symmetry log of sum of exp

Time bar (total: 13.8s)

analyze0.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample9.7s (70.5%)

Results
7.5s7913×body8192exit
1.1s1986×body1024valid
679.0ms5117×body256valid
266.0ms977×body512valid
117.0ms176×body2048valid
Bogosity

preprocess94.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
019103
130103
240103
354103
490103
5164103
6346103
7824103
82270103
95766103
107970103
Stop Event
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
57.6%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
57.6%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize67.0ms (0.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
57.6%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 20 to 7 computations (65% saved)

series78.0ms (0.6%)

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)))
15.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite71.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify94.0ms (0.7%)

Algorithm
egg-herbie
Rules
1704×fma-def
856×unswap-sqr
748×log-prod
740×fma-neg
606×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02032878
15042510
216452328
373702328
Stop Event
node limit
Counts
72 → 118
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (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 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (+.f64 (*.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)))))) (+.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 a (+.f64 1 (exp.f64 b))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (+.f64 (exp.f64 b) (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 1 (+.f64 a (+.f64 (exp.f64 b) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (*.f64 1/2 (pow.f64 a 2))))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.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 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.f64 3 b))) (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 (exp.f64 (+.f64 a a)) (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 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.f64 3 b))) (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 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.f64 3 b))) (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 (exp.f64 (+.f64 a a)) (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 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.f64 3 b))) (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 (exp.f64 (+.f64 a a)) (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 (exp.f64 (+.f64 a a)) (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))

eval36.0ms (0.3%)

Compiler

Compiled 2092 to 1074 computations (48.7% saved)

prune27.0ms (0.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1117118
Fresh000
Picked101
Done000
Total1127119
Accuracy
99.7%
Counts
119 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
99.7%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
99.6%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
53.4%
(log1p.f64 (exp.f64 b))
55.6%
(log1p.f64 (exp.f64 a))
57.2%
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (*.f64 b b))))))
56.9%
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
55.7%
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
99.7%
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
99.6%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
53.4%
(log1p.f64 (exp.f64 b))
55.6%
(log1p.f64 (exp.f64 a))
57.2%
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (*.f64 b b))))))
56.9%
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
Compiler

Compiled 260 to 196 computations (24.6% saved)

localize199.0ms (1.4%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (*.f64 b b)))))
100.0%
(*.f64 1/2 (*.f64 b b))
57.9%
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (*.f64 b b))))))
100.0%
(+.f64 1 (+.f64 b (exp.f64 a)))
57.9%
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
99.6%
(log1p.f64 (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))
Compiler

Compiled 122 to 49 computations (59.8% saved)

series171.0ms (1.2%)

Counts
10 → 127
Calls

45 calls:

TimeVariablePointExpression
45.0ms
a
@inf
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
18.0ms
b
@-inf
(log1p.f64 (exp.f64 b))
17.0ms
a
@-inf
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
15.0ms
a
@inf
(log1p.f64 (exp.f64 a))
15.0ms
a
@inf
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (*.f64 b b))))))

rewrite136.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
846×expm1-udef
842×log1p-udef
482×add-sqr-sqrt
474×pow1
472×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022168
1477160
26770160
Stop Event
node limit
Counts
10 → 254
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 a))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
(+.f64 1 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (*.f64 b b))))))
(*.f64 1/2 (*.f64 b b))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (*.f64 b b)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 1 (exp.f64 a)))
(*.f64 (+.f64 1 (exp.f64 a)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 a)))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 a) 2)) (cbrt.f64 (exp.f64 a)) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(-.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 b (+.f64 1 (exp.f64 a))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(*.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))
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(*.f64 (-.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2)) (/.f64 1 (-.f64 (-.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2)) (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) (-.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2)) (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 3)) (+.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2) (-.f64 (-.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2)) (-.f64 (-.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2)) (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2))) (neg.f64 (-.f64 (-.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 b) 3) (pow.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) 3)) (+.f64 (*.f64 (+.f64 1 b) (+.f64 1 b)) (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) 2) (*.f64 (+.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(/.f64 (-.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2) 1) (-.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 1))
(/.f64 (-.f64 (*.f64 (+.f64 1 b) (+.f64 1 b)) (pow.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) 2)) (-.f64 (+.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))
(pow.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)) 1)
(pow.f64 (E.f64) (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 2))) (cbrt.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))) (sqrt.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))))
(exp.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))))
(fma.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 2) (cbrt.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 1)
(fma.f64 (sqrt.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) (sqrt.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 1)

simplify169.0ms (1.2%)

