symmetry log of sum of exp

Time bar (total: 15.1s)

analyze0.0ms (0%)

Algorithm
1×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)

sample9.6s (64%)

Results
7.4s7812×body8192exit
1.1s2037×body1024valid
688.0ms5010×body256valid
327.0ms1004×body512valid
147.0ms205×body2048valid
Bogosity

preprocess85.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
019103
130103
240103
354103
490103
5164103
6346103
7824103
82270103
95766103
107970103
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 (neg.f64 b))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 (neg.f64 b))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Symmetry

(sort a b)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶54.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize71.0ms (0.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓54.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 20 to 7 computations (65% saved)

series77.0ms (0.5%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
26.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
16.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
12.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite69.0ms (0.5%)

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

simplify80.0ms (0.5%)

Algorithm
1×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
1×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))
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(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 2) b)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 2) b)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 2) b)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 2) b)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (+.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) -1)
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))

eval47.0ms (0.3%)

Compiler

Compiled 2074 to 1062 computations (48.8% saved)

prune56.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New10910119
Fresh000
Picked011
Done000
Total10911120
Accuracy
99.0%
Counts
120 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.4%
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
▶97.8%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
97.7%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
49.7%
(log1p.f64 (exp.f64 b))
▶50.0%
(log1p.f64 (exp.f64 a))
51.6%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓54.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
52.2%
(log.f64 (+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1))))
▶52.2%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
▶49.7%
(log.f64 (+.f64 1 (exp.f64 b)))
54.4%
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
▶49.4%
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
▶97.8%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
97.7%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
49.7%
(log1p.f64 (exp.f64 b))
▶50.0%
(log1p.f64 (exp.f64 a))
51.6%
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓54.4%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
52.2%
(log.f64 (+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1))))
▶52.2%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
▶49.7%
(log.f64 (+.f64 1 (exp.f64 b)))
54.4%
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
Compiler

Compiled 408 to 304 computations (25.5% saved)

localize246.0ms (1.6%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
✓100.0%
(+.f64 1 (exp.f64 b))
✓99.9%
(/.f64 a (+.f64 1 (exp.f64 b)))
✓98.8%
(log1p.f64 (exp.f64 b))
✓100.0%
(*.f64 1/2 (*.f64 b b))
✓100.0%
(+.f64 b (*.f64 1/2 (*.f64 b b)))
✓100.0%
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
✓55.9%
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
✓100.0%
(+.f64 1 (exp.f64 b))
✓98.1%
(log.f64 (+.f64 1 (exp.f64 b)))
✓100.0%
(log1p.f64 (exp.f64 a))
✓100.0%
(log1p.f64 (exp.f64 a))
✓100.0%
(/.f64 b (+.f64 1 (exp.f64 a)))
✓100.0%
(+.f64 1 (exp.f64 a))
✓100.0%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Compiler

Compiled 134 to 58 computations (56.7% saved)

series191.0ms (1.3%)

Counts
15 → 180
Calls

63 calls:

TimeVariablePointExpression
57.0ms
a
@inf
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
28.0ms
b
@inf
(log1p.f64 (exp.f64 b))
28.0ms
a
@inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
21.0ms
b
@inf
(log.f64 (+.f64 1 (exp.f64 b)))
14.0ms
a
@-inf
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))

rewrite164.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
928×expm1-udef
536×add-sqr-sqrt
526×pow1
526×*-un-lft-identity
504×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024265
1534253
27789253
Stop Event
1×node limit
Counts
15 → 444
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 1 (exp.f64 a))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 b (*.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (*.f64 b b))
(log1p.f64 (exp.f64 b))
(/.f64 a (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) (+.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)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
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(*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 1)
(*.f64 (cbrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))))
(*.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (sqrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))) (sqrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (neg.f64 a) (/.f64 1 (+.f64 (neg.f64 (exp.f64 b)) -1)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) a)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (/.f64 a (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 b)))) (/.f64 a (sqrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 a a)) 1) (/.f64 (cbrt.f64 a) (+.f64 1 (exp.f64 b))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (sqrt.f64 (+.f64 1 (exp.f64 b)))) (/.f64 (cbrt.f64 a) (sqrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (+.f64 1 (exp.f64 b))))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (/.f64 a (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (/.f64 a (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))
(pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))) 2)
(pow.f64 (/.f64 (+.f64 1 (exp.f64 b)) a) -1)
(neg.f64 (/.f64 a (+.f64 (neg.f64 (exp.f64 b)) -1)))
(sqrt.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2))
(log.f64 (exp.f64 (/.f64 a (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 1 (exp.f64 b))))))
(cbrt.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (/.f64 a (+.f64 1 (exp.f64 b)))))
(exp.f64 (-.f64 (log.f64 a) (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (-.f64 (log.f64 a) (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (/.f64 a (+.f64 1 (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 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.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)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.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 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (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 (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 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) (/.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2) (-.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(*.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) 1)
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(*.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b))))) (+.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (pow.f64 (log1p.f64 (exp.f64 b)) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (/.f64 (log1p.f64 (exp.f64 b)) (/.f64 (+.f64 1 (exp.f64 b)) a)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2)) (-.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (pow.f64 (log1p.f64 (exp.f64 b)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(/.f64 (-.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2) (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(fma.f64 a (/.f64 1 (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(fma.f64 1 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(fma.f64 1 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))) (log1p.f64 (exp.f64 b)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(fma.f64 (sqrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))) (sqrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))) (log1p.f64 (exp.f64 b)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))

