
Counts
10 → 326
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (exp.f64 a) 1)
(/.f64 b (+.f64 (exp.f64 a) 1))
(log.f64 (+.f64 b 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 b (*.f64 1/2 (*.f64 b b)))
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(*.f64 1/2 (*.f64 b b))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
Outputs
(+.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) -1)
(-.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(*.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))
(*.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)
(*.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(*.f64 (neg.f64 b) (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(*.f64 (/.f64 b (+.f64 (pow.f64 (exp.f64 a) 2) -1)) (expm1.f64 a))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) b))
(/.f64 1 (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))
(/.f64 (sqrt.f64 b) (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)))
(/.f64 (neg.f64 b) (+.f64 -1 (neg.f64 (exp.f64 a))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 a)))))
(/.f64 (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1) (+.f64 (*.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1) (+.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1))
(/.f64 (/.f64 b 1) (+.f64 (exp.f64 a) 1))
(/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (+.f64 (exp.f64 a) 1)))
(pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)
(pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)
(pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)
(neg.f64 (/.f64 b (+.f64 -1 (neg.f64 (exp.f64 a)))))
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))
(log.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 1 (log1p.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
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(-.f64 (/.f64 (*.f64 b b) (+.f64 b (*.f64 -1/2 (*.f64 b b)))) (/.f64 (*.f64 (pow.f64 b 4) 1/4) (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(*.f64 b (+.f64 1 (*.f64 b 1/2)))
(*.f64 b (+.f64 (*.f64 b 1/2) 1))
(*.f64 1 (fma.f64 1/2 (*.f64 b b) b))
(*.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)))
(*.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)))
(*.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2)))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)) (/.f64 1 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(*.f64 (+.f64 (*.f64 b 1/2) 1) b)
(/.f64 1 (/.f64 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2))) (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 3) (pow.f64 b 3)) (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 3) (pow.f64 b 3)) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 3) 1/2))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)) (+.f64 b (*.f64 -1/2 (*.f64 b b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))) (neg.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b 1/2)) b))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1 b (*.f64 b (*.f64 b 1/2)))
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 (*.f64 b b) 1/2 b)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 b (*.f64 b 1/2)))
(+.f64 0 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))) (log.f64 (sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) 2)) (log.f64 (cbrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))) (log.f64 (-.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 8)) (log.f64 (+.f64 4 (*.f64 (fma.f64 1/2 (*.f64 b b) b) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))) 1)
(*.f64 1 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(*.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))) 2) (cbrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))) (sqrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(pow.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))) 1))
(log1p.f64 (-.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2)))) 1)
(pow.f64 (*.f64 b (*.f64 b 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 3) 1/3)
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 b 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) b) b))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))
(exp.f64 (log.f64 (*.f64 b (*.f64 b 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))) 1)
(-.f64 (/.f64 4 (-.f64 2 (fma.f64 1/2 (*.f64 b b) b))) (/.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2) (-.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(*.f64 1 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(*.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) 1)
(*.f64 (cbrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) 2) (cbrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(*.f64 (sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) (sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 8) (/.f64 1 (+.f64 4 (*.f64 (fma.f64 1/2 (*.f64 b b) b) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2)))))
(*.f64 (-.f64 4 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2)) (/.f64 1 (-.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (fma.f64 1/2 (*.f64 b b) b) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2))) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 8)))
(/.f64 1 (/.f64 (-.f64 2 (fma.f64 1/2 (*.f64 b b) b)) (-.f64 4 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 8) (+.f64 4 (*.f64 (fma.f64 1/2 (*.f64 b b) b) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 8) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2) (-.f64 4 (*.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (-.f64 4 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2)) (-.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 8)) (neg.f64 (+.f64 4 (*.f64 (fma.f64 1/2 (*.f64 b b) b) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2)))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))) (neg.f64 (-.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (*.f64 b (*.f64 b 1/2)) 3)) (+.f64 (pow.f64 (+.f64 b 2) 2) (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (+.f64 b 2) (*.f64 b (*.f64 b 1/2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)) (-.f64 (+.f64 b 2) (*.f64 b (*.f64 b 1/2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2) 4) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) 3)
(pow.f64 (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))) (sqrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))) 2)) (cbrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(sqrt.f64 (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) 2))
(log.f64 (exp.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(cbrt.f64 (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(exp.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(log1p.f64 (expm1.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(fma.f64 1 (+.f64 b 2) (*.f64 b (*.f64 b 1/2)))
(fma.f64 1 (fma.f64 1/2 (*.f64 b b) b) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) (cbrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(fma.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)

simplify164.0ms (1.1%)