Algorithm
egg-herbie
Rules
894×fma-def
738×log-prod
566×associate-+r+
564×+-commutative
548×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071211543
1178611025
2681310959
Stop Event
node limit
Counts
381 → 476
Calls
Call 1
Inputs
2
(+.f64 2 a)
(+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2))))
(+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (*.f64 1/2 (pow.f64 a 2)))))
(*.f64 1/2 b)
(+.f64 (*.f64 -1/4 (*.f64 a b)) (*.f64 1/2 b))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/8 b) (*.f64 1/8 b)))) (+.f64 (*.f64 -1/4 (*.f64 a b)) (*.f64 1/2 b)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/8 b) (*.f64 1/8 b)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1/8 b) (*.f64 1/8 b))) (+.f64 (*.f64 -1/16 b) (*.f64 1/24 b))))) (+.f64 (*.f64 -1/4 (*.f64 a b)) (*.f64 1/2 b))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 a))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/2 a)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/2 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 a))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/2 a)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/2 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 b))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 1/2 b)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 b 4)) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 1/2 b))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))))
(log.f64 (+.f64 2 b))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (/.f64 a (+.f64 2 b))))
(+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (/.f64 1 (+.f64 2 b))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (/.f64 a (+.f64 2 b)))))
(+.f64 1 (exp.f64 a))
b
b
(+.f64 2 b)
(+.f64 2 (+.f64 a b))
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 2 (+.f64 a (+.f64 b (+.f64 (*.f64 1/6 (pow.f64 a 3)) (*.f64 1/2 (pow.f64 a 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 (pow.f64 b 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (*.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 (*.f64 1/2 (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (*.f64 2 (/.f64 1 b)))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 16 (*.f64 -24 (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (*.f64 2 (/.f64 1 b))))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (*.f64 2 (/.f64 1 b))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (*.f64 2 (/.f64 1 b)))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1/6 (/.f64 (-.f64 (*.f64 24 (+.f64 1 (exp.f64 a))) 16) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (*.f64 2 (/.f64 1 b))))))
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (log.f64 (+.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))))) (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 3))) (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 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))))) (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2))))))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 2 (+.f64 a (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 a 2)) (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 2 (+.f64 a (+.f64 b (+.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 (*.f64 1/2 (pow.f64 a 2)) (*.f64 1/2 (pow.f64 b 2)))))))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 1 (exp.f64 a)))
(*.f64 (+.f64 1 (exp.f64 a)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
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(pow.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))) 1))
(log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2)))) 1)
(pow.f64 (*.f64 b (*.f64 b 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) 1/3)
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 b 4) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))
(expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))
(exp.f64 (log.f64 (*.f64 b (*.f64 b 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)))) 1)
(-.f64 (/.f64 1 (-.f64 (-.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) (/.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2) (-.f64 (-.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(*.f64 1 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)))
(*.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)) 1)
(*.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)) 2)) (cbrt.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))) (sqrt.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2)) (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2)) (/.f64 1 (-.f64 (-.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2)) (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) (-.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2)) (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 3)) (+.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2) (-.f64 (-.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2)) (-.f64 (-.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2)) (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2))) (neg.f64 (-.f64 (-.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 b) 3) (pow.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) 3)) (+.f64 (*.f64 (+.f64 1 b) (+.f64 1 b)) (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) 2) (*.f64 (+.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(/.f64 (-.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2) 1) (-.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 1))
(/.f64 (-.f64 (*.f64 (+.f64 1 b) (+.f64 1 b)) (pow.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) 2)) (-.f64 (+.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))
(pow.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)) 1)
(pow.f64 (E.f64) (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 2))) (cbrt.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))) (sqrt.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))))
(exp.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))))
(fma.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 2) (cbrt.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 1)
(fma.f64 (sqrt.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) (sqrt.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 1)
Outputs
2
(+.f64 2 a)
(+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2))))
(+.f64 2 (+.f64 a (*.f64 1/2 (*.f64 a a))))
(+.f64 2 (fma.f64 1/2 (*.f64 a a) a))
(+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 2 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (*.f64 1/2 (*.f64 a a)))))
(+.f64 (+.f64 2 a) (fma.f64 1/6 (pow.f64 a 3) (*.f64 a (*.f64 a 1/2))))
(*.f64 1/2 b)
(+.f64 (*.f64 -1/4 (*.f64 a b)) (*.f64 1/2 b))
(fma.f64 -1/4 (*.f64 a b) (*.f64 1/2 b))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/8 b) (*.f64 1/8 b)))) (+.f64 (*.f64 -1/4 (*.f64 a b)) (*.f64 1/2 b)))
(fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (fma.f64 -1/4 (*.f64 a b) (*.f64 1/2 b)))
(+.f64 (*.f64 b (+.f64 1/2 (*.f64 a -1/4))) (*.f64 a (*.f64 a 0)))
(fma.f64 b (+.f64 1/2 (*.f64 a -1/4)) (*.f64 a (*.f64 a 0)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/8 b) (*.f64 1/8 b)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1/8 b) (*.f64 1/8 b))) (+.f64 (*.f64 -1/16 b) (*.f64 1/24 b))))) (+.f64 (*.f64 -1/4 (*.f64 a b)) (*.f64 1/2 b))))
(fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 b 0) (*.f64 b -1/48))) (fma.f64 -1/4 (*.f64 a b) (*.f64 1/2 b))))
(+.f64 (*.f64 b (+.f64 1/2 (*.f64 a -1/4))) (-.f64 (*.f64 a (*.f64 a 0)) (*.f64 (pow.f64 a 3) (fma.f64 b -1/48 0))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 a))
(+.f64 (log.f64 2) (*.f64 a 1/2))
(fma.f64 a 1/2 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/2 a)))
(+.f64 (log.f64 2) (fma.f64 1/8 (*.f64 a a) (*.f64 a 1/2)))
(+.f64 (log.f64 2) (fma.f64 a 1/2 (*.f64 (*.f64 1/8 a) a)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/2 a))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 1/8 (*.f64 a a) (*.f64 a 1/2))))
(+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 (*.f64 1/8 a) a)) (fma.f64 a 1/2 (log.f64 2)))
(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 (log.f64 2) (*.f64 1/2 a))
(+.f64 (log.f64 2) (*.f64 a 1/2))
(fma.f64 a 1/2 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/2 a)))
(+.f64 (log.f64 2) (fma.f64 1/8 (*.f64 a a) (*.f64 a 1/2)))
(+.f64 (log.f64 2) (fma.f64 a 1/2 (*.f64 (*.f64 1/8 a) a)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/2 a))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 1/8 (*.f64 a a) (*.f64 a 1/2))))
(+.f64 (fma.f64 -1/192 (pow.f64 a 4) (*.f64 (*.f64 1/8 a) a)) (fma.f64 a 1/2 (log.f64 2)))
(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 (log.f64 2) (*.f64 1/2 b))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 1/2 b)))
(+.f64 (log.f64 2) (fma.f64 1/8 (*.f64 b b) (*.f64 1/2 b)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 b 4)) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 1/2 b))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 b 4) (fma.f64 1/8 (*.f64 b b) (*.f64 1/2 b))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))
(fma.f64 -1 (neg.f64 (log.f64 b)) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 (exp.f64 a) b) (log.f64 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))
(fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)) (+.f64 (/.f64 -1/2 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (log.f64 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))
(fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))
(+.f64 (+.f64 (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)) (+.f64 (/.f64 -1/2 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (log.f64 b))) (/.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 b))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))))
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(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2)) (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2) (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)) 3)) (-.f64 -1 (-.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)) 2) (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2))) (neg.f64 (-.f64 (-.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2))) (neg.f64 (-.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)) 2)) (+.f64 -1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)) 2)) (+.f64 b (+.f64 (*.f64 1/2 (*.f64 b b)) (expm1.f64 a))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 b) 3) (pow.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) 3)) (+.f64 (*.f64 (+.f64 1 b) (+.f64 1 b)) (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) 2) (*.f64 (+.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) 3)) (fma.f64 (+.f64 b 1) (+.f64 b 1) (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) 2) (*.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 1) 3) (pow.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) 3)) (fma.f64 (+.f64 b 1) (+.f64 b 1) (*.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (-.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 b 1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2) 1) (-.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2))) (neg.f64 (-.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)) 2)) (+.f64 -1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)) 2)) (+.f64 b (+.f64 (*.f64 1/2 (*.f64 b b)) (expm1.f64 a))))
(/.f64 (-.f64 (*.f64 (+.f64 1 b) (+.f64 1 b)) (pow.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) 2)) (-.f64 (+.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))
(/.f64 (-.f64 (*.f64 (+.f64 b 1) (+.f64 b 1)) (pow.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) 2)) (+.f64 1 (-.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(/.f64 (-.f64 (*.f64 (+.f64 b 1) (+.f64 b 1)) (pow.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) 2)) (+.f64 b (-.f64 1 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(pow.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)) 1)
(+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))
(pow.f64 (E.f64) (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))) 3)
(+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)) 3) 1/3)
(+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))) 2)
(+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 2))) (cbrt.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b))) 2))) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))) (sqrt.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))))
(+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 2))
(fabs.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b))))
(log.f64 (exp.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))))
(+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)))))
(+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b)) 3))
(+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))))
(+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))
(exp.f64 (log1p.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))))
(+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (+.f64 1 b))))
(+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))
(fma.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))) 1)
(+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 2) (cbrt.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 1)
(+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))
(fma.f64 (sqrt.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) (sqrt.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))) 1)
(+.f64 (+.f64 b 1) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 1/2 b) b)))

eval160.0ms (1.2%)