simplify166.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1230×fma-def
814×associate-*r*
588×distribute-rgt-in
542×distribute-lft-in
492×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097618704
1244917964
Stop Event
1×node limit
Counts
624 → 627
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))))
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 1/2 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)))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 2)
(+.f64 (*.f64 1/2 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 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
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b
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2
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(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)
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
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(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 (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 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) (/.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2) (-.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(*.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) 1)
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(*.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b))))) (+.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (pow.f64 (log1p.f64 (exp.f64 b)) 3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (/.f64 (log1p.f64 (exp.f64 b)) (/.f64 (+.f64 1 (exp.f64 b)) a)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2)) (-.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (pow.f64 (log1p.f64 (exp.f64 b)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(/.f64 (-.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2) (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(fma.f64 a (/.f64 1 (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(fma.f64 1 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(fma.f64 1 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))) (log1p.f64 (exp.f64 b)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(fma.f64 (sqrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))) (sqrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))) (log1p.f64 (exp.f64 b)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (-.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))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 a (*.f64 (pow.f64 a 3) 1/6))))
(+.f64 (fma.f64 1/2 (*.f64 a a) 2) (fma.f64 (pow.f64 a 3) 1/6 a))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a))))
(fma.f64 1/2 b (fma.f64 -1/4 (*.f64 b a) (*.f64 (*.f64 a a) 0)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 1/2 b (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 (*.f64 a a) 0)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 (*.f64 a a) 1/8))
(fma.f64 1/2 a (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 (*.f64 a a) 1/8)))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 (*.f64 a a) 1/8 (*.f64 -1/192 (pow.f64 a 4))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 (*.f64 a a) 1/8))
(fma.f64 1/2 a (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 (*.f64 a a) 1/8)))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 (*.f64 a a) 1/8 (*.f64 -1/192 (pow.f64 a 4))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (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)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (*.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 2 (*.f64 b (fma.f64 1/2 b 1)))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (fma.f64 1/6 (pow.f64 b 3) 2) (*.f64 b (fma.f64 1/2 b 1)))
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (+.f64 2 (*.f64 b (fma.f64 1/2 b 1))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
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(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))) 1))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(fma.f64 a (/.f64 1 (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(fma.f64 1 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(fma.f64 1 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))) (log1p.f64 (exp.f64 b)))
(fma.f64 (cbrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 2)) (log1p.f64 (exp.f64 b)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(fma.f64 (sqrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))) (sqrt.f64 (/.f64 a (+.f64 1 (exp.f64 b)))) (log1p.f64 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log1p.f64 (exp.f64 b)))

eval247.0ms (1.6%)

Compiler

Compiled 13287 to 7847 computations (40.9% saved)

prune124.0ms (0.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New69910709
Fresh415
Picked415
Done101
Total70812720
Accuracy
99.0%
Counts
720 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.5%
(/.f64 b (+.f64 1 (exp.f64 a)))
48.9%
(+.f64 (*.f64 1/2 b) (log.f64 2))
▶47.7%
(+.f64 (*.f64 1/2 a) (log.f64 2))
▶97.7%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) b)))
96.2%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
49.7%
(log1p.f64 (exp.f64 b))
✓50.0%
(log1p.f64 (exp.f64 a))
48.6%
(log.f64 (+.f64 b 2))
▶48.9%
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
▶47.9%
(log.f64 2)
67.0%
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
49.7%
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
▶52.5%
(/.f64 b (+.f64 1 (exp.f64 a)))
48.9%
(+.f64 (*.f64 1/2 b) (log.f64 2))
▶47.7%
(+.f64 (*.f64 1/2 a) (log.f64 2))
▶97.7%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) b)))
96.2%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
49.7%
(log1p.f64 (exp.f64 b))
✓50.0%
(log1p.f64 (exp.f64 a))
48.6%
(log.f64 (+.f64 b 2))
▶48.9%
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
▶47.9%
(log.f64 2)
67.0%
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
49.7%
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
Compiler