Algorithm
egg-herbie
Rules
982×log-prod
956×fma-def
636×associate-*r*
592×associate-*l*
444×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075412819
1187812217
2746612179
Stop Event
node limit
Counts
473 → 488
Calls
Call 1
Inputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
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(*.f64 (-.f64 4 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2)) (/.f64 1 (-.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (fma.f64 1/2 (*.f64 b b) b) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2))) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 8)))
(/.f64 1 (/.f64 (-.f64 2 (fma.f64 1/2 (*.f64 b b) b)) (-.f64 4 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 8) (+.f64 4 (*.f64 (fma.f64 1/2 (*.f64 b b) b) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 8) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2) (-.f64 4 (*.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (-.f64 4 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2)) (-.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 8)) (neg.f64 (+.f64 4 (*.f64 (fma.f64 1/2 (*.f64 b b) b) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2)))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))) (neg.f64 (-.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (*.f64 b (*.f64 b 1/2)) 3)) (+.f64 (pow.f64 (+.f64 b 2) 2) (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (+.f64 b 2) (*.f64 b (*.f64 b 1/2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)) (-.f64 (+.f64 b 2) (*.f64 b (*.f64 b 1/2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2) 4) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) 3)
(pow.f64 (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))) (sqrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))) 2)) (cbrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(sqrt.f64 (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) 2))
(log.f64 (exp.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(cbrt.f64 (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(exp.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(log1p.f64 (expm1.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(fma.f64 1 (+.f64 b 2) (*.f64 b (*.f64 b 1/2)))
(fma.f64 1 (fma.f64 1/2 (*.f64 b b) b) 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) (cbrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(fma.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(*.f64 b 1/2)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 (*.f64 a -1/4) 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a))))
(fma.f64 b 1/2 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 b 1/2 (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (-.f64 1/2 (*.f64 b 1/4)) a (fma.f64 b 1/2 (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (-.f64 1/2 (*.f64 b 1/4)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (-.f64 1/2 (*.f64 b 1/4)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (-.f64 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 a (*.f64 (pow.f64 a 3) 1/6))))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(*.f64 b 1/2)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 (*.f64 a -1/4) 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a))))
(fma.f64 b 1/2 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 b 1/2 (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2))))
(+.f64 (fma.f64 b 1/2 (log.f64 2)) (*.f64 -1/8 (*.f64 b b)))
(fma.f64 b 1/2 (fma.f64 -1/8 (*.f64 b b) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))))
(fma.f64 1/2 b (fma.f64 1/24 (pow.f64 b 3) (+.f64 (log.f64 2) (*.f64 -1/8 (*.f64 b b)))))
(fma.f64 b 1/2 (fma.f64 1/24 (pow.f64 b 3) (fma.f64 -1/8 (*.f64 b b) (log.f64 2))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b)))
(fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b))
(+.f64 (/.f64 2 b) (log.f64 b))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -1 (log.f64 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 2 b) (+.f64 (log.f64 b) (/.f64 -2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 2 b) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 8/3 (pow.f64 b 3)))) (/.f64 2 (*.f64 b b)))
(+.f64 (+.f64 (/.f64 2 b) (log.f64 b)) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 b))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 2 b) (log.f64 -1)))
(-.f64 (+.f64 (/.f64 2 b) (log.f64 -1)) (log.f64 (/.f64 -1 b)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 2 b) (log.f64 -1))) (/.f64 2 (*.f64 b b)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 2 b) (/.f64 -2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (*.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 2 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (log.f64 -1)))) (/.f64 2 (*.f64 b b)))
(+.f64 (+.f64 (-.f64 (+.f64 (/.f64 2 b) (log.f64 -1)) (log.f64 (/.f64 -1 b))) (/.f64 8/3 (pow.f64 b 3))) (/.f64 -2 (*.f64 b b)))
(log.f64 2)
(*.f64 1/2 b)
(*.f64 b 1/2)
(*.f64 1/2 b)
(*.f64 b 1/2)
b
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 b (*.f64 b 1/2))
(*.f64 1/2 (*.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
(*.f64 b (fma.f64 b 1/2 1))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 (*.f64 b 1/2) b b)
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(/.f64 (-.f64 4 (pow.f64 (fma.f64 (*.f64 b 1/2) b b) 2)) (-.f64 2 (fma.f64 (*.f64 b 1/2) b b)))
(/.f64 (-.f64 4 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2)) (-.f64 2 (*.f64 b (fma.f64 b 1/2 1))))
(/.f64 1 (/.f64 (+.f64 4 (*.f64 (fma.f64 1/2 (*.f64 b b) b) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2))) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 8)))
(*.f64 (+.f64 8 (pow.f64 (fma.f64 (*.f64 b 1/2) b b) 3)) (/.f64 1 (+.f64 4 (*.f64 (fma.f64 (*.f64 b 1/2) b b) (+.f64 (fma.f64 (*.f64 b 1/2) b b) -2)))))
(/.f64 (+.f64 8 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 3)) (fma.f64 (*.f64 b (fma.f64 b 1/2 1)) (+.f64 -2 (*.f64 b (fma.f64 b 1/2 1))) 4))
(/.f64 1 (/.f64 (-.f64 2 (fma.f64 1/2 (*.f64 b b) b)) (-.f64 4 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))))
(/.f64 (-.f64 4 (pow.f64 (fma.f64 (*.f64 b 1/2) b b) 2)) (-.f64 2 (fma.f64 (*.f64 b 1/2) b b)))
(/.f64 (-.f64 4 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2)) (-.f64 2 (*.f64 b (fma.f64 b 1/2 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 8) (+.f64 4 (*.f64 (fma.f64 1/2 (*.f64 b b) b) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2))))
(*.f64 (+.f64 8 (pow.f64 (fma.f64 (*.f64 b 1/2) b b) 3)) (/.f64 1 (+.f64 4 (*.f64 (fma.f64 (*.f64 b 1/2) b b) (+.f64 (fma.f64 (*.f64 b 1/2) b b) -2)))))
(/.f64 (+.f64 8 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 3)) (fma.f64 (*.f64 b (fma.f64 b 1/2 1)) (+.f64 -2 (*.f64 b (fma.f64 b 1/2 1))) 4))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 8) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2) (-.f64 4 (*.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (+.f64 8 (pow.f64 (fma.f64 (*.f64 b 1/2) b b) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 b 1/2) b b) 2) (+.f64 4 (*.f64 -2 (fma.f64 (*.f64 b 1/2) b b)))))
(/.f64 (+.f64 8 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 3)) (+.f64 4 (+.f64 (*.f64 -2 (*.f64 b (fma.f64 b 1/2 1))) (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2))))
(/.f64 (-.f64 4 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2)) (-.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 (-.f64 4 (pow.f64 (fma.f64 (*.f64 b 1/2) b b) 2)) (-.f64 2 (fma.f64 (*.f64 b 1/2) b b)))
(/.f64 (-.f64 4 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2)) (-.f64 2 (*.f64 b (fma.f64 b 1/2 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 8)) (neg.f64 (+.f64 4 (*.f64 (fma.f64 1/2 (*.f64 b b) b) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 b 1/2) b b) 3)) -8) (neg.f64 (+.f64 4 (*.f64 (fma.f64 (*.f64 b 1/2) b b) (+.f64 (fma.f64 (*.f64 b 1/2) b b) -2)))))
(/.f64 (-.f64 -8 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 3)) (-.f64 -4 (*.f64 (*.f64 b (fma.f64 b 1/2 1)) (+.f64 -2 (*.f64 b (fma.f64 b 1/2 1))))))
(/.f64 (neg.f64 (-.f64 4 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))) (neg.f64 (-.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(neg.f64 (/.f64 (-.f64 4 (pow.f64 (fma.f64 (*.f64 b 1/2) b b) 2)) (neg.f64 (-.f64 2 (fma.f64 (*.f64 b 1/2) b b)))))
(/.f64 (+.f64 -4 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2)) (+.f64 -2 (*.f64 b (fma.f64 b 1/2 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (*.f64 b (*.f64 b 1/2)) 3)) (+.f64 (pow.f64 (+.f64 b 2) 2) (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (+.f64 b 2) (*.f64 b (*.f64 b 1/2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 1/2)) 3) (pow.f64 (+.f64 b 2) 3)) (+.f64 (pow.f64 (+.f64 b 2) 2) (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 (+.f64 b 2) (*.f64 b (*.f64 b 1/2))))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) (pow.f64 (+.f64 b 2) 3)) (+.f64 (pow.f64 (+.f64 b 2) 2) (fma.f64 1/4 (pow.f64 b 4) (*.f64 (+.f64 b 2) (*.f64 b (*.f64 b -1/2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)) (-.f64 (+.f64 b 2) (*.f64 b (*.f64 b 1/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 1/4 (pow.f64 b 4))) (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4))) (+.f64 2 (fma.f64 -1/2 (*.f64 b b) b)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2) 4) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(neg.f64 (/.f64 (-.f64 4 (pow.f64 (fma.f64 (*.f64 b 1/2) b b) 2)) (neg.f64 (-.f64 2 (fma.f64 (*.f64 b 1/2) b b)))))
(/.f64 (+.f64 -4 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) 2)) (+.f64 -2 (*.f64 b (fma.f64 b 1/2 1))))
(pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) 1)
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(pow.f64 (E.f64) (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(pow.f64 (cbrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) 3)
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(pow.f64 (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) 3) 1/3)
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(pow.f64 (sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) 2)
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))) (sqrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))) 2)) (cbrt.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(sqrt.f64 (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) 2))
(sqrt.f64 (pow.f64 (+.f64 2 (fma.f64 (*.f64 b 1/2) b b)) 2))
(fabs.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))))
(log.f64 (exp.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(cbrt.f64 (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) 3))
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(expm1.f64 (log1p.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(exp.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(log1p.f64 (expm1.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(fma.f64 1 (+.f64 b 2) (*.f64 b (*.f64 b 1/2)))
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(fma.f64 1 (fma.f64 1/2 (*.f64 b b) b) 2)
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) (cbrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2)))
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(fma.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2)))
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(+.f64 2 (fma.f64 (*.f64 b 1/2) b b))
(+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))