Compiler

Compiled 9133 to 5394 computations (40.9% saved)

prune91.0ms (0.7%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New5028510
Fresh022
Picked235
Done000
Total50413517
Accuracy
99.7%
Counts
517 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
53.5%
(+.f64 (*.f64 1/2 b) (log.f64 2))
99.7%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
53.3%
(+.f64 (log.f64 2) (*.f64 a 1/2))
99.6%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
98.4%
(log1p.f64 (+.f64 (exp.f64 a) b))
55.6%
(log1p.f64 (exp.f64 a))
53.7%
(log.f64 (+.f64 2 (+.f64 a (+.f64 (*.f64 1/2 (*.f64 a a)) b))))
53.5%
(log.f64 (+.f64 2 b))
57.2%
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (*.f64 b b))))))
56.9%
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
1.1%
(log.f64 b)
53.4%
(log.f64 2)
55.7%
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
53.5%
(+.f64 (*.f64 1/2 b) (log.f64 2))
99.7%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
53.3%
(+.f64 (log.f64 2) (*.f64 a 1/2))
99.6%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
98.4%
(log1p.f64 (+.f64 (exp.f64 a) b))
55.6%
(log1p.f64 (exp.f64 a))
53.7%
(log.f64 (+.f64 2 (+.f64 a (+.f64 (*.f64 1/2 (*.f64 a a)) b))))
53.5%
(log.f64 (+.f64 2 b))
57.2%
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (*.f64 b b))))))
56.9%
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
1.1%
(log.f64 b)
53.4%
(log.f64 2)
Compiler

Compiled 394 to 308 computations (21.8% saved)

localize110.0ms (0.8%)

Localize:

Found 7 expressions with local error:

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

Compiled 87 to 48 computations (44.8% saved)

series5.0ms (0%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
b
@0
(+.f64 (*.f64 1/2 b) (log.f64 2))
1.0ms
b
@-inf
(log1p.f64 (+.f64 (exp.f64 a) b))
0.0ms
b
@inf
(log.f64 (+.f64 2 b))
0.0ms
b
@-inf
(log.f64 (+.f64 2 b))
0.0ms
b
@0
(log.f64 (+.f64 2 b))

rewrite95.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1810×log-prod
1282×fma-def
718×expm1-udef
714×log1p-udef
504×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02056
140756
2537556
Stop Event
node limit
Counts
4 → 145
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log1p.f64 (+.f64 (exp.f64 a) b))
Outputs
(+.f64 0 (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 1)
(*.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(*.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(*.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 1 (exp.f64 a)) (cbrt.f64 b)))
(/.f64 (sqrt.f64 b) (/.f64 (+.f64 1 (exp.f64 a)) (sqrt.f64 b)))
(/.f64 (neg.f64 b) (+.f64 (neg.f64 (exp.f64 a)) -1))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(/.f64 (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 3) 1) (fma.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 1))))
(/.f64 (fma.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) -1) (+.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 1))
(/.f64 (/.f64 b 1) (+.f64 1 (exp.f64 a)))
(/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1)
(neg.f64 (/.f64 b (+.f64 (neg.f64 (exp.f64 a)) -1)))
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))
(log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))
(cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(fma.f64 1 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) -1)
(+.f64 (log.f64 (+.f64 b 2)) 0)
(+.f64 0 (log.f64 (+.f64 b 2)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 b 2))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2)))
(+.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (/.f64 1 (-.f64 2 b))))
(+.f64 (log.f64 (+.f64 8 (pow.f64 b 3))) (log.f64 (/.f64 1 (fma.f64 b (-.f64 b 2) 4))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 b 2))) (log.f64 (sqrt.f64 (+.f64 b 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2)) (log.f64 (cbrt.f64 (+.f64 b 2))))
(-.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 b 3))) (log.f64 (fma.f64 b (-.f64 b 2) 4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 b 2)))) 1)
(*.f64 1 (log.f64 (+.f64 b 2)))
(*.f64 (log.f64 (+.f64 b 2)) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) 2) (cbrt.f64 (log.f64 (+.f64 b 2))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 b 2))) (sqrt.f64 (log.f64 (+.f64 b 2))))
(pow.f64 (log.f64 (+.f64 b 2)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 b 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 b 2))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 b 2)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 b 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 b 2))))
(exp.f64 (log.f64 (log.f64 (+.f64 b 2))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 b 2))) 1))
(log1p.f64 (-.f64 (+.f64 b 2) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2)))) 1)
(-.f64 (/.f64 (*.f64 1/4 (*.f64 b b)) (fma.f64 b 1/2 (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 b 1/2 (log.f64 1/2))))
(*.f64 1 (fma.f64 b 1/2 (log.f64 2)))
(*.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2)) (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b 1/2)) (*.f64 1/4 (*.f64 b b)))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 b 1/2 (log.f64 1/2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b 1/2)) (*.f64 1/4 (*.f64 b b))) (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 b 1/2 (log.f64 1/2)) (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b 1/2)) (*.f64 1/4 (*.f64 b b))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 b (*.f64 1/2 (log.f64 2))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (fma.f64 b 1/2 (log.f64 1/2)))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b 1/2)) (*.f64 1/4 (*.f64 b b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 b 1/2 (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 b b))) (-.f64 (log.f64 2) (*.f64 b 1/2)))
(pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) b)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log.f64 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b 1/2))) 2))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 b 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))
(fma.f64 1 (*.f64 b 1/2) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 b 1/2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 (*.f64 b 1/2) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 b 1/2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 b 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 b 1/2))
(fma.f64 (cbrt.f64 (*.f64 b 1/2)) (cbrt.f64 (*.f64 1/4 (*.f64 b b))) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 b b))) (cbrt.f64 (*.f64 b 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 b 1/2))
(fma.f64 (sqrt.f64 (*.f64 b 1/2)) (sqrt.f64 (*.f64 b 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) 1/2) (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 b)) (sqrt.f64 b) (log.f64 2))
(+.f64 0 (log1p.f64 (+.f64 b (exp.f64 a))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 b (exp.f64 a)))) (cbrt.f64 (+.f64 1 (+.f64 b (exp.f64 a)))))) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 b (exp.f64 a))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 b (exp.f64 a))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 b (exp.f64 a))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 1)
(*.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))
(*.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2))
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1))

simplify96.0ms (0.7%)