Compiled 410 to 320 computations (22% saved)

localize115.0ms (0.8%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
✓100.0%
(fma.f64 1/2 (*.f64 b b) b)
✓100.0%
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
100.0%
(/.f64 b (+.f64 1 (exp.f64 a)))
100.0%
(+.f64 1 (exp.f64 a))
✓100.0%
(+.f64 (*.f64 1/2 a) (log.f64 2))
100.0%
(+.f64 1 (exp.f64 a))
✓100.0%
(/.f64 (+.f64 1 (exp.f64 a)) b)
✓100.0%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) b)))
✓99.7%
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) b))
Compiler

Compiled 102 to 56 computations (45.1% saved)

series7.0ms (0%)

Counts
6 → 79
Calls

27 calls:

TimeVariablePointExpression
3.0ms
a
@0
(+.f64 (*.f64 1/2 a) (log.f64 2))
1.0ms
b
@0
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
0.0ms
a
@-inf
(/.f64 (+.f64 1 (exp.f64 a)) b)
0.0ms
a
@inf
(/.f64 (+.f64 1 (exp.f64 a)) b)
0.0ms
b
@0
(/.f64 (+.f64 1 (exp.f64 a)) b)

rewrite117.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1440×fma-def
818×expm1-udef
814×log1p-udef
480×add-sqr-sqrt
466×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022130
1471118
26351118
Stop Event
1×node limit
Counts
6 → 223
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) b))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(/.f64 (+.f64 1 (exp.f64 a)) b)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)
(*.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 -1 (/.f64 1 (/.f64 (+.f64 -1 (neg.f64 (exp.f64 a))) b)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 b) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 b b)) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (cbrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (sqrt.f64 b) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (sqrt.f64 b) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1) b)
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (cbrt.f64 (*.f64 b b))) (cbrt.f64 b))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (sqrt.f64 b)) (sqrt.f64 b))
(*.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(*.f64 (/.f64 b (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))) (neg.f64 b))
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1)
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2))
(log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3))
(cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(exp.f64 (log.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (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 1 (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(*.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3)) (/.f64 1 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3))))
(/.f64 1 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3)) (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3)) (+.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 1 (exp.f64 a)) b)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3))) (neg.f64 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1 (log1p.f64 (exp.f64 a)))
(fma.f64 (log1p.f64 (exp.f64 a)) 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 -1 (/.f64 1 (/.f64 (+.f64 -1 (neg.f64 (exp.f64 a))) b)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 b) -1) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -1) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) -1) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 b b)) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (cbrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (sqrt.f64 b) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1) b (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (cbrt.f64 (*.f64 b b))) (cbrt.f64 b) (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (sqrt.f64 b)) (sqrt.f64 b) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))) (neg.f64 b) (log1p.f64 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) 1)
(*.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) b))
(*.f64 (+.f64 1 (exp.f64 a)) (/.f64 1 b))
(*.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 1 b)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (/.f64 1 b)))
(*.f64 (+.f64 -1 (neg.f64 (exp.f64 a))) (/.f64 1 (neg.f64 b)))
(*.f64 (/.f64 1 b) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 b b))) (/.f64 (+.f64 1 (exp.f64 a)) (cbrt.f64 b)))
(*.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (+.f64 1 (exp.f64 a)) (sqrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (*.f64 b b))) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 b)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) b))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 (*.f64 b b))) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b)))
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2)
(neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) (neg.f64 b)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/2 (log.f64 2)))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 a a) 1/4) (-.f64 (*.f64 a 1/2) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 a 1/2) (log.f64 2))))
(*.f64 1 (fma.f64 a 1/2 (log.f64 2)))
(*.f64 (fma.f64 a 1/2 (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 a 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 a 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 a 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 a 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 a 1/2 (log.f64 2))))
(*.f64 (fma.f64 (pow.f64 a 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 a 1/2)) (*.f64 (*.f64 a a) 1/4))))
(*.f64 (-.f64 (*.f64 (*.f64 a a) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 a 1/2) (log.f64 2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 a 1/2)) (*.f64 (*.f64 a a) 1/4)) (fma.f64 (pow.f64 a 3) 1/8 (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a 1/2) (log.f64 2)) (-.f64 (*.f64 (*.f64 a a) 1/4) (pow.f64 (log.f64 2) 2))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 a 1/2)) (*.f64 (*.f64 a a) 1/4)))
(/.f64 (fma.f64 (pow.f64 a 3) 1/8 (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 a a) 1/4) (*.f64 a (*.f64 1/2 (log.f64 2))))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 a 1/2) (log.f64 2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a 3) 1/8 (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 a 1/2)) (*.f64 (*.f64 a a) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 a 1/2) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a a) 1/4)) (-.f64 (log.f64 2) (*.f64 a 1/2)))
(pow.f64 (fma.f64 a 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 a 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 a 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 a 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 a 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 a 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 a 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 a 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 1/2 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 a 1/2 (log.f64 2))))
(fma.f64 1 (*.f64 a 1/2) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 a 1/2))
(fma.f64 a 1/2 (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 (*.f64 a 1/2) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 a 1/2))
(fma.f64 (cbrt.f64 (*.f64 a 1/2)) (pow.f64 (cbrt.f64 (*.f64 a 1/2)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 1/2)) 2) (cbrt.f64 (*.f64 a 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 1/2) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 a 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 a 1/2))
(fma.f64 (sqrt.f64 (*.f64 a 1/2)) (sqrt.f64 (*.f64 a 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 a 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 a)) (sqrt.f64 a) (log.f64 2))
(+.f64 0 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) (log.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(-.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 8 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))) (log.f64 (fma.f64 (fma.f64 1/2 (*.f64 b b) b) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2) 4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))) 1)
(*.f64 1 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(*.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 1)
(*.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 2) (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 1))
(log1p.f64 (-.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 1))
(+.f64 b (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 1/2 (*.f64 b b)) b)
(+.f64 (*.f64 (*.f64 1/2 (*.f64 b b)) 1) b)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b))) 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 1/2 (*.f64 b b)) 3) (pow.f64 b 3)) (fma.f64 (*.f64 1/2 (*.f64 b b)) (*.f64 1/2 (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (*.f64 1/2 (*.f64 b b)) b))))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (*.f64 b b)) (*.f64 1/2 (*.f64 b b))) (*.f64 b b)) (-.f64 (*.f64 1/2 (*.f64 b b)) b))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))