eval156.0ms (1.1%)

Compiler

Compiled 8258 to 5423 computations (34.3% saved)

prune90.0ms (0.6%)

Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New4826488
Fresh257
Picked145
Done022
Total48517502
Accurracy
98.7%
Counts
502 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
51.7%
(/.f64 b (+.f64 1 (exp.f64 a)))
49.8%
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
50.2%
(+.f64 (*.f64 1/2 b) (log.f64 2))
97.2%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))))
58.1%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
59.5%
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
49.9%
(log1p.f64 (+.f64 b 1))
50.8%
(log1p.f64 (exp.f64 b))
50.9%
(log1p.f64 (exp.f64 a))
48.5%
(log.f64 (+.f64 b (+.f64 2 a)))
49.9%
(log.f64 (+.f64 b 2))
50.1%
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
1.5%
(log.f64 b)
49.0%
(log.f64 2)
50.1%
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2))))
50.1%
(exp.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))))
49.4%
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
51.7%
(/.f64 b (+.f64 1 (exp.f64 a)))
49.8%
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
50.2%
(+.f64 (*.f64 1/2 b) (log.f64 2))
97.2%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))))
58.1%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
59.5%
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
49.9%
(log1p.f64 (+.f64 b 1))
50.8%
(log1p.f64 (exp.f64 b))
50.9%
(log1p.f64 (exp.f64 a))
48.5%
(log.f64 (+.f64 b (+.f64 2 a)))
49.9%
(log.f64 (+.f64 b 2))
50.1%
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
1.5%
(log.f64 b)
49.0%
(log.f64 2)
50.1%
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2))))
50.1%
(exp.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))))
Compiler