Algorithm
egg-herbie
Rules
596×fma-def
376×log-prod
372×cancel-sign-sub-inv
340×distribute-lft-neg-in
338×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04575483
111355193
240315071
Stop Event
node limit
Counts
217 → 251
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 -1/4 (*.f64 a b)) (*.f64 1/2 b))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/8 b) (*.f64 1/8 b)))) (+.f64 (*.f64 -1/4 (*.f64 a b)) (*.f64 1/2 b)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/8 b) (*.f64 1/8 b)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1/8 b) (*.f64 1/8 b))) (+.f64 (*.f64 -1/16 b) (*.f64 1/24 b))))) (+.f64 (*.f64 -1/4 (*.f64 a b)) (*.f64 1/2 b))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 b))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/8 (pow.f64 b 2)) (*.f64 1/2 b)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/8 (pow.f64 b 2)) (+.f64 (*.f64 1/24 (pow.f64 b 3)) (*.f64 1/2 b))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (*.f64 2 (/.f64 1 b))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (*.f64 2 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 b))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(*.f64 1/2 b)
(+.f64 (log.f64 2) (*.f64 1/2 b))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(*.f64 1/2 b)
(+.f64 (log.f64 2) (*.f64 1/2 b))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(log.f64 (+.f64 2 b))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (/.f64 a (+.f64 2 b))))
(+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (/.f64 1 (+.f64 2 b))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (/.f64 a (+.f64 2 b)))))
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
(log.f64 (+.f64 1 (+.f64 b (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 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))))
(+.f64 0 (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))
(-.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 1)
(*.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(*.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(*.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) b))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1))
(/.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 1 (exp.f64 a)) (cbrt.f64 b)))
(/.f64 (sqrt.f64 b) (/.f64 (+.f64 1 (exp.f64 a)) (sqrt.f64 b)))
(/.f64 (neg.f64 b) (+.f64 (neg.f64 (exp.f64 a)) -1))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) b)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(/.f64 (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 3) 1) (fma.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 1))))
(/.f64 (fma.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) -1) (+.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 1))
(/.f64 (/.f64 b 1) (+.f64 1 (exp.f64 a)))
(/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1)
(neg.f64 (/.f64 b (+.f64 (neg.f64 (exp.f64 a)) -1)))
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))
(log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))
(cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(fma.f64 1 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (cbrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) -1)
(+.f64 (log.f64 (+.f64 b 2)) 0)
(+.f64 0 (log.f64 (+.f64 b 2)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 b 2))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2)))
(+.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (/.f64 1 (-.f64 2 b))))
(+.f64 (log.f64 (+.f64 8 (pow.f64 b 3))) (log.f64 (/.f64 1 (fma.f64 b (-.f64 b 2) 4))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 b 2))) (log.f64 (sqrt.f64 (+.f64 b 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2)) (log.f64 (cbrt.f64 (+.f64 b 2))))
(-.f64 (log.f64 (-.f64 4 (*.f64 b b))) (log.f64 (-.f64 2 b)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 b 3))) (log.f64 (fma.f64 b (-.f64 b 2) 4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 b 2)))) 1)
(*.f64 1 (log.f64 (+.f64 b 2)))
(*.f64 (log.f64 (+.f64 b 2)) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) 2) (cbrt.f64 (log.f64 (+.f64 b 2))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 b 2))) (sqrt.f64 (log.f64 (+.f64 b 2))))
(pow.f64 (log.f64 (+.f64 b 2)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 b 2))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 b 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 b 2))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 b 2)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 b 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 b 2))))
(exp.f64 (log.f64 (log.f64 (+.f64 b 2))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 b 2))) 1))
(log1p.f64 (-.f64 (+.f64 b 2) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2)))) 1)
(-.f64 (/.f64 (*.f64 1/4 (*.f64 b b)) (fma.f64 b 1/2 (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 b 1/2 (log.f64 1/2))))
(*.f64 1 (fma.f64 b 1/2 (log.f64 2)))
(*.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2)) (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b 1/2)) (*.f64 1/4 (*.f64 b b)))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 b 1/2 (log.f64 1/2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b 1/2)) (*.f64 1/4 (*.f64 b b))) (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 b 1/2 (log.f64 1/2)) (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b 1/2)) (*.f64 1/4 (*.f64 b b))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 b (*.f64 1/2 (log.f64 2))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (fma.f64 b 1/2 (log.f64 1/2)))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 b 1/2)) (*.f64 1/4 (*.f64 b b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 b 1/2 (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 b b))) (-.f64 (log.f64 2) (*.f64 b 1/2)))
(pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) b)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log.f64 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b 1/2))) 2))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 b 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))
(fma.f64 1 (*.f64 b 1/2) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 b 1/2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 (*.f64 b 1/2) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 b 1/2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 b 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 b 1/2))
(fma.f64 (cbrt.f64 (*.f64 b 1/2)) (cbrt.f64 (*.f64 1/4 (*.f64 b b))) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 b b))) (cbrt.f64 (*.f64 b 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 b 1/2))
(fma.f64 (sqrt.f64 (*.f64 b 1/2)) (sqrt.f64 (*.f64 b 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) 1/2) (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 b)) (sqrt.f64 b) (log.f64 2))
(+.f64 0 (log1p.f64 (+.f64 b (exp.f64 a))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 b (exp.f64 a)))) (cbrt.f64 (+.f64 1 (+.f64 b (exp.f64 a)))))) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 b (exp.f64 a))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 b (exp.f64 a))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 b (exp.f64 a))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a))))) 1)
(*.f64 1 (log1p.f64 (+.f64 b (exp.f64 a))))
(*.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2) (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 2))
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1))
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 -1/4 (*.f64 a b)) (*.f64 1/2 b))
(fma.f64 -1/4 (*.f64 b a) (*.f64 b 1/2))
(*.f64 b (+.f64 (*.f64 a -1/4) 1/2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/8 b) (*.f64 1/8 b)))) (+.f64 (*.f64 -1/4 (*.f64 a b)) (*.f64 1/2 b)))
(fma.f64 -1/4 (*.f64 b a) (*.f64 b 1/2))
(*.f64 b (+.f64 (*.f64 a -1/4) 1/2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/8 b) (*.f64 1/8 b)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1/8 b) (*.f64 1/8 b))) (+.f64 (*.f64 -1/16 b) (*.f64 1/24 b))))) (+.f64 (*.f64 -1/4 (*.f64 a b)) (*.f64 1/2 b))))
(fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 b 0) (*.f64 b -1/48))) (fma.f64 -1/4 (*.f64 b a) (*.f64 b 1/2))))
(+.f64 (*.f64 b (+.f64 (*.f64 a -1/4) 1/2)) (-.f64 (*.f64 a (*.f64 a 0)) (*.f64 (pow.f64 a 3) (fma.f64 b -1/48 0))))
(fma.f64 b (+.f64 (*.f64 a -1/4) 1/2) (*.f64 (*.f64 (pow.f64 a 3) b) 1/48))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/8 (pow.f64 b 2)) (*.f64 1/2 b)))
(+.f64 (log.f64 2) (fma.f64 -1/8 (*.f64 b b) (*.f64 b 1/2)))
(+.f64 (log.f64 2) (fma.f64 b 1/2 (*.f64 b (*.f64 b -1/8))))
(+.f64 (log.f64 2) (*.f64 b (+.f64 (*.f64 b -1/8) 1/2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/8 (pow.f64 b 2)) (+.f64 (*.f64 1/24 (pow.f64 b 3)) (*.f64 1/2 b))))
(+.f64 (log.f64 2) (fma.f64 -1/8 (*.f64 b b) (fma.f64 1/24 (pow.f64 b 3) (*.f64 b 1/2))))
(+.f64 (log.f64 2) (fma.f64 -1/8 (*.f64 b b) (fma.f64 b 1/2 (*.f64 1/24 (pow.f64 b 3)))))
(+.f64 (*.f64 (*.f64 b b) (+.f64 -1/8 (*.f64 b 1/24))) (fma.f64 b 1/2 (log.f64 2)))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b)))
(fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b))
(+.f64 (log.f64 b) (/.f64 2 b))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))
(+.f64 (+.f64 (log.f64 b) (/.f64 2 b)) (/.f64 -2 (*.f64 b b)))
(+.f64 (/.f64 2 b) (+.f64 (log.f64 b) (/.f64 -2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 8/3 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b)))
(+.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (/.f64 8/3 (pow.f64 b 3)))) (/.f64 -2 (*.f64 b b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (+.f64 (/.f64 2 b) (/.f64 -2 (*.f64 b b)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 b))))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (*.f64 2 (/.f64 1 b))))
(fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b))
(+.f64 (log.f64 b) (/.f64 2 b))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (*.f64 2 (/.f64 1 b)))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b)))
(+.f64 (+.f64 (log.f64 b) (/.f64 2 b)) (/.f64 -2 (*.f64 b b)))
(+.f64 (/.f64 2 b) (+.f64 (log.f64 b) (/.f64 -2 (*.f64 b b))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 8/3 (/.f64 1 (pow.f64 b 3)))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 8/3 (pow.f64 b 3))) (/.f64 2 (*.f64 b b)))
(+.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 2 b) (/.f64 8/3 (pow.f64 b 3)))) (/.f64 -2 (*.f64 b b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 8/3 (pow.f64 b 3)) (+.f64 (/.f64 2 b) (/.f64 -2 (*.f64 b b)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 b 1/2 (log.f64 2))
(*.f64 1/2 b)
(*.f64 b 1/2)
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 b 1/2 (log.f64 2))
(*.f64 1/2 b)
(*.f64 b 1/2)
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 b 1/2 (log.f64 2))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b 2))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 b 2)) (log.f64 (+.f64 b 2)))
(+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (/.f64 a (+.f64 2 b))))
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(log1p.f64 (+.f64 b (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 b (exp.f64 a)))) 1))
(log1p.f64 (+.f64 b (exp.f64 a)))