simplify126.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
590×cancel-sign-sub-inv
556×fma-def
530×log-prod
488×distribute-lft-neg-in
468×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05779052
114038764
247918620
Stop Event
1×node limit
Counts
302 → 355
Calls
Call 1
Inputs
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(/.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 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 2 b)
(+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b)))
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(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) b)) (*.f64 2 (/.f64 1 b)))))
(log.f64 2)
(*.f64 1/2 a)
(*.f64 1/2 a)
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/12 (pow.f64 b 3)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b)))))) (*.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b)))))) (*.f64 16/3 (/.f64 1 (pow.f64 b 3))))
b
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
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(*.f64 1/2 (pow.f64 b 2))
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(*.f64 1/2 (pow.f64 b 2))
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(*.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
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(*.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (cbrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
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(*.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (cbrt.f64 (*.f64 b b))) (cbrt.f64 b))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (sqrt.f64 b)) (sqrt.f64 b))
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(*.f64 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))) (neg.f64 b))
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(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2))
(log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3))
(cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(exp.f64 (log.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (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 1 (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
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(*.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)
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(/.f64 1 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -2))))
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(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3) 1/3)
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(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))
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(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 1))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (*.f64 b b))) (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 b)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) b))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 (*.f64 b b))) (/.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (cbrt.f64 b)))
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1)
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)) 2)
(neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) (neg.f64 b)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/2 (log.f64 2)))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 a a) 1/4) (-.f64 (*.f64 a 1/2) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 a 1/2) (log.f64 2))))
(*.f64 1 (fma.f64 a 1/2 (log.f64 2)))
(*.f64 (fma.f64 a 1/2 (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 a 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 a 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 a 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 a 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 a 1/2 (log.f64 2))))
(*.f64 (fma.f64 (pow.f64 a 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 a 1/2)) (*.f64 (*.f64 a a) 1/4))))
(*.f64 (-.f64 (*.f64 (*.f64 a a) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 a 1/2) (log.f64 2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 a 1/2)) (*.f64 (*.f64 a a) 1/4)) (fma.f64 (pow.f64 a 3) 1/8 (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a 1/2) (log.f64 2)) (-.f64 (*.f64 (*.f64 a a) 1/4) (pow.f64 (log.f64 2) 2))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 a 1/2)) (*.f64 (*.f64 a a) 1/4)))
(/.f64 (fma.f64 (pow.f64 a 3) 1/8 (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 a a) 1/4) (*.f64 a (*.f64 1/2 (log.f64 2))))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 a 1/2) (log.f64 2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a 3) 1/8 (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 a 1/2)) (*.f64 (*.f64 a a) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a a) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 a 1/2) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a a) 1/4)) (-.f64 (log.f64 2) (*.f64 a 1/2)))
(pow.f64 (fma.f64 a 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 a 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 a 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 a 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 a 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 a 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 a 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 a 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 1/2 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 a 1/2 (log.f64 2))))
(fma.f64 1 (*.f64 a 1/2) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 a 1/2))
(fma.f64 a 1/2 (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 (*.f64 a 1/2) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 a 1/2))
(fma.f64 (cbrt.f64 (*.f64 a 1/2)) (pow.f64 (cbrt.f64 (*.f64 a 1/2)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 1/2)) 2) (cbrt.f64 (*.f64 a 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 1/2) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 a 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 a 1/2))
(fma.f64 (sqrt.f64 (*.f64 a 1/2)) (sqrt.f64 (*.f64 a 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 a 1/2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 a)) (sqrt.f64 a) (log.f64 2))