Compiled 504 to 398 computations (21% saved)

localize199.0ms (1.4%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
100.0%
(fma.f64 b 1/2 (log.f64 2))
99.9%
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2))))
100.0%
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
100.0%
(/.f64 a (+.f64 2 b))
100.0%
(log.f64 (+.f64 2 b))
100.0%
(log.f64 (+.f64 b (+.f64 2 a)))
100.0%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))))
100.0%
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
99.9%
(expm1.f64 (log1p.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))))))
99.4%
(log1p.f64 (+.f64 (exp.f64 a) 1))
Compiler

Compiled 135 to 87 computations (35.6% saved)

series39.0ms (0.3%)

Counts
10 → 159
Calls

45 calls:

TimeVariablePointExpression
15.0ms
a
@-inf
(log1p.f64 (+.f64 (exp.f64 a) 1))
12.0ms
a
@inf
(log1p.f64 (+.f64 (exp.f64 a) 1))
3.0ms
a
@0
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
0.0ms
a
@inf
(/.f64 a (+.f64 2 b))
0.0ms
a
@inf
(log.f64 (+.f64 b (+.f64 2 a)))

rewrite152.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1006×expm1-udef
576×add-sqr-sqrt
570×pow1
564×*-un-lft-identity
550×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029170
1573170
27852170
Stop Event
node limit
Counts
10 → 303
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (exp.f64 a) 1))
(expm1.f64 (log1p.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))))))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))))
(log.f64 (+.f64 b (+.f64 2 a)))
(log.f64 (+.f64 2 b))
(/.f64 a (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 (exp.f64 a))))) 1)
(*.f64 1 (log.f64 (+.f64 2 (exp.f64 a))))
(*.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2) (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 2))
(log.f64 (+.f64 2 (exp.f64 a)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 1))
(+.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) -1)
(-.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(*.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))
(*.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)
(*.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(*.f64 (neg.f64 b) (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)))
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(pow.f64 (/.f64 (+.f64 b 2) a) -1)
(neg.f64 (/.f64 a (+.f64 (neg.f64 b) -2)))
(sqrt.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2))
(log.f64 (exp.f64 (/.f64 a (+.f64 b 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 b 2)))))
(cbrt.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 a (+.f64 b 2))))
(exp.f64 (log.f64 (/.f64 a (+.f64 b 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (+.f64 b 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 a (+.f64 b 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2) (-.f64 (/.f64 a (+.f64 b 2)) (log.f64 (+.f64 b 2)))) (/.f64 (pow.f64 (log.f64 (+.f64 b 2)) 2) (-.f64 (/.f64 a (+.f64 b 2)) (log.f64 (+.f64 b 2)))))
(*.f64 1 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))))
(*.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))) 1)
(*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))) 2) (cbrt.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))) (sqrt.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
(*.f64 (+.f64 (pow.f64 (log.f64 (+.f64 b 2)) 3) (pow.f64 (/.f64 a (+.f64 b 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2) (*.f64 (log.f64 (+.f64 b 2)) (-.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))))
(*.f64 (-.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2) (pow.f64 (log.f64 (+.f64 b 2)) 2)) (/.f64 1 (-.f64 (/.f64 a (+.f64 b 2)) (log.f64 (+.f64 b 2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2) (*.f64 (log.f64 (+.f64 b 2)) (-.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))))) (+.f64 (pow.f64 (log.f64 (+.f64 b 2)) 3) (pow.f64 (/.f64 a (+.f64 b 2)) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 a (+.f64 b 2)) (log.f64 (+.f64 b 2))) (-.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2) (pow.f64 (log.f64 (+.f64 b 2)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 b 2)) 3) (pow.f64 (/.f64 a (+.f64 b 2)) 3)) (+.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2) (*.f64 (log.f64 (+.f64 b 2)) (-.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 b 2)) 3) (pow.f64 (/.f64 a (+.f64 b 2)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 b 2)) 2) (-.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2) (*.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))))))
(/.f64 (-.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2) (pow.f64 (log.f64 (+.f64 b 2)) 2)) (-.f64 (/.f64 a (+.f64 b 2)) (log.f64 (+.f64 b 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 b 2)) 3) (pow.f64 (/.f64 a (+.f64 b 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2) (*.f64 (log.f64 (+.f64 b 2)) (-.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2) (pow.f64 (log.f64 (+.f64 b 2)) 2))) (neg.f64 (-.f64 (/.f64 a (+.f64 b 2)) (log.f64 (+.f64 b 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 b 2)) 2) (pow.f64 (/.f64 a (+.f64 b 2)) 2)) (-.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))))
(pow.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))) 2))
(log.f64 (*.f64 (+.f64 b 2) (exp.f64 (/.f64 a (+.f64 b 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
(exp.f64 (log.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
(fma.f64 a (/.f64 1 (+.f64 b 2)) (log.f64 (+.f64 b 2)))
(fma.f64 1 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))
(fma.f64 1 (/.f64 a (+.f64 b 2)) (log.f64 (+.f64 b 2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) 2) (cbrt.f64 (log.f64 (+.f64 b 2))) (/.f64 a (+.f64 b 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 b 2))) 2) (cbrt.f64 (/.f64 a (+.f64 b 2))) (log.f64 (+.f64 b 2)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 b 2))) (sqrt.f64 (log.f64 (+.f64 b 2))) (/.f64 a (+.f64 b 2)))
(fma.f64 (sqrt.f64 (/.f64 a (+.f64 b 2))) (sqrt.f64 (/.f64 a (+.f64 b 2))) (log.f64 (+.f64 b 2)))
(+.f64 (log.f64 2) (*.f64 b 1/2))
(+.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) -1)
(+.f64 (*.f64 b 1/2) (log.f64 2))
(+.f64 (*.f64 (*.f64 b 1/2) 1) (log.f64 2))
(-.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1)
(*.f64 1 (fma.f64 b 1/2 (log.f64 2)))
(*.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 b 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 b 1/2) (*.f64 b 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 b 1/2) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 3) 1) (+.f64 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2)))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1))))
(/.f64 (-.f64 (*.f64 (*.f64 b 1/2) (*.f64 b 1/2)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 b 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2)))) 1) (+.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1))
(pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 (exp.f64 (*.f64 b 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 b 1/2))
(+.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) -1)
(+.f64 (*.f64 b 1/2) (log.f64 2))
(+.f64 (*.f64 (*.f64 b 1/2) 1) (log.f64 2))
(-.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1)
(*.f64 1 (fma.f64 b 1/2 (log.f64 2)))
(*.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 b 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 b 1/2) (*.f64 b 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 b 1/2) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 3) 1) (+.f64 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2)))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1))))
(/.f64 (-.f64 (*.f64 (*.f64 b 1/2) (*.f64 b 1/2)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 b 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2)))) 1) (+.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1))
(pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 (exp.f64 (*.f64 b 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log.f64 2))))