eval148.0ms (1.1%)

Compiler

Compiled 6522 to 4095 computations (37.2% saved)

prune73.0ms (0.5%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New3902392
Fresh055
Picked145
Done033
Total39114405
Accuracy
99.7%
Counts
405 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
55.7%
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
53.5%
(+.f64 (*.f64 1/2 b) (log.f64 2))
61.9%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
53.3%
(+.f64 (log.f64 2) (*.f64 a 1/2))
99.6%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
98.4%
(log1p.f64 (+.f64 (exp.f64 a) b))
55.6%
(log1p.f64 (exp.f64 a))
53.7%
(log.f64 (+.f64 2 (+.f64 a (+.f64 (*.f64 1/2 (*.f64 a a)) b))))
53.5%
(log.f64 (+.f64 2 b))
57.2%
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (*.f64 b b))))))
56.9%
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
1.1%
(log.f64 b)
53.4%
(log.f64 2)
52.7%
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
55.7%
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
53.5%
(+.f64 (*.f64 1/2 b) (log.f64 2))
61.9%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
53.3%
(+.f64 (log.f64 2) (*.f64 a 1/2))
99.6%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
98.4%
(log1p.f64 (+.f64 (exp.f64 a) b))
55.6%
(log1p.f64 (exp.f64 a))
53.7%
(log.f64 (+.f64 2 (+.f64 a (+.f64 (*.f64 1/2 (*.f64 a a)) b))))
53.5%
(log.f64 (+.f64 2 b))
57.2%
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (*.f64 b b))))))
56.9%
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
1.1%
(log.f64 b)
53.4%
(log.f64 2)
Compiler

Compiled 372 to 298 computations (19.9% saved)

localize136.0ms (1%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
99.1%
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))
99.1%
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
100.0%
(+.f64 a (+.f64 (*.f64 1/2 (*.f64 a a)) b))
100.0%
(*.f64 1/2 (*.f64 a a))
90.2%
(log.f64 (+.f64 2 (+.f64 a (+.f64 (*.f64 1/2 (*.f64 a a)) b))))
100.0%
(+.f64 (log.f64 2) (*.f64 a 1/2))
99.6%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Compiler

Compiled 112 to 64 computations (42.9% saved)

series37.0ms (0.3%)

Counts
7 → 104
Calls

30 calls:

TimeVariablePointExpression
8.0ms
b
@-inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
7.0ms
a
@inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
6.0ms
b
@inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
6.0ms
a
@-inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
1.0ms
a
@0
(+.f64 (log.f64 2) (*.f64 a 1/2))

rewrite108.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
886×expm1-udef
884×log1p-udef
518×add-sqr-sqrt
512×pow1
508×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024131
1523127
27028127
Stop Event
node limit
Counts
7 → 171
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 (log.f64 2) (*.f64 a 1/2))
(log.f64 (+.f64 2 (+.f64 a (+.f64 (*.f64 1/2 (*.f64 a a)) b))))
(*.f64 1/2 (*.f64 a a))
(+.f64 a (+.f64 (*.f64 1/2 (*.f64 a a)) b))
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 1)
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 2))
(log.f64 (+.f64 (+.f64 1 (exp.f64 a)) (expm1.f64 b)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/2 (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 a))) (/.f64 (*.f64 (*.f64 a a) 1/4) (+.f64 (log.f64 2) (*.f64 -1/2 a))))
(*.f64 (fma.f64 a 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 a 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 a 1/2 (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 a 1/2 (log.f64 2)) 2)))
(*.f64 (cbrt.f64 (pow.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 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a 1/2) (-.f64 (*.f64 a 1/2) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a a) 1/4)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 a))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a 1/2) (-.f64 (*.f64 a 1/2) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3)))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 a)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a a) 1/4))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a 1/2) (-.f64 (*.f64 a 1/2) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (+.f64 (*.f64 (*.f64 a a) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) a) 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a a) 1/4)) (+.f64 (log.f64 2) (*.f64 -1/2 a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3)))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a 1/2) (-.f64 (*.f64 a 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a a) 1/4))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 a))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 a 1/2) (log.f64 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 a 1/2 (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 a 1/2))
(fma.f64 1 (*.f64 a 1/2) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 a 1/2))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 a a) 1/4)) (cbrt.f64 (*.f64 a 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 a 1/2))
(fma.f64 (sqrt.f64 (*.f64 a 1/2)) (sqrt.f64 (*.f64 a 1/2)) (log.f64 2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)) 2))) (log.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) (log.f64 (sqrt.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))))
(+.f64 0 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 3) 8)) (log.f64 (+.f64 4 (*.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) (-.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 2)))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 2))) (log.f64 (-.f64 (-.f64 2 a) (fma.f64 1/2 (*.f64 a a) b))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))))) 1)
(*.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))) 1)
(*.f64 1 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) 2) (cbrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) (sqrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))))
(pow.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) 1))
(log1p.f64 (-.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 a a)))) 1)
(pow.f64 (*.f64 1/2 (*.f64 a a)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 a a))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 a a) 3) 1/8) 1/3)
(pow.f64 (*.f64 a (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 a 4) 1/4))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 a a)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a a) 3) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 a a))))
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 a a))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 a a))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 a a))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)))) 1)
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (fma.f64 1/2 (*.f64 a a) b))) (/.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 2) (-.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(*.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 1)
(*.f64 1 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)))
(*.f64 (cbrt.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))) (cbrt.f64 (pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 2)) (cbrt.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(*.f64 (sqrt.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))) (sqrt.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (*.f64 (fma.f64 1/2 (*.f64 a a) b) (-.f64 (fma.f64 1/2 (*.f64 a a) b) a)))))
(*.f64 (-.f64 (*.f64 a a) (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 2)) (/.f64 1 (-.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (fma.f64 1/2 (*.f64 a a) b) (-.f64 (fma.f64 1/2 (*.f64 a a) b) a))) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (-.f64 a (fma.f64 1/2 (*.f64 a a) b)) (-.f64 (*.f64 a a) (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 3) (pow.f64 a 3)) (fma.f64 a a (*.f64 (fma.f64 1/2 (*.f64 a a) b) (-.f64 (fma.f64 1/2 (*.f64 a a) b) a))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 2) (-.f64 (*.f64 a a) (*.f64 a (fma.f64 1/2 (*.f64 a a) b)))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 2)) (-.f64 a (fma.f64 1/2 (*.f64 a a) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a a (*.f64 (fma.f64 1/2 (*.f64 a a) b) (-.f64 (fma.f64 1/2 (*.f64 a a) b) a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 2))) (neg.f64 (-.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (*.f64 1/2 (*.f64 a a))) 3) (pow.f64 b 3)) (+.f64 (*.f64 (+.f64 a (*.f64 1/2 (*.f64 a a))) (+.f64 a (*.f64 1/2 (*.f64 a a)))) (-.f64 (*.f64 b b) (*.f64 (+.f64 a (*.f64 1/2 (*.f64 a a))) b))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 2) (*.f64 a a)) (-.f64 (fma.f64 1/2 (*.f64 a a) b) a))
(/.f64 (-.f64 (*.f64 (+.f64 a (*.f64 1/2 (*.f64 a a))) (+.f64 a (*.f64 1/2 (*.f64 a a)))) (*.f64 b b)) (-.f64 (+.f64 a (*.f64 1/2 (*.f64 a a))) b))
(pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 1)
(pow.f64 (cbrt.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))) 3)
(pow.f64 (pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))) 2)
(sqrt.f64 (pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 2))
(log.f64 (exp.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)))))
(cbrt.f64 (pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 3))
(expm1.f64 (log1p.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(exp.f64 (log.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(exp.f64 (*.f64 (log.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))) 1))
(log1p.f64 (expm1.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(fma.f64 1 a (fma.f64 1/2 (*.f64 a a) b))
(fma.f64 1 (fma.f64 1/2 (*.f64 a a) b) a)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 a a) b)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 a a) b)) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (fma.f64 1/2 (*.f64 a a) b))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 a a) b)) (sqrt.f64 (fma.f64 1/2 (*.f64 a a) b)) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (fma.f64 1/2 (*.f64 a a) b))
(+.f64 (log.f64 2) (*.f64 b 1/2))
(+.f64 (*.f64 b 1/2) (log.f64 2))
(+.f64 (*.f64 (*.f64 b 1/2) 1) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2)))) 1)
(*.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 1 (fma.f64 b 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2)))
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2)) (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4) (*.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4)) (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) (cbrt.f64 (fma.f64 b 1/2 (log.f64 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 b 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 b 1/2) (*.f64 b 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 b 1/2) (log.f64 2)))))
(/.f64 (-.f64 (*.f64 (*.f64 b 1/2) (*.f64 b 1/2)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 b 1/2) (log.f64 2)))
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 (exp.f64 (*.f64 b 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))) 1)
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))) (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(*.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4) (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 1/2))
(pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))) 3)
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))