(+.f64 0 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) (log.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(-.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 8 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))) (log.f64 (fma.f64 (fma.f64 1/2 (*.f64 b b) b) (-.f64 (fma.f64 1/2 (*.f64 b b) b) 2) 4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))) 1)
(*.f64 1 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(*.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 1)
(*.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 2) (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 1))
(log1p.f64 (-.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 1))
(+.f64 b (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 1/2 (*.f64 b b)) b)
(+.f64 (*.f64 (*.f64 1/2 (*.f64 b b)) 1) b)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b))) 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 1/2 (*.f64 b b)) 3) (pow.f64 b 3)) (fma.f64 (*.f64 1/2 (*.f64 b b)) (*.f64 1/2 (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (*.f64 1/2 (*.f64 b b)) b))))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (*.f64 b b)) (*.f64 1/2 (*.f64 b b))) (*.f64 b b)) (-.f64 (*.f64 1/2 (*.f64 b b)) b))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
Outputs
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 1/2 (*.f64 -1/4 a)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a))))
(fma.f64 1/2 b (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))))
(fma.f64 1/2 b (fma.f64 b (*.f64 -1/4 a) 0))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 1/2 b (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(fma.f64 1/2 b (-.f64 (*.f64 b (*.f64 -1/4 a)) (*.f64 (pow.f64 a 3) (*.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 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 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 1/2 b (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 1/2 b (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (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 (fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 1/2 b (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))) (*.f64 (pow.f64 a 3) (*.f64 b -1/48)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
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(/.f64 2 b)
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(log.f64 2)
(*.f64 1/2 a)
(*.f64 1/2 a)
(log.f64 2)
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(fma.f64 1/2 b (log.f64 2))
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b
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(*.f64 1/2 (*.f64 b b))
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(/.f64 b (+.f64 1 (exp.f64 a)))
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(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
(/.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -3))
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(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 b (+.f64 1 (exp.f64 a)))
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(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (log.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)) -1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1))
(/.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 1)
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(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(log.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 2)
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(log.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(log.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 3))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(log.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(log.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(exp.f64 (log.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(log.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 1))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))
(log.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(log1p.f64 (-.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 1))
(log1p.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1))
(log1p.f64 (+.f64 -1 (+.f64 (fma.f64 1/2 (*.f64 b b) b) 2)))
(+.f64 b (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(+.f64 (*.f64 1/2 (*.f64 b b)) b)
(fma.f64 1/2 (*.f64 b b) b)
(+.f64 (*.f64 (*.f64 1/2 (*.f64 b b)) 1) b)
(fma.f64 1/2 (*.f64 b b) b)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b))) 1)
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 1 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 b b)) 3) (pow.f64 b 3)) (fma.f64 (*.f64 1/2 (*.f64 b b)) (*.f64 1/2 (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (*.f64 1/2 (*.f64 b b)) b))))
(/.f64 (+.f64 (pow.f64 b 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3))) (+.f64 (*.f64 1/4 (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 1/2 (pow.f64 b 3)))))
(/.f64 (fma.f64 1/8 (pow.f64 (*.f64 b b) 3) (pow.f64 b 3)) (fma.f64 1/4 (pow.f64 b 4) (fma.f64 b b (*.f64 -1/2 (pow.f64 b 3)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3)) (fma.f64 1/4 (pow.f64 b 4) (fma.f64 b b (*.f64 -1/2 (pow.f64 b 3)))))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (*.f64 b b)) (*.f64 1/2 (*.f64 b b))) (*.f64 b b)) (-.f64 (*.f64 1/2 (*.f64 b b)) b))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 b b)) (-.f64 (*.f64 1/2 (*.f64 b b)) b))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 b b)) (-.f64 (*.f64 1/2 (*.f64 b b)) b))
(/.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(fma.f64 1/2 (*.f64 b b) b)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(fma.f64 1/2 (*.f64 b b) b)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(fma.f64 1/2 (*.f64 b b) b)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(fma.f64 1/2 (*.f64 b b) b)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(fma.f64 1/2 (*.f64 b b) b)
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b))))
(fma.f64 1/2 (*.f64 b b) b)
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(fma.f64 1/2 (*.f64 b b) b)
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)) 1))
(fma.f64 1/2 (*.f64 b b) b)
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)