simplify122.0ms (0.8%)

Algorithm
egg-herbie
Rules
1448×fma-def
722×associate-*r*
692×associate-+r+
686×associate-*l*
634×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086613962
1228713182
Stop Event
node limit
Counts
462 → 562
Calls
Call 1
Inputs
(log.f64 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(+.f64 (*.f64 1/81 (pow.f64 a 3)) (+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 2 a))
(+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 a) 2))) (+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 a) 2))) (+.f64 (log.f64 (+.f64 2 a)) (+.f64 (/.f64 b (+.f64 2 a)) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2))))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 3))) (+.f64 (log.f64 -1) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2))))))))
(log.f64 (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 2)))))
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(/.f64 (-.f64 (*.f64 (*.f64 b 1/2) (*.f64 b 1/2)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 b 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2)))) 1) (+.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1))
(pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 (exp.f64 (*.f64 b 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 b 1/2))
(+.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) -1)
(+.f64 (*.f64 b 1/2) (log.f64 2))
(+.f64 (*.f64 (*.f64 b 1/2) 1) (log.f64 2))
(-.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1)
(*.f64 1 (fma.f64 b 1/2 (log.f64 2)))
(*.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 b 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 b 1/2) (*.f64 b 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 b 1/2) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 3) 1) (+.f64 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2)))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1))))
(/.f64 (-.f64 (*.f64 (*.f64 b 1/2) (*.f64 b 1/2)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 b 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2)))) 1) (+.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1))
(pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 (exp.f64 (*.f64 b 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log.f64 2))))
Outputs
(log.f64 3)
(+.f64 (*.f64 1/3 a) (log.f64 3))
(fma.f64 1/3 a (log.f64 3))
(+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3)))
(fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3)))
(+.f64 (*.f64 1/81 (pow.f64 a 3)) (+.f64 (*.f64 1/3 a) (+.f64 (*.f64 1/9 (pow.f64 a 2)) (log.f64 3))))
(fma.f64 1/81 (pow.f64 a 3) (fma.f64 1/3 a (fma.f64 1/9 (*.f64 a a) (log.f64 3))))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(log.f64 (+.f64 2 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(*.f64 1/2 b)
(*.f64 b 1/2)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 a b)))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 b 1/2 (fma.f64 -1/4 (*.f64 a b) (*.f64 a (*.f64 a 0))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 b 1/2 (-.f64 (fma.f64 -1/4 (*.f64 a b) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(fma.f64 (*.f64 a a) 1/2 (+.f64 a 2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 a (*.f64 (pow.f64 a 3) 1/6))))
(+.f64 (fma.f64 (*.f64 a a) 1/2 2) (fma.f64 (pow.f64 a 3) 1/6 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 (exp.f64 a) 1)
(+.f64 2 (expm1.f64 a))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 b 1/2 (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (-.f64 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 b (+.f64 2 (expm1.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 2 (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 2 a))
(log.f64 (+.f64 a 2))
(+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a)))
(+.f64 (log.f64 (+.f64 a 2)) (/.f64 b (+.f64 a 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 a) 2))) (+.f64 (log.f64 (+.f64 2 a)) (/.f64 b (+.f64 2 a))))
(fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 a 2) 2)) (+.f64 (log.f64 (+.f64 a 2)) (/.f64 b (+.f64 a 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 a) 2))) (+.f64 (log.f64 (+.f64 2 a)) (+.f64 (/.f64 b (+.f64 2 a)) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 a) 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 a 2) 2)) (+.f64 (log.f64 (+.f64 a 2)) (+.f64 (/.f64 b (+.f64 a 2)) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 a 2) 3))))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 a 2) 2)) (log.f64 (+.f64 a 2))) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 a 2) 3)) (/.f64 b (+.f64 a 2))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 a b)) (/.f64 2 b))
(+.f64 (log.f64 b) (+.f64 (/.f64 a b) (/.f64 2 b)))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 a b) (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 2))))))
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(*.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) (pow.f64 (/.f64 a (+.f64 2 b)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 2) (*.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) (pow.f64 (/.f64 a (+.f64 2 b)) 3)) (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 a (+.f64 2 b)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 b 2)) 3) (pow.f64 (/.f64 a (+.f64 b 2)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 b 2)) 2) (-.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2) (*.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) (pow.f64 (/.f64 a (+.f64 2 b)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (-.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 2) (*.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) (pow.f64 (/.f64 a (+.f64 2 b)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (*.f64 (/.f64 a (+.f64 2 b)) (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))))
(/.f64 (-.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2) (pow.f64 (log.f64 (+.f64 b 2)) 2)) (-.f64 (/.f64 a (+.f64 b 2)) (log.f64 (+.f64 b 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 2) (pow.f64 (log.f64 (+.f64 2 b)) 2)) (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 b 2)) 3) (pow.f64 (/.f64 a (+.f64 b 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2) (*.f64 (log.f64 (+.f64 b 2)) (-.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) (pow.f64 (/.f64 a (+.f64 2 b)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 2) (*.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 b)) 3) (pow.f64 (/.f64 a (+.f64 2 b)) 3)) (fma.f64 (log.f64 (+.f64 2 b)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (pow.f64 (/.f64 a (+.f64 2 b)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a (+.f64 b 2)) 2) (pow.f64 (log.f64 (+.f64 b 2)) 2))) (neg.f64 (-.f64 (/.f64 a (+.f64 b 2)) (log.f64 (+.f64 b 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 2) (pow.f64 (log.f64 (+.f64 2 b)) 2))) (neg.f64 (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 2) (pow.f64 (log.f64 (+.f64 2 b)) 2)) (-.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 b 2)) 2) (pow.f64 (/.f64 a (+.f64 b 2)) 2)) (-.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 b)) 2) (pow.f64 (/.f64 a (+.f64 2 b)) 2)) (-.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))
(pow.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))) 1)
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(pow.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))) 3)