simplify124.0ms (0.9%)

Algorithm
egg-herbie
Rules
882×times-frac
650×log-prod
628×fma-def
468×fma-neg
458×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05979387
114869023
252538815
Stop Event
node limit
Counts
275 → 347
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (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 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (+.f64 (*.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)))))) (+.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 a (+.f64 1 (exp.f64 b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 a))
(+.f64 (log.f64 2) (*.f64 1/2 a))
(+.f64 (log.f64 2) (*.f64 1/2 a))
(*.f64 1/2 a)
(+.f64 (log.f64 2) (*.f64 1/2 a))
(+.f64 (log.f64 2) (*.f64 1/2 a))
(+.f64 (log.f64 2) (*.f64 1/2 a))
(*.f64 1/2 a)
(+.f64 (log.f64 2) (*.f64 1/2 a))
(+.f64 (log.f64 2) (*.f64 1/2 a))
(+.f64 (log.f64 2) (*.f64 1/2 a))
(log.f64 (+.f64 2 b))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (/.f64 a (+.f64 2 b))))
(+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (/.f64 a (+.f64 2 b)))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 a))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 a))) (*.f64 2 (/.f64 1 a))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 a))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 2 b)) 4) (pow.f64 a 2))) (*.f64 2 (/.f64 1 a)))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 a))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 16 (*.f64 -24 (+.f64 2 b))) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 2 b)) 4) (pow.f64 a 2))) (*.f64 2 (/.f64 1 a))))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 a))) (*.f64 2 (/.f64 1 a))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 a))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 2 b)) 4) (pow.f64 a 2))) (*.f64 2 (/.f64 1 a)))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 a))) (+.f64 (*.f64 -1/6 (/.f64 (-.f64 (*.f64 24 (+.f64 2 b)) 16) (pow.f64 a 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 2 b)) 4) (pow.f64 a 2))) (*.f64 2 (/.f64 1 a))))))
(log.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 (log.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2))))) (/.f64 b (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2))))))
(+.f64 (log.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2)))) 2))) (/.f64 b (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2)))))))
(+.f64 (log.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2)))) 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2)))) 3))) (/.f64 b (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2))))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 2 (/.f64 1 b)) (/.f64 a b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2)))) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 2 (/.f64 1 b)) (/.f64 a b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2)))) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2)))) 3) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 2 (/.f64 1 b)) (/.f64 a b))))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 2 (/.f64 1 b)) (/.f64 a b)))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2)))) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 2 (/.f64 1 b)) (/.f64 a b))))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2)))) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2)))) 3) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (*.f64 2 (/.f64 1 b)) (/.f64 a b)))))))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (pow.f64 a 2))
b
(+.f64 a b)
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(*.f64 1/2 (pow.f64 a 2))
(+.f64 a (*.f64 1/2 (pow.f64 a 2)))
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(*.f64 1/2 (pow.f64 a 2))
(+.f64 a (*.f64 1/2 (pow.f64 a 2)))
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(+.f64 a (*.f64 1/2 (pow.f64 a 2)))
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
b
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
b
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 b))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 b) (*.f64 (pow.f64 b 4) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 (log.f64 2) 3))) (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3)))) 2))) (*.f64 5/1024 (/.f64 1 (pow.f64 (log.f64 2) 3)))))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 b) (*.f64 (pow.f64 b 4) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 (log.f64 2) 3))) (pow.f64 (*.f64 -1/32 (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3)))) 2))) (*.f64 5/1024 (/.f64 1 (pow.f64 (log.f64 2) 3)))))))
(sqrt.f64 (log.f64 2))
(+.f64 (sqrt.f64 (log.f64 2)) (*.f64 1/4 (*.f64 b (sqrt.f64 (/.f64 1 (log.f64 2))))))
(+.f64 (sqrt.f64 (log.f64 2)) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 b 2) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (*.f64 1/4 (*.f64 b (sqrt.f64 (/.f64 1 (log.f64 2)))))))
(+.f64 (sqrt.f64 (log.f64 2)) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 b 2) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (+.f64 (*.f64 1/128 (*.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))))) (*.f64 1/4 (*.f64 b (sqrt.f64 (/.f64 1 (log.f64 2))))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 1)
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 2))
(log.f64 (+.f64 (+.f64 1 (exp.f64 a)) (expm1.f64 b)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/2 (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 a))) (/.f64 (*.f64 (*.f64 a a) 1/4) (+.f64 (log.f64 2) (*.f64 -1/2 a))))
(*.f64 (fma.f64 a 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 a 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 a 1/2 (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 a 1/2 (log.f64 2)) 2)))
(*.f64 (cbrt.f64 (pow.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 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a 1/2) (-.f64 (*.f64 a 1/2) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a a) 1/4)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 a))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a 1/2) (-.f64 (*.f64 a 1/2) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3)))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 a)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a a) 1/4))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a 1/2) (-.f64 (*.f64 a 1/2) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3))) (+.f64 (*.f64 (*.f64 a a) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) a) 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a a) 1/4)) (+.f64 (log.f64 2) (*.f64 -1/2 a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 a 3)))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a 1/2) (-.f64 (*.f64 a 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a a) 1/4))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 a))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 a 1/2) (log.f64 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 a 1/2 (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 a 1/2))
(fma.f64 1 (*.f64 a 1/2) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 a 1/2))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 a a) 1/4)) (cbrt.f64 (*.f64 a 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 a 1/2))
(fma.f64 (sqrt.f64 (*.f64 a 1/2)) (sqrt.f64 (*.f64 a 1/2)) (log.f64 2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)) 2))) (log.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) (log.f64 (sqrt.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))))
(+.f64 0 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 3) 8)) (log.f64 (+.f64 4 (*.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) (-.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 2)))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 2))) (log.f64 (-.f64 (-.f64 2 a) (fma.f64 1/2 (*.f64 a a) b))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))))) 1)
(*.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))) 1)
(*.f64 1 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) 2) (cbrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) (sqrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))))
(pow.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)))) 1))
(log1p.f64 (-.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) b) (+.f64 a 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 a a)))) 1)
(pow.f64 (*.f64 1/2 (*.f64 a a)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 a a))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 a a) 3) 1/8) 1/3)
(pow.f64 (*.f64 a (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 a 4) 1/4))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 a a)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a a) 3) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 a a))))
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 a a))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 a a))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 a a))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)))) 1)
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (fma.f64 1/2 (*.f64 a a) b))) (/.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 2) (-.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(*.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 1)