eval205.0ms (1.4%)

Compiler

Compiled 9967 to 5873 computations (41.1% saved)

prune98.0ms (0.6%)

Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New6148622
Fresh156
Picked235
Done011
Total61717634
Accuracy
99.0%
Counts
634 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.2%
(/.f64 b (+.f64 2 a))
✓52.5%
(/.f64 b (+.f64 1 (exp.f64 a)))
▶12.1%
(/.f64 b 2)
48.9%
(+.f64 (*.f64 1/2 b) (log.f64 2))
✓47.7%
(+.f64 (*.f64 1/2 a) (log.f64 2))
57.5%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 2 b)))
55.9%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) 1)))
51.9%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (log.f64 (exp.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
▶96.2%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
5.5%
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
▶49.7%
(log1p.f64 (exp.f64 b))
✓50.0%
(log1p.f64 (exp.f64 a))
▶48.6%
(log.f64 (+.f64 b 2))
48.9%
(log.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 b b)) b)))
✓47.9%
(log.f64 2)
▶67.0%
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
49.7%
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
5.2%
(/.f64 b (+.f64 2 a))
✓52.5%
(/.f64 b (+.f64 1 (exp.f64 a)))
▶12.1%
(/.f64 b 2)
48.9%
(+.f64 (*.f64 1/2 b) (log.f64 2))
✓47.7%
(+.f64 (*.f64 1/2 a) (log.f64 2))
57.5%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 2 b)))
55.9%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) 1)))
51.9%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (log.f64 (exp.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
▶96.2%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
5.5%
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
▶49.7%
(log1p.f64 (exp.f64 b))
✓50.0%
(log1p.f64 (exp.f64 a))
▶48.6%
(log.f64 (+.f64 b 2))
48.9%
(log.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 b b)) b)))
✓47.9%
(log.f64 2)
▶67.0%
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
49.7%
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
Compiler

Compiled 582 to 454 computations (22% saved)

localize127.0ms (0.8%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 1 (exp.f64 a))
✓100.0%
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
✓99.9%
(log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
✓98.1%
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
98.8%
(log1p.f64 (exp.f64 b))
✓100.0%
(log.f64 (+.f64 b 2))
100.0%
(log1p.f64 (exp.f64 a))
✓100.0%
(+.f64 (exp.f64 a) 1)
✓100.0%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
✓100.0%
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
Compiler

Compiled 119 to 58 computations (51.3% saved)

series41.0ms (0.3%)

Counts
7 → 144
Calls

36 calls:

TimeVariablePointExpression
19.0ms
a
@-inf
(log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
15.0ms
a
@inf
(log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms
a
@0
(log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms
b
@0
(log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
1.0ms
b
@inf
(log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))

rewrite129.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1564×log-prod
1352×fma-def
608×expm1-udef
608×log1p-udef
482×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021167
1432167
25054167
Stop Event
1×node limit
Counts
7 → 371
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (exp.f64 a) 1)
(log.f64 (+.f64 b 2))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
Outputs
(+.f64 0 (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
(-.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(*.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))
(*.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)
(*.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (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 (neg.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)
(*.f64 (/.f64 1 (cbrt.f64 (pow.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) (cbrt.f64 (pow.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) (cbrt.f64 (pow.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))) (fma.f64 (exp.f64 a) (expm1.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 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(*.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a))
(/.f64 b (+.f64 (exp.f64 a) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) b))
(/.f64 1 (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))
(/.f64 (sqrt.f64 b) (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)))
(/.f64 (neg.f64 b) (neg.f64 (+.f64 (exp.f64 a) 1)))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1) (fma.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1))))
(/.f64 (fma.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) -1) (+.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1))
(/.f64 (/.f64 b 1) (+.f64 (exp.f64 a) 1))
(/.f64 (/.f64 b (cbrt.f64 (pow.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 (neg.f64 (+.f64 (exp.f64 a) 1))))
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))
(log.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(fma.f64 1 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) -1)
(-.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 1 (log1p.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(*.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(*.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 2)))
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(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 1))
(log1p.f64 (-.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.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 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(*.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(*.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(*.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))
(*.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 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 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(*.f64 (-.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 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))))
(/.f64 1 (/.f64 (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 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 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 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (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 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (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 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 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 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (neg.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(/.f64 (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)))))
(pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 2))) (cbrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) 1)))
(log.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1 (log1p.f64 (exp.f64 a)))
(fma.f64 (log1p.f64 (exp.f64 a)) 1 (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.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))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))