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(pow.f64 (pow.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))) 3) 1/3)
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(pow.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))) 2)
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))) 2))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) 2))
(fabs.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))
(log.f64 (*.f64 (+.f64 b 2) (exp.f64 (/.f64 a (+.f64 b 2)))))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))))))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2))) 3))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(exp.f64 (log.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))) 1))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(fma.f64 a (/.f64 1 (+.f64 b 2)) (log.f64 (+.f64 b 2)))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(fma.f64 1 (log.f64 (+.f64 b 2)) (/.f64 a (+.f64 b 2)))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(fma.f64 1 (/.f64 a (+.f64 b 2)) (log.f64 (+.f64 b 2)))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) 2) (cbrt.f64 (log.f64 (+.f64 b 2))) (/.f64 a (+.f64 b 2)))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 a (+.f64 b 2))) 2) (cbrt.f64 (/.f64 a (+.f64 b 2))) (log.f64 (+.f64 b 2)))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 b 2))) (sqrt.f64 (log.f64 (+.f64 b 2))) (/.f64 a (+.f64 b 2)))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(fma.f64 (sqrt.f64 (/.f64 a (+.f64 b 2))) (sqrt.f64 (/.f64 a (+.f64 b 2))) (log.f64 (+.f64 b 2)))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(+.f64 (log.f64 2) (*.f64 b 1/2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) -1)
(+.f64 1 (+.f64 (fma.f64 b 1/2 (log.f64 2)) -1))
(+.f64 0 (fma.f64 b 1/2 (log.f64 2)))
(+.f64 (*.f64 b 1/2) (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (*.f64 (*.f64 b 1/2) 1) (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(-.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1)
(+.f64 1 (+.f64 (fma.f64 b 1/2 (log.f64 2)) -1))
(+.f64 0 (fma.f64 b 1/2 (log.f64 2)))
(*.f64 1 (fma.f64 b 1/2 (log.f64 2)))
(fma.f64 b 1/2 (log.f64 2))
(*.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(fma.f64 b 1/2 (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2))
(fma.f64 b 1/2 (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))
(/.f64 (+.f64 (pow.f64 (*.f64 b 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 b 1/2) (*.f64 b 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 b 1/2) (log.f64 2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 b b) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 b 1/2)))))
(/.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 b (*.f64 b 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b 1/2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 3) 1) (+.f64 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2)))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 3) -1) (fma.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 3) -1) (fma.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 2 (fma.f64 b 1/2 (log.f64 2)))))
(/.f64 (-.f64 (*.f64 (*.f64 b 1/2) (*.f64 b 1/2)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 b 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 b 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 b 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2)))) 1) (+.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1))
(/.f64 (fma.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) -1) (+.f64 1 (+.f64 1 (fma.f64 b 1/2 (log.f64 2)))))
(/.f64 (*.f64 (+.f64 2 (fma.f64 b 1/2 (log.f64 2))) (+.f64 0 (fma.f64 b 1/2 (log.f64 2)))) (+.f64 2 (fma.f64 b 1/2 (log.f64 2))))
(pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(fma.f64 b 1/2 (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 3)
(fma.f64 b 1/2 (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3) 1/3)
(fma.f64 b 1/2 (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
(fma.f64 b 1/2 (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2))
(fabs.f64 (fma.f64 b 1/2 (log.f64 2)))
(log.f64 (*.f64 (exp.f64 (*.f64 b 1/2)) 2))
(fma.f64 b 1/2 (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log.f64 2)))))
(fma.f64 b 1/2 (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3))
(fma.f64 b 1/2 (log.f64 2))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))) 1))
(fma.f64 b 1/2 (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 b 1/2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) -1)
(+.f64 1 (+.f64 (fma.f64 b 1/2 (log.f64 2)) -1))
(+.f64 0 (fma.f64 b 1/2 (log.f64 2)))
(+.f64 (*.f64 b 1/2) (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (*.f64 (*.f64 b 1/2) 1) (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(-.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1)
(+.f64 1 (+.f64 (fma.f64 b 1/2 (log.f64 2)) -1))
(+.f64 0 (fma.f64 b 1/2 (log.f64 2)))
(*.f64 1 (fma.f64 b 1/2 (log.f64 2)))
(fma.f64 b 1/2 (log.f64 2))
(*.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(fma.f64 b 1/2 (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2))
(fma.f64 b 1/2 (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))
(/.f64 (+.f64 (pow.f64 (*.f64 b 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 b 1/2) (*.f64 b 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 b 1/2) (log.f64 2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 b 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 b b) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 b 1/2)))))
(/.f64 (fma.f64 (pow.f64 b 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 b (*.f64 b 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b 1/2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 3) 1) (+.f64 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2)))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 3) -1) (fma.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 3) -1) (fma.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 2 (fma.f64 b 1/2 (log.f64 2)))))
(/.f64 (-.f64 (*.f64 (*.f64 b 1/2) (*.f64 b 1/2)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 b 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (*.f64 b b) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 b 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 b 1/2) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2)))) 1) (+.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) 1))
(/.f64 (fma.f64 (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) (+.f64 1 (fma.f64 b 1/2 (log.f64 2))) -1) (+.f64 1 (+.f64 1 (fma.f64 b 1/2 (log.f64 2)))))
(/.f64 (*.f64 (+.f64 2 (fma.f64 b 1/2 (log.f64 2))) (+.f64 0 (fma.f64 b 1/2 (log.f64 2)))) (+.f64 2 (fma.f64 b 1/2 (log.f64 2))))
(pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(fma.f64 b 1/2 (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 3)
(fma.f64 b 1/2 (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3) 1/3)
(fma.f64 b 1/2 (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
(fma.f64 b 1/2 (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2))
(fabs.f64 (fma.f64 b 1/2 (log.f64 2)))
(log.f64 (*.f64 (exp.f64 (*.f64 b 1/2)) 2))
(fma.f64 b 1/2 (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log.f64 2)))))
(fma.f64 b 1/2 (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3))
(fma.f64 b 1/2 (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))) 1))
(fma.f64 b 1/2 (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))