(*.f64 1 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)))
(*.f64 (cbrt.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))) (cbrt.f64 (pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 2)) (cbrt.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(*.f64 (sqrt.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))) (sqrt.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (*.f64 (fma.f64 1/2 (*.f64 a a) b) (-.f64 (fma.f64 1/2 (*.f64 a a) b) a)))))
(*.f64 (-.f64 (*.f64 a a) (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 2)) (/.f64 1 (-.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (fma.f64 1/2 (*.f64 a a) b) (-.f64 (fma.f64 1/2 (*.f64 a a) b) a))) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (-.f64 a (fma.f64 1/2 (*.f64 a a) b)) (-.f64 (*.f64 a a) (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 3) (pow.f64 a 3)) (fma.f64 a a (*.f64 (fma.f64 1/2 (*.f64 a a) b) (-.f64 (fma.f64 1/2 (*.f64 a a) b) a))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 2) (-.f64 (*.f64 a a) (*.f64 a (fma.f64 1/2 (*.f64 a a) b)))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 2)) (-.f64 a (fma.f64 1/2 (*.f64 a a) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a a (*.f64 (fma.f64 1/2 (*.f64 a a) b) (-.f64 (fma.f64 1/2 (*.f64 a a) b) a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 2))) (neg.f64 (-.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (*.f64 1/2 (*.f64 a a))) 3) (pow.f64 b 3)) (+.f64 (*.f64 (+.f64 a (*.f64 1/2 (*.f64 a a))) (+.f64 a (*.f64 1/2 (*.f64 a a)))) (-.f64 (*.f64 b b) (*.f64 (+.f64 a (*.f64 1/2 (*.f64 a a))) b))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 a a) b) 2) (*.f64 a a)) (-.f64 (fma.f64 1/2 (*.f64 a a) b) a))
(/.f64 (-.f64 (*.f64 (+.f64 a (*.f64 1/2 (*.f64 a a))) (+.f64 a (*.f64 1/2 (*.f64 a a)))) (*.f64 b b)) (-.f64 (+.f64 a (*.f64 1/2 (*.f64 a a))) b))
(pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 1)
(pow.f64 (cbrt.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))) 3)
(pow.f64 (pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))) 2)
(sqrt.f64 (pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 2))
(log.f64 (exp.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)))))
(cbrt.f64 (pow.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b)) 3))
(expm1.f64 (log1p.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(exp.f64 (log.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(exp.f64 (*.f64 (log.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))) 1))
(log1p.f64 (expm1.f64 (+.f64 a (fma.f64 1/2 (*.f64 a a) b))))
(fma.f64 1 a (fma.f64 1/2 (*.f64 a a) b))
(fma.f64 1 (fma.f64 1/2 (*.f64 a a) b) a)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 a a) b)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 a a) b)) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (fma.f64 1/2 (*.f64 a a) b))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 a a) b)) (sqrt.f64 (fma.f64 1/2 (*.f64 a a) b)) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (fma.f64 1/2 (*.f64 a a) b))
(+.f64 (log.f64 2) (*.f64 b 1/2))
(+.f64 (*.f64 b 1/2) (log.f64 2))
(+.f64 (*.f64 (*.f64 b 1/2) 1) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2)))) 1)
(*.f64 (fma.f64 b 1/2 (log.f64 2)) 1)
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 1 (fma.f64 b 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2)))
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2)) (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4) (*.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4)) (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) (cbrt.f64 (fma.f64 b 1/2 (log.f64 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 b 1/2) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 b 1/2) (*.f64 b 1/2)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 b 1/2) (log.f64 2)))))
(/.f64 (-.f64 (*.f64 (*.f64 b 1/2) (*.f64 b 1/2)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 b 1/2) (log.f64 2)))
(sqrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 (exp.f64 (*.f64 b 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 b 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 b 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 b 1/2 (log.f64 2))))
(fma.f64 b 1/2 (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))) 1)
(*.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))) (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(*.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4) (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 1/2))
(pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))) 3)
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
Outputs
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (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 a (+.f64 1 (exp.f64 b)))))
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(*.f64 1/2 (*.f64 a a))
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(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (*.f64 a a))
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(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (*.f64 a a))
(*.f64 a (*.f64 a 1/2))
b
(+.f64 a b)
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(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (*.f64 a a))
(*.f64 a (*.f64 a 1/2))
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(fma.f64 1/2 (*.f64 a a) a)
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(*.f64 1/2 (pow.f64 a 2))
(*.f64 1/2 (*.f64 a a))
(*.f64 a (*.f64 a 1/2))
(+.f64 a (*.f64 1/2 (pow.f64 a 2)))
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(fma.f64 1/2 (*.f64 a a) a)
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(fma.f64 1/2 (*.f64 a a) a)
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
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(+.f64 b (fma.f64 1/2 (*.f64 a a) a))
b
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(+.f64 a (fma.f64 1/2 (*.f64 a a) b))
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(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(+.f64 a (fma.f64 1/2 (*.f64 a a) b))
(+.f64 b (fma.f64 1/2 (*.f64 a a) a))
b
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(+.f64 a (fma.f64 1/2 (*.f64 a a) b))
(+.f64 b (fma.f64 1/2 (*.f64 a a) a))
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(+.f64 a (fma.f64 1/2 (*.f64 a a) b))
(+.f64 b (fma.f64 1/2 (*.f64 a a) a))
(+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 a 2))))
(+.f64 a (fma.f64 1/2 (*.f64 a a) b))
(+.f64 b (fma.f64 1/2 (*.f64 a a) a))
(log.f64 2)
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(fma.f64 b 1/2 (log.f64 2))
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(sqrt.f64 (log.f64 2))
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(fma.f64 1/4 (*.f64 b (sqrt.f64 (/.f64 1 (log.f64 2)))) (sqrt.f64 (log.f64 2)))
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(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
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(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
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(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
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(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2)
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(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 2))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(log.f64 (+.f64 (+.f64 1 (exp.f64 a)) (expm1.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/2 (log.f64 2)))) 1)
(fma.f64 a 1/2 (log.f64 2))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 a))) (/.f64 (*.f64 (*.f64 a a) 1/4) (+.f64 (log.f64 2) (*.f64 -1/2 a))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 a (*.f64 a 1/4))) (+.f64 (log.f64 2) (*.f64 a -1/2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 a a) -1/4)) (fma.f64 a -1/2 (log.f64 2)))
(*.f64 (fma.f64 a 1/2 (log.f64 2)) 1)
(fma.f64 a 1/2 (log.f64 2))
(*.f64 1 (fma.f64 a 1/2 (log.f64 2)))
(fma.f64 a 1/2 (log.f64 2))
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(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(*.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(*.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4) (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4))
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/2)
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 1)
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))) 3)
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3/2))
(pow.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 1/4) 2)
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))
(fabs.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))))
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))
(cbrt.f64 (pow.f64 (fma.f64 b 1/2 (log.f64 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 b 1/2 (log.f64 2))) 1/2))
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))) 1))
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))))
(sqrt.f64 (fma.f64 b 1/2 (log.f64 2)))