simplify226.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1100×fma-neg
810×fma-def
592×log-prod
466×associate-*r*
456×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064522135
1159821315
2632821299
Stop Event
1×node limit
Counts
515 → 416
Calls
Call 1
Inputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/24 (pow.f64 b 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (pow.f64 b 2)))))
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(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) 1))
(log1p.f64 (-.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.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 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(*.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(*.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(*.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))
(*.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 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 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(*.f64 (-.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 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))))
(/.f64 1 (/.f64 (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 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(/.f64 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 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (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 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (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 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 a)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 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 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (neg.f64 (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(/.f64 (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)))))
(pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 2))) (cbrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) 1)))
(log.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1 (log1p.f64 (exp.f64 a)))
(fma.f64 (log1p.f64 (exp.f64 a)) 1 (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.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))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
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))))
(fma.f64 b 1/2 (fma.f64 b (*.f64 a -1/4) (*.f64 a (*.f64 a 0))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 b 1/2 (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(fma.f64 b 1/2 (-.f64 (fma.f64 b (*.f64 a -1/4) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (-.f64 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
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(fma.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.f64 b) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (log1p.f64 (exp.f64 a)))
(fma.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))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 1 (-.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 2))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))
(fma.f64 (-.f64 1 (exp.f64 a)) (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))
(fma.f64 (expm1.f64 a) (/.f64 b (expm1.f64 (+.f64 a a))) (log1p.f64 (exp.f64 a)))

eval184.0ms (1.2%)

Compiler

Compiled 11054 to 6563 computations (40.6% saved)

prune95.0ms (0.6%)

Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New5354539
Fresh088
Picked235
Done044
Total53719556
Accuracy
99.0%
Counts
556 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.2%
(/.f64 b (+.f64 2 a))
✓52.5%
(/.f64 b (+.f64 1 (exp.f64 a)))
✓12.1%
(/.f64 b 2)
48.9%
(+.f64 (*.f64 1/2 b) (log.f64 2))
✓47.7%
(+.f64 (*.f64 1/2 a) (log.f64 2))
57.5%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 2 b)))
55.9%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) 1)))
51.9%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (log.f64 (exp.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
57.3%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
5.5%
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
48.6%
(log1p.f64 (+.f64 b 1))
✓49.7%
(log1p.f64 (exp.f64 b))
✓50.0%
(log1p.f64 (exp.f64 a))
✓48.6%
(log.f64 (+.f64 b 2))
48.9%
(log.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 b b)) b)))
✓47.9%
(log.f64 2)
20.3%
(exp.f64 (+.f64 (log.f64 b) (-.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a))) b) (log1p.f64 (exp.f64 a)))))
48.6%
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
49.7%
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
Compiler

Compiled 453 to 294 computations (35.1% saved)

regimes59.0ms (0.4%)

Counts
33 → 1
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 b 2))
(log1p.f64 (+.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 (*.f64 1/2 (*.f64 b b)) 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 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 2 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)))
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(log.f64 (+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(exp.f64 (log.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (log.f64 (exp.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (exp.f64 a)) b))) 1)))
(exp.f64 (+.f64 (log.f64 b) (-.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a))) b) (log1p.f64 (exp.f64 a)))))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Calls

6 calls:

19.0ms
a
14.0ms
b
6.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
97.8%1a
97.8%1b
97.8%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.8%1(+.f64 (exp.f64 a) (exp.f64 b))
97.8%1(exp.f64 a)
97.8%1(exp.f64 b)
Compiler

Compiled 305 to 176 computations (42.3% saved)

regimes38.0ms (0.3%)

Counts
20 → 1
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 b 2))
(log1p.f64 (+.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 (*.f64 1/2 (*.f64 b b)) 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 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 2 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)))
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Calls

6 calls:

10.0ms
a
9.0ms
b
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
97.7%1a
97.7%1b
97.7%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
97.7%1(+.f64 (exp.f64 a) (exp.f64 b))
97.7%1(exp.f64 a)
97.7%1(exp.f64 b)
Compiler

Compiled 153 to 101 computations (34% saved)

regimes85.0ms (0.6%)

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

40.0ms
b
18.0ms
a
7.0ms
(exp.f64 b)
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.4%2a
75.5%5b
98.4%2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.4%2(+.f64 (exp.f64 a) (exp.f64 b))
98.4%2(exp.f64 a)
62.1%3(exp.f64 b)
Compiler

Compiled 139 to 91 computations (34.5% saved)

regimes25.0ms (0.2%)

Counts
17 → 2
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 b 2))
(log1p.f64 (+.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 (*.f64 1/2 (*.f64 b b)) 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 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 2 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)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 2 b)))
Calls

2 calls:

17.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.8%2a
97.8%2(exp.f64 a)
Compiler

Compiled 111 to 73 computations (34.2% saved)

regimes23.0ms (0.2%)

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

2 calls:

16.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.5%2a
97.5%2(exp.f64 a)
Compiler

Compiled 89 to 61 computations (31.5% saved)

regimes19.0ms (0.1%)

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

2 calls:

13.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
97.1%2a
97.1%2(exp.f64 a)
Compiler

Compiled 65 to 47 computations (27.7% saved)

regimes18.0ms (0.1%)

Counts
10 → 2
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 b 2))
(log1p.f64 (+.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 (*.f64 1/2 (*.f64 b b)) b)))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 b b)) b)))
Calls

2 calls:

12.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
96.7%2a
96.7%2(exp.f64 a)
Compiler

Compiled 62 to 46 computations (25.8% saved)

regimes16.0ms (0.1%)

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

2 calls:

10.0ms
a
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
96.5%2(exp.f64 a)
96.5%2a
Compiler

Compiled 52 to 39 computations (25% saved)

regimes18.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 b 2))
(log1p.f64 (+.f64 b 1))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
Outputs
(/.f64 b 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
Calls

2 calls:

10.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
48.9%1b
56.2%2a
Compiler

Compiled 45 to 34 computations (24.4% saved)

regimes12.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 b 2))
(log1p.f64 (+.f64 b 1))
(+.f64 (*.f64 1/2 a) (log.f64 2))
Outputs
(/.f64 b 2)
(log1p.f64 (+.f64 b 1))
Calls

1 calls:

10.0ms
a
Results
AccuracySegmentsBranch
56.1%2a
Compiler

Compiled 36 to 27 computations (25% saved)

regimes9.0ms (0.1%)

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

1 calls:

8.0ms
a
Results
AccuracySegmentsBranch
56.1%2a
Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes9.0ms (0.1%)

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

1 calls:

8.0ms
a
Results
AccuracySegmentsBranch
55.5%2a
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -4.7b remaining (-8.4%)

Threshold costs -4.7b (-8.4%)

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

2 calls:

3.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
12.1%1b
12.1%1a
Compiler

Compiled 23 to 16 computations (30.4% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.6660685916112854e-111
0.009180289381241881
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
4.6660685916112854e-111
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
4.6660685916112854e-111
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
4.6660685916112854e-111
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch35.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
-20138.893409842814
-254.04662844854542
Results
15.0ms61×body512valid
11.0ms21×body1024valid
4.0ms5×body2048valid
3.0ms25×body256valid
Compiler

Compiled 167 to 129 computations (22.8% saved)

bsearch34.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
-20138.893409842814
-254.04662844854542
Results
14.0ms29×body1024valid
12.0ms50×body512valid
4.0ms31×body256valid
1.0ms2×body2048valid
Compiler

Compiled 139 to 115 computations (17.3% saved)

bsearch35.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
-20138.893409842814
-254.04662844854542
Results
16.0ms31×body1024valid
13.0ms50×body512valid
4.0ms30×body256valid
1.0ms1×body2048valid
Compiler

Compiled 118 to 101 computations (14.4% saved)

bsearch37.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
-20138.893409842814
-254.04662844854542
Results
18.0ms37×body1024valid
13.0ms51×body512valid
5.0ms23×body256valid
1.0ms1×body2048valid
Compiler

Compiled 104 to 87 computations (16.3% saved)

bsearch37.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
-20138.893409842814
-254.04662844854542
Results
18.0ms36×body1024valid
13.0ms52×body512valid
3.0ms21×body256valid
2.0ms3×body2048valid
Compiler

Compiled 104 to 87 computations (16.3% saved)

bsearch34.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
-20138.893409842814
-254.04662844854542
Results
14.0ms51×body512valid
14.0ms29×body1024valid
4.0ms31×body256valid
1.0ms1×body2048valid
Compiler

Compiled 90 to 80 computations (11.1% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
20×+-commutative
4×*-commutative
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055447
168447
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 3384606560206073/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 2 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))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -260) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 b b)) b))))
(if (<=.f64 a -260) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -260) (/.f64 b 2) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -260) (/.f64 b 2) (log1p.f64 (+.f64 b 1)))
(if (<=.f64 a -260) (/.f64 b 2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -260) (/.f64 b 2) (log.f64 2))
(/.f64 b 2)
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 3384606560206073/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 3384606560206073/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 2 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 1 (/.f64 2 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 (exp.f64 a) 1)) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(if (<=.f64 a -260) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 b b)) b))))
(if (<=.f64 a -260) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(if (<=.f64 a -260) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -260) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -260) (/.f64 b 2) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -260) (/.f64 b 2) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -260) (/.f64 b 2) (log1p.f64 (+.f64 b 1)))
(if (<=.f64 a -260) (/.f64 b 2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -260) (/.f64 b 2) (log.f64 2))
(/.f64 b 2)
Compiler

Compiled 190 to 137 computations (27.9% saved)

soundness1.6s (10.9%)

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
097618704
1244917964
021167
1432167
25054167
064522135
1159821315
2632821299
097618704
1244917964
022130
1471118
26351118
01972874
14872502
216162316
371442316
024265
1534253
27789253
097618704
1244917964
0934
117734
2226234
01972874
14872502
216162316
371442316
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 360 to 204 computations (43.3% saved)

end0.0ms (0%)

preprocess126.0ms (0.8%)

Compiler

Compiled 386 to 242 computations (37.3% saved)

Profiling

Loading profile data...