eval204.0ms (1.4%)

Compiler

Compiled 10504 to 6997 computations (33.4% saved)

prune98.0ms (0.7%)

Pruning

19 alts after pruning (10 fresh and 9 done)

PrunedKeptTotal
New5584562
Fresh066
Picked235
Done066
Total56019579
Accurracy
98.7%
Counts
579 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
51.7%
(/.f64 b (+.f64 1 (exp.f64 a)))
2.6%
(/.f64 a (+.f64 2 b))
50.2%
(+.f64 (*.f64 1/2 b) (log.f64 2))
48.9%
(+.f64 (*.f64 1/2 a) (log.f64 2))
97.2%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))))
58.1%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
59.5%
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
49.9%
(log1p.f64 (+.f64 b 1))
48.5%
(log1p.f64 (+.f64 a (+.f64 b 1)))
50.8%
(log1p.f64 (exp.f64 b))
50.9%
(log1p.f64 (exp.f64 a))
49.9%
(log.f64 (+.f64 b 2))
47.6%
(log.f64 (+.f64 a 2))
50.1%
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
1.5%
(log.f64 b)
49.0%
(log.f64 2)
50.1%
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2))))
50.1%
(exp.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))))
Compiler

Compiled 373 to 256 computations (31.4% saved)

regimes48.0ms (0.3%)

Counts
30 → 1
Calls
Call 1
Inputs
(/.f64 a (+.f64 2 b))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 a 2))
(log.f64 (+.f64 b 2))
(log1p.f64 (+.f64 b 1))
(log.f64 (+.f64 b (+.f64 2 a)))
(log1p.f64 (+.f64 a (+.f64 b 1)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2))))
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Calls

6 calls:

14.0ms
a
14.0ms
b
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.0%1a
98.0%1b
98.0%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.0%1(+.f64 (exp.f64 a) (exp.f64 b))
98.0%1(exp.f64 a)
98.0%1(exp.f64 b)
Compiler

Compiled 247 to 153 computations (38.1% saved)

regimes35.0ms (0.2%)