eval143.0ms (1%)

Compiler

Compiled 7054 to 4915 computations (30.3% saved)

prune56.0ms (0.4%)

Pruning

16 alts after pruning (5 fresh and 11 done)

PrunedKeptTotal
New3443347
Fresh022
Picked145
Done077
Total34516361
Accuracy
99.7%
Counts
361 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
52.7%
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))) 2)
55.7%
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
53.5%
(+.f64 (*.f64 1/2 b) (log.f64 2))
61.9%
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
53.3%
(+.f64 (log.f64 2) (*.f64 a 1/2))
2.6%
(*.f64 a 1/2)
99.6%
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
98.4%
(log1p.f64 (+.f64 (exp.f64 a) b))
55.6%
(log1p.f64 (exp.f64 a))
53.7%
(log.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (*.f64 a a)))))
53.5%
(log.f64 (+.f64 2 b))
57.2%
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (*.f64 b b))))))
56.9%
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
1.1%
(log.f64 b)
53.4%
(log.f64 2)
Compiler

Compiled 283 to 201 computations (29% saved)

regimes42.0ms (0.3%)

Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 a 1/2)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 b))
(+.f64 (log.f64 2) (*.f64 a 1/2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (*.f64 a a)))))
(log.f64 (+.f64 2 (+.f64 a (+.f64 (*.f64 1/2 (*.f64 a a)) b))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(pow.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))) 2)
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b 2))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 b 1/2 (log.f64 2))))) 2)
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Calls

6 calls:

12.0ms
a
12.0ms
b
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
99.7%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
99.7%1(+.f64 (exp.f64 a) (exp.f64 b))
99.7%1(exp.f64 a)
99.7%1(exp.f64 b)
Compiler

Compiled 177 to 112 computations (36.7% saved)

regimes33.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 a 1/2)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 b))
(+.f64 (log.f64 2) (*.f64 a 1/2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (*.f64 a a)))))
(log.f64 (+.f64 2 (+.f64 a (+.f64 (*.f64 1/2 (*.f64 a a)) b))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log.f64 (+.f64 1 (+.f64 b (exp.f64 a))))
(log.f64 (+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Calls

6 calls:

10.0ms
b
9.0ms
a
3.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
99.6%1(+.f64 (exp.f64 a) (exp.f64 b))
99.6%1(exp.f64 a)
99.6%1(exp.f64 b)
Compiler

Compiled 119 to 78 computations (34.5% saved)

regimes32.0ms (0.2%)

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

6 calls:

8.0ms
b
8.0ms
a
4.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
98.4%1a
98.4%1b
98.4%1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
98.4%1(+.f64 (exp.f64 a) (exp.f64 b))
98.4%1(exp.f64 a)
98.4%1(exp.f64 b)
Compiler

Compiled 113 to 75 computations (33.6% saved)

regimes21.0ms (0.2%)

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

4 calls:

7.0ms
b
7.0ms
a
2.0ms
(exp.f64 a)
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
55.6%1a
55.6%1b
55.6%1(exp.f64 a)
55.6%1(exp.f64 b)
Compiler

Compiled 67 to 48 computations (28.4% saved)

regimes15.0ms (0.1%)

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

2 calls:

7.0ms
b
6.0ms
a
Results
AccuracySegmentsBranch
53.7%1a
53.7%1b
Compiler

Compiled 53 to 38 computations (28.3% saved)

regimes14.0ms (0.1%)

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

2 calls:

5.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
53.7%1b
53.7%1a
Compiler

Compiled 41 to 31 computations (24.4% saved)

regimes12.0ms (0.1%)

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

2 calls:

5.0ms
a
5.0ms
b
Results
AccuracySegmentsBranch
53.5%1b
53.5%1a
Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes11.0ms (0.1%)

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

2 calls:

5.0ms
b
5.0ms
a
Results
AccuracySegmentsBranch
53.5%1b
53.5%1a
Compiler

Compiled 25 to 19 computations (24% saved)

regimes10.0ms (0.1%)

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

2 calls:

5.0ms
a
4.0ms
b
Results
AccuracySegmentsBranch
53.4%1b
53.4%1a
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes6.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
2.6%1b
2.6%1a
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
033178
149178
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 2 (+.f64 a (+.f64 (*.f64 1/2 (*.f64 a a)) b))))
(log.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (*.f64 a a)))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log.f64 (+.f64 2 b))
(log.f64 2)
(*.f64 a 1/2)
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) b))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 2 (+.f64 a (+.f64 (*.f64 1/2 (*.f64 a a)) b))))
(log.f64 (+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (*.f64 a a))))))
(log.f64 (+.f64 2 (+.f64 a (*.f64 1/2 (*.f64 a a)))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 b 1/2) (log.f64 2))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b 2))
(log.f64 2)
(*.f64 a 1/2)
Compiler

Compiled 81 to 62 computations (23.5% saved)

soundness1.3s (9.1%)

Rules
1792×pow1
1704×fma-def
1704×fma-def
1704×fma-def
1704×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02032878
15042510
216452328
373702328
02032878
15042510
216452328
373702328
071211543
1178611025
2681310959
05979387
114869023
252538815
02032878
15042510
216452328
373702328
071211543
1178611025
2681310959
071211543
1178611025
2681310959
05979387
114869023
252538815
022168
1477160
26770160
0934
117734
2226234
02032878
15042510
216452328
373702328
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 273 to 152 computations (44.3% saved)

end0.0ms (0%)

preprocess76.0ms (0.5%)

Compiler

Compiled 166 to 106 computations (36.1% saved)

Profiling

Loading profile data...