Counts
20 → 1
Calls
Call 1
Inputs
(/.f64 a (+.f64 2 b))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 a 2))
(log.f64 (+.f64 b 2))
(log1p.f64 (+.f64 b 1))
(log.f64 (+.f64 b (+.f64 2 a)))
(log1p.f64 (+.f64 a (+.f64 b 1)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Calls

6 calls:

10.0ms
b
9.0ms
a
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
97.0%1a
97.0%1b
97.0%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.0%1(+.f64 (exp.f64 a) (exp.f64 b))
97.0%1(exp.f64 a)
97.0%1(exp.f64 b)
Compiler

Compiled 145 to 96 computations (33.8% saved)

regimes87.0ms (0.6%)

Counts
19 → 2
Calls
Call 1
Inputs
(/.f64 a (+.f64 2 b))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 a 2))
(log.f64 (+.f64 b 2))
(log1p.f64 (+.f64 b 1))
(log.f64 (+.f64 b (+.f64 2 a)))
(log1p.f64 (+.f64 a (+.f64 b 1)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

6 calls:

49.0ms
b
18.0ms
a
4.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.5%2a
72.5%6b
97.7%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.7%2(+.f64 (exp.f64 a) (exp.f64 b))
98.5%2(exp.f64 a)
54.1%1(exp.f64 b)
Compiler

Compiled 139 to 93 computations (33.1% saved)

regimes25.0ms (0.2%)

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

2 calls:

17.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.1%2(exp.f64 a)
98.1%2a
Compiler

Compiled 111 to 75 computations (32.4% saved)

regimes23.0ms (0.2%)

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

2 calls:

16.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.8%2a
97.8%2(exp.f64 a)
Compiler

Compiled 98 to 68 computations (30.6% saved)

regimes22.0ms (0.2%)

Counts
16 → 2
Calls
Call 1
Inputs
(/.f64 a (+.f64 2 b))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 a 2))
(log.f64 (+.f64 b 2))
(log1p.f64 (+.f64 b 1))
(log.f64 (+.f64 b (+.f64 2 a)))
(log1p.f64 (+.f64 a (+.f64 b 1)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 b))
Calls

2 calls:

15.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.6%2a
97.6%2(exp.f64 a)
Compiler

Compiled 91 to 64 computations (29.7% saved)

regimes21.0ms (0.1%)

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

2 calls:

14.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.3%2a
97.3%2(exp.f64 a)
Compiler

Compiled 83 to 59 computations (28.9% saved)

regimes19.0ms (0.1%)

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

2 calls:

13.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.3%2a
97.3%2(exp.f64 a)
Compiler

Compiled 70 to 51 computations (27.1% saved)

regimes13.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
(/.f64 a (+.f64 2 b))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 a 2))
(log.f64 (+.f64 b 2))
(log1p.f64 (+.f64 b 1))
(log.f64 (+.f64 b (+.f64 2 a)))
(log1p.f64 (+.f64 a (+.f64 b 1)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
Calls

2 calls:

6.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
50.2%1b
50.2%1a
Compiler

Compiled 53 to 39 computations (26.4% saved)

regimes13.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(/.f64 a (+.f64 2 b))
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 a 2))
(log.f64 (+.f64 b 2))
(log1p.f64 (+.f64 b 1))
(log.f64 (+.f64 b (+.f64 2 a)))
(log1p.f64 (+.f64 a (+.f64 b 1)))
(+.f64 (*.f64 1/2 a) (log.f64 2))
Outputs
(log.f64 (+.f64 b 2))
Calls

2 calls:

5.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
49.9%1a
49.9%1b
Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes9.0ms (0.1%)

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

2 calls:

4.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
49.0%1a
49.0%1b
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
2.6%1a
2.6%1b
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch18.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-1413.599940154389
-0.32447328641621637
Results
14.0ms119×body256valid
2.0msbody512valid
Compiler

Compiled 157 to 122 computations (22.3% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-1413.599940154389
-0.32447328641621637
Results
15.0ms116×body256valid
3.0ms12×body512valid
Compiler

Compiled 213 to 162 computations (23.9% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.7229080188558596
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.7229080188558596
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.7229080188558596
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.7229080188558596
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
054402
170402
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 a -38) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 a -38) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (+.f64 a (+.f64 b 1))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log.f64 (+.f64 b 2))
(log.f64 2)
(/.f64 a (+.f64 2 b))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 a -38) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 a -38) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 a -38) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))))
(if (<=.f64 a -38) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (/.f64 a (+.f64 b 2)) (log.f64 (+.f64 b 2))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (+.f64 a (+.f64 b 1))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (+.f64 a (+.f64 b 1))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 b 1/2) (log.f64 2))
(log.f64 (+.f64 b 2))
(log.f64 2)
(/.f64 a (+.f64 2 b))
(/.f64 a (+.f64 b 2))
Compiler

Compiled 166 to 117 computations (29.5% saved)

soundness1.4s (9.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01972874
14872502
216162316
371442316
01972874
14872502
216162316
371442316
01972874
14872502
216162316
371442316
072811035
1176210595
2615010579
072811035
1176210595
2615010579
029170
1573170
27852170
086613962
1228713182
01972874
14872502
216162316
371442316
0934
117734
2226234
01972874
14872502
216162316
371442316
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 334 to 195 computations (41.6% saved)

end114.0ms (0.8%)

Compiler

Compiled 340 to 210 computations (38.2% saved)

Profiling